49
TO BE OR NOT TO B2B: EVALUATING MANAGERIAL CHOICES FOR E-PROCUREMENT CHANNEL ADOPTION Qizhi Dai Assistant Professor Lebow College of Business, Drexel University, Philadelphia, PA 19104 Email: [email protected] Robert J. Kauffman Professor and Director, MIS Research Center Carlson School of Management, University of Minnesota, Minneapolis, MN 55455 Email: [email protected] Last revised: October 9, 2003 ______________________________________________________________________________ ABSTRACT With the increasing popularity of commercial uses of the Internet, business-to-business (B2B) e- commerce and e-procurement are moving corporate purchasing to the World Wide Web. E- procurement systems are computer systems and communication networks through which firms buy and sell products. We identify two types of e-procurement systems: extranets and electronic markets. Extranets connect the buyer and its suppliers with a closed network. In contrast, electronic markets create open networks for buyer and supplier interactions. The differences between these two types of e-procurement channels lie in system implementation costs, marketplace benefits, and the extent of supplier competitive advantage that develops due to information sharing. In this article, we develop a new theoretical model to analyze the adoption of e-procurement systems from the buyer’s perspective, to explore the set of conditions under which the buyer will prefer to procure via an electronic market instead of using proprietary extranet connections. The primary finding is that a buyer will adopt an e-market approach when the supplier’s competitive advantage derived from access to strategic information is modest compared with the variable net benefit that the e-procurement channel generate. We also find that the buyer is likely to have a bigger trading network with an e-market than with an extranet in order to capture the greatest available benefits. Overall, this study offers guidelines for managers to design and select e-procurement channels to fit different procurement needs. KEYWORDS: B2B e-commerce, economic analysis, EDI, electronic markets, e-procurement, extranets, information asymmetry, IOS, networks, supply chain management ______________________________________________________________________________ ACKNOWLEDGEMENTS. We thank the anonymous reviewers and participants in the 2001 INFORMS CIST meeting and the Information Technology Management review process for useful input on earlier versions of this paper. We also acknowledge the helpful suggestions of Gordon Davis, Paul Glewwe, Kunsoo Han, Joakim Kalvenes, Hamid Mohtadi, Barrie Nault, Fred Riggins, Eric Walden, and participants in the Friday IS Research Workshop at the Carlson School of Management. Rob Kauffman acknowledges the support of the MIS Research Center of the University of Minnesota.

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Page 1: Extranets - University of Minnesota

TO BE OR NOT TO B2B: EVALUATING MANAGERIAL CHOICES FOR E-PROCUREMENT CHANNEL ADOPTION

Qizhi Dai

Assistant Professor Lebow College of Business, Drexel University, Philadelphia, PA 19104

Email: [email protected]

Robert J. Kauffman Professor and Director, MIS Research Center

Carlson School of Management, University of Minnesota, Minneapolis, MN 55455 Email: [email protected]

Last revised: October 9, 2003

______________________________________________________________________________

ABSTRACT

With the increasing popularity of commercial uses of the Internet, business-to-business (B2B) e-commerce and e-procurement are moving corporate purchasing to the World Wide Web. E-procurement systems are computer systems and communication networks through which firms buy and sell products. We identify two types of e-procurement systems: extranets and electronic markets. Extranets connect the buyer and its suppliers with a closed network. In contrast, electronic markets create open networks for buyer and supplier interactions. The differences between these two types of e-procurement channels lie in system implementation costs, marketplace benefits, and the extent of supplier competitive advantage that develops due to information sharing. In this article, we develop a new theoretical model to analyze the adoption of e-procurement systems from the buyer’s perspective, to explore the set of conditions under which the buyer will prefer to procure via an electronic market instead of using proprietary extranet connections. The primary finding is that a buyer will adopt an e-market approach when the supplier’s competitive advantage derived from access to strategic information is modest compared with the variable net benefit that the e-procurement channel generate. We also find that the buyer is likely to have a bigger trading network with an e-market than with an extranet in order to capture the greatest available benefits. Overall, this study offers guidelines for managers to design and select e-procurement channels to fit different procurement needs.

KEYWORDS: B2B e-commerce, economic analysis, EDI, electronic markets, e-procurement, extranets, information asymmetry, IOS, networks, supply chain management

______________________________________________________________________________

ACKNOWLEDGEMENTS. We thank the anonymous reviewers and participants in the 2001 INFORMS CIST meeting and the Information Technology Management review process for useful input on earlier versions of this paper. We also acknowledge the helpful suggestions of Gordon Davis, Paul Glewwe, Kunsoo Han, Joakim Kalvenes, Hamid Mohtadi, Barrie Nault, Fred Riggins, Eric Walden, and participants in the Friday IS Research Workshop at the Carlson School of Management. Rob Kauffman acknowledges the support of the MIS Research Center of the University of Minnesota.

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INTRODUCTION

Managing the procurement of supplies is an important activity in support of the firm’s overall

efforts to both control purchasing process expenses and lay a foundation for the competitive

product prices. To enhance the efficiency of purchasing and supply management, firms have

been gradually adopting information systems (IS) and communication networks to automate the

major procurement processes. For example, proprietary systems have been implemented to

transmit documents electronically to business partners to reduce order processing costs. And

with more recent commercial uses of the Internet, firms have been computerizing their

procurement processes using emerging technologies and moving their corporate purchasing to

the World Wide Web. These systems mainly serve corporate procurement needs, and we will

refer to them as electronic procurement or e-procurement systems in this article, and study the

adoption decisions of these systems from the buyer’s perspective. According to Gartner Inc., the

global sales of e-procurement software totaled nearly US$1 billion in 2000, rising from US$62

million in 1997 (Rosall, 2002). IDC, a leading provider of technology intelligence and industry

data analysis, has predicted that e-procurement, through a combination of EDI and Internet-based

systems, will grow from US$225 billion in 2002 to about US$1.5 trillion by 2006, a seven-fold

increase (Hamblen, 2002).

Along with the increasing adoption of e-procurement systems, a variety of functions have

been developed to support purchasing activities. For example, e-catalogs aggregate product

information, and reverse auctions and forward auctions match demand and supply. Meanwhile,

e-procurement systems are implemented and operated with different structures in mind to suit

their organizational investors. In some systems, electronic procurement is channeled through

public exchanges; in others, inter-firm transactions are carried out through private networks. For

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firms that are considering adopting e-procurement systems, the variety of system structures and

the new functionality prompt senior managers to ask a key question: How should firms

differentiate and assess e-procurement channels, and then choose the one that will best meet their

needs?

To address the above question, we examine the features and benefits of e-procurement

systems in supply chain management from the buyer’s perspective, and develop a theoretical

model that is based on prior research in the Economics, IS and Supply Chain Management

literatures, to analyze technology adoption decisions that are faced by senior managers. The next

section characterizes e-procurement systems in terms of two different types: extranets and e-

markets. The latter choice prompts us to state the managerial question in the Shakespearian

terms used in the title of this paper as “To be or not to B2B?” With these words in mind, we

want to emphasize the extent to which a commitment to an e-market approach for procurement is

associated with the Internet and the B2B e-commerce phenomenon. We also want to show the

importance for management to think through the alternatives of e-procurement and to make

appropriate adoption decisions. We also will review related research in Economics, IS and

interorganizational systems (IOS) and supply chain procurement-related e-markets, which lays

the foundation for the model we will build. Our emphasis is on the difference between extranets

and e-markets, and how senior managers should understand them and the related issues in the

larger context of procurement IOS. The third section develops the theoretical constructs and

relationships associated with the basic modeling framework.

The fourth section analyzes firm adoption decisions in the context of the model, and reveals

the conditions under which an e-market is preferred over an extranet. The primary finding from

this research is that a buyer will adopt an e-market approach when the competitive advantage

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that a supplier gains over its rivals by joining the e-procurement network is modest. A second

important finding is that the buyer will need to have a bigger trading network with an e-market

than with an extranet in order to achieve the highest benefits. Thereafter, we discuss the

managerial implications of our theoretical model and apply our analysis to understand some of

the current industry practices in e-procurement adoption. We conclude with an assessment of the

contributions and implications of this research for both research and practice.

THEORETICAL BACKGROUND

In this section, we briefly review the development of e-procurement systems and discuss the

two forms of e-procurement channels, extranets and e-markets. We also draw on prior research

on IOS to develop the framework for modeling firm decisions in adopting e-procurement

systems.

Extranets and Electronic Markets in E-Procurement

Although the term “e-procurement” was introduced in recent years with the advent of e-

commerce, IS solutions—actually interorganizational information systems (IOSs)—have been

used for corporate procurement since long before the commercial use of the Internet. One

important type of IOS is electronic data interchange (EDI), the business-to-business exchange

of electronic documents in a standard machine-readable format. EDI systems are exemplars of

the early practice of B2B e-commerce and e-procurement, albeit outside the scope of the

technological innovations that are typically associated with the Internet today. The functions of

such EDI systems ranged from simple order entry and invoicing, to product promotion,

document and data sharing, joint product development and even process knowledge transfer

(Johnston and Vitale, 1988; Riggins and Rhee, 1999; Chatfield and Yetton, 2000).

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More recently, the commercialization of the Internet has brought about Internet-based or

Web-based EDI. Using this mechanism, firms transmit data via the public network infrastructure

for the Internet, instead of value-added networks or VANs (Riggins and Mukhopadhyay, 1999;

Kauffman and Mohtadi, 2003). Another form of Internet-based B2B e-commerce utilizes

another technology-based approach: an extranet, a secure and private, Web-based network,

which provides pre-selected suppliers, customers and other business partners access to the

initiator’s corporate databases, or facilitate collaborative tasks among a group of organizations

(Riggins and Rhee, 1998). Via extranets, firms not only can order and purchase from suppliers,

but they also can share product and sales information with each other.

Moreover, innovative Internet-based exchanges have opened up new intermediated channels

for corporate purchasing. Along with electronic catalogs, electronic auctions and other

capabilities, these exchanges aggregate product and price information, match supply and

demand, and facilitate transactions between buyers and their suppliers (Dai and Kauffman,

2002). Through these online markets, buyers can do one-stop, comparison shopping for

thousands of suppliers and select the best source among them in real-time. They also can

bargain and negotiate with suppliers, place orders, make payments and receive invoices.

These e-procurement systems vary in many aspects, including the underlying technologies

and specific functions. One fundamental feature that differentiates these systems is the openness

of the trading networks they create. For example, Web-based B2B exchanges provide open

networks with potentially larger pools of business partners for their member firms—both more

buyers to reach for orders for each supplier, and more choices among different suppliers for each

buyer. EDI systems are proprietary closed networks: they are only open to pre-selected business

partners, who are able to meet special business process, quality and financial capabilities

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requirements. In this study, we refer to the Web-based B2B electronic marketplaces as e-markets. In

contrast to e-markets, extranets are closed proprietary electronic trading networks as extranets, and one

instance of extranets are EDI systems. But extranets also include other interorganizational information

systems that provide closed inter-firm trading networks. Table 1 provides some basic comparisons in

terms of the features of the network, the means by which market-making occurs, the extent of

information sharing and the associated implementation costs.

Table 1. A Comparison of Extranets and E-Markets in E-Procurement

DIMENSIONS FOR COMPARISON

EXTRANETS E-MARKETS

Network features Private networks – only open to pre-selected business partners

Open networks – accessible to a large set of potential business partners

Market-making Limited market-making functions and restricted set of trading partners

More market-making functions and easier access to a larger pool of potential partners

Information sharing Both transactional and strategic information can be shared

Mostly transactional information is shared; strategic information is not

Implementation costs High costs to have additional participants in the network

Low costs to add additional participants to the network

Extranets and e-markets differ in the market-making capabilities they offer to participants.

First, many Internet-based market-making capabilities such as online auctions and RFQ’s are

available in e-markets. They tend to lower the buyer’s costs in searching for the right products.

Second, an e-market provides an open online marketplace which makes it easier for the buyer to

identify and develop new suppliers among firms that are not in the buyer’s current supplier set

but are potentially valuable exchange partners. These e-market functions help users with

information processing. This eases the job of finding the right products, although firms may find

these e-market functions beneficial to different degrees under different market situations. For

example, in a market where vendors are selling differentiated products, buyers may have to

spend time and effort to find the desired products and to do comparison shopping. In this case,

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they will be able to benefit greatly from the rich set of market-making functions and expanded

pool of potential suppliers that e-markets offer. In contrast, in a market where there are a limited

number of suppliers providing commodities, buyers may not need to do extensive search on the

product and price information, and thus the marketplace benefit may not be viewed as important

as in a differentiated market. But, buyers will still enjoy the reduction in time and effort spent on

searching for product and price information via the various market making functions.

The openness of e-markets offers enhanced marketplace benefits, but tends to reduce

information sharing between the buyer and its suppliers. In e-markets, the level of information

sharing between buyers and suppliers will be lower than in extranets due to privacy and security

concerns, or the limitations of the underlying technologies. Transactional information such as

ordering and invoicing data can still be exchanged through online markets just as occurs via

extranets. But suppliers may be unable to obtain very much strategic information about the

buyer, such as the buyer’s inventory level, and may lose access to detailed sales and product data

that are sources of competitive value.

E-markets and extranets do not only differ in the above benefits they offer to participants.

They also differ in the costs required for players to implement and operate the e-procurement

systems. To join in an extranet, for example, a supplier has to invest in proprietary technologies.

Typically, the high system implementation costs will tend to act as a barrier that keeps the

adoption rate of EDI low among small and medium sized firms (Iacovou and Benbasat, 1995).

In contrast, e-markets are built around open standards and the communication infrastructures of

the Internet. As a result, the technology requirements for a supplier to participate can be

obtained at much less expense than the proprietary technologies needed for joining an extranet.

For the same reason, it becomes easier for the buyer to add suppliers to its e-procurement

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network with an e-market than with an extranet. The cost advantage of e-markets is also

recognized in industry practices. For example, management at Schlumberger Inc., a Texas-based

company that focuses on the oil and gas, energy and utilities, information services and

telecommunications industries, has pointed out that EDI systems required a series of expensive,

one-to-one connections with individual suppliers while a Web-based marketplace connected with

hundreds of suppliers through a single system at a lower cost (Ovans, 2000). In the electronics

industry, firms have noted that the use of the Internet as the infrastructure reduces costs because

there is no need for proprietary hardware and software, such as specialty terminals and software,

along with the higher associated maintenance costs (Giudici, 2000). In addition, another study

found that EDI transactions cost about $8 while Web-based transactions cost only about $1 per

transaction (Kiesel, 2003). This shows that the variable cost of e-markets is lower than extranets.

Regardless of the differences, extranets and B2B e-markets both are designed and

implemented to empower buyers to locate and procure products with the support of computers

and communication networks. They are among the most effective kinds of IOS investments that

we have seen to date, in terms of their capacity to generate value and transform firms and the

marketplaces within which they operate. Hereafter, we will draw on research in IOS to examine

the important aspects of e-procurement systems in general, and then study the differences

between extranets and e-markets along these lines.

Interorganizational Information Systems

Prior research on IOS has studied several issues related to IOS adoption. We briefly review

these studies to lay the foundation for the modeling in the following section. See Table 2.

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Table 2. A Summary of Procurement-Related IOS Research

ISSUES MAIN FINDINGS REFERENCES

Network externalities and subsidy policy

When more suppliers join an IOS, the buyer’s benefits increase while each supplier’s benefits decrease.

A buyer may offer subsidies to encourage supplier participation.

Riggins, Kriebel and Mukhopadyay (1994); Wang and Seidmann (1995); Barua and Lee (1997)

Determinants of IOS adoption

Perceived benefits, external pressures and organizational readiness positively affect firm intentions to adopt EDI systems

Iacovou and Benbasat (1995); Chwelos, Benbasat and Dexter (2001)

Operational efficiency

IOS generate efficiency by reduced documents processing and transmission time, improved data quality and fewer errors.

Johnston and Vitale (1988); Mukhopadhyay, Kekre and Kalathur (1995)

Marketplace benefits

IOS create electronic marketplaces that lower search costs; B2B electronic markets enable firms to find better deals.

Bakos (1991); Garicano and Kaplan (2001)

Information sharing

In addition to transactional information, inventory levels, sales data and demand forecasts may be shared that enable suppliers to better schedule production.

Product design information can be shared and suppliers can accumulate expertise about market and product.

Suppliers offer incentives to buyers in exchange for the strategic information.

Seidmann and Sundararajan (1997); Riggins and Rhee (1999); Lee and Whang (2000); Chatfield and Yetton (2000); Lee, So and Tang (2000); Mohtadi and Kauffman (2003)

The IOS adoption literature offers theoretical models to analyze the impact of technology-

based procurement solutions on the system initiators and participants, as well as managerial

guidance related to how they should be implemented and managed. Riggins, Kriebel and

Mukhopadhyay (1994) developed a two-stage economic model that characterizes how a buyer’s

subsidy strategy can be leveraged to expand its IOS network. They argued that in an IOS

network, the benefit of participating suppliers decreases as more suppliers join in. This effect is

referred to as negative externalities, and tends to stall adoption by suppliers. To overcome this

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stalling problem, the buyer must be willing to subsidize suppliers as long as it can gain additional

benefits by having an additional supplier in the network. Besides the negative externalities,

Wang and Seidmann (1995) took into account the positive externalities that the buyer, the IOS

network initiator, enjoys from supplier adoption. They modeled the benefit of EDI as reducing

transaction costs for the buyer, and pointed out that partial adoption by the suppliers may be

optimal for the buyer when the supplier adoption cost is sufficiently high. Their study also

shows that non-adopting suppliers lose market share to adopting suppliers as the buyer shifts its

orders from non-adopters to adopters. Other aspects of the IOS adoption problem have been

studied by Barua and Lee (1997), who built a Stackelberg model to analyze firm strategy for the

introduction of an EDI system in a vertical market involving one manufacturer and two

suppliers. They focused on the timing of adoption by the two suppliers when the buyer employs

penalty and subsidy policies.

Although the theoretical models investigate adoption strategies, the IOS adoption literature

also offers many empirical studies that examine the determinants of adoption decisions. One

such study is by Iacovou and Benbasat (1995), who developed a conceptual framework to

examine the major factors that influence EDI adoption practices. The authors identified three

relevant factors: perceived benefits, external pressure, and organizational readiness. Chwelos,

Benbasat and Dexter (2001) extended this model with sub-constructs for the three factors and

empirically tested the model. In their extension, a construct for “external pressure” is

conceptualized as a combination of pressures from competitors and their trading partners. On

the basis of a survey of 268 responses, they found that all these three factors had significant

positive effects on firm intentions to adopt EDI systems. In a similar vein, we next will discuss

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the various benefits that senior managers believe they will be able to obtain by adopting IOSs in

supply chain management.

In this business context, IOSs generate efficiency benefits for both buyers and suppliers

through reduced flow time and costs of document generation and transmission, improved data

integrity and fewer errors (Johnston and Vitale, 1988). Mukhopadhyay, Kekre and Kalathur

(1995) reported on an empirical analysis of the effects of Chrysler Corporation’s adoption of EDI

systems. Their results show that the firm obtains approximately $100 in savings per vehicle,

attributable solely to electronic document preparation and better information exchange. These

savings come from reducing inventory holding costs, obsolete inventory costs and transportation

costs. By receiving order information that is directly entered by buyers, suppliers can reduce the

costs of order entry and at the same time capture data more quickly. The response time for

feedback on product availability and price will also be reduced.

In addition to the efficiency gains from reduced order processing costs, firms can also benefit

from the market-making capabilities of IOS. Bakos (1991) has argued that IOS networks create

electronic marketplaces that function as intermediaries between buyers and sellers. An important

feature of these electronic marketplaces is that they reduce search costs that buyers must pay to

obtain the product and price information, which, in turn, enables buyers to search more to locate

desired products and lowers the average seller prices. While Bakos (1991) analyzed the market

making benefits of IOS conceptually, Garicano and Kaplan (2001) conducted an empirical study

on the costs of inter-firm transactions on an Internet-based electronic marketplace. They

measured the costs of purchasing used cars on an Internet-based marketplace and reported that

buyers are able to get products that better meet their needs on the Internet than from a physical

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market. This benefit is referred to as a marketplace benefit since it comes from the capabilities

of an electronic marketplace in matching demand and supplier at lower costs.

Although IOSs were first designed to facilitate inter-firm purchasing transactions

electronically, they also have been deployed to share other types of information in a more timely

and efficient manner so that better decisions can be made (Lee and Whang, 2000). More

specifically, a buyer can share its data about inventory level, sales or POS, and sales forecast

with a supplier. Such information typically is not meant to support transactions between buyers

and suppliers as the transactional information, but instead enables a supplier to obtain a more

timely and accurate forecast about market demand and buyer performance. As a result, the

supplier is able to better respond to market opportunities and earn a competitive advantage over

its rivals who do not have such information (Seidmann and Sundararajan, 1997). Moreover, with

the electronic communication functions of IOS, complex and detailed product design information

also can be transferred between buyers and suppliers, enabling joint product design and

development (Chatfield and Yetton, 2000). Suppliers participating in extranets will be able to

accumulate expertise about market demand and product features, which usually leads to product

innovation and market expansion (Riggins and Rhee, 1999). Such information benefits the

supplier strategically instead of operationally, and thus is referred to as strategic information.

However, the buyer does not gain much by just sharing such information, and thus the

supplier will need to provide incentives to entice the buyer to share its demand information. One

common practice is to enter into programs that aim to reduce the buyer’s overhead and

processing costs, or the replenishment lead time (Lee, So and Tang, 2000). For example, “quick

response programs” require the supplier to react quickly to the buyer’s orders with a small

amount of inventory and reduce the lead time for replenishing the buyer’s inventory. However,

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reducing lead time will tend to increase the supplier’s logistics, inventory holding and storage

costs (Lee, So and Tang, 2000). Viewed this way, the supplier is actually making an investment

that mostly will benefit the buyer, with the result that the supplier internalizes as part of its own

costs.

In summary, IOSs generate several benefits for firms. By conducting transactions with them,

firms achieve efficiency benefits and marketplace benefits. By sharing strategic and proprietary

information, suppliers obtain competitive advantage over rivals while buyers get relationship-

specific investment from suppliers. However, in prior research, these benefits and their effects

on adoption practices have been studied in the context of just one type of IOS: EDI systems. But

e-procurement systems vary in their technical designs and organizational structures, and senior

managers need guidelines to distinguish and choose among the various types of e-procurement

channels. For this purpose, we develop a formal model to analyze decisions about how to adopt

the appropriate e-procurement channel in the next section.

A BUYER-FOCUSED MODEL FOR E-PROCUREMENT CHANNEL ADOPTION

The adoption of e-procurement systems requires the participation of multiple firms. Among

them, certain firms will act as initiators by selecting the procurement channel and strongly

encouraging their business partners to adopt the related technology. We examine the adoption of

e-procurement systems from a single buyer’s perspective. In this context, the buyer plays the

role of an initiator, while suppliers act as followers. For example, Chrysler launched its EDI

program in 1984 and, according to Mukhopadhyay, Kekre and Kalathur (1995), almost all its

suppliers adopted this network by 1990. Wal-Mart is another good example here; it runs a proprietary

network and asks its suppliers to link with this network (Karpinski, 2002). More recently, when big

corporate buyers started to move to online markets, they also requested specific suppliers to

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participate and make their systems compliant to make the solution viable. Schlumberger Inc.,

which we referred to earlier in this article, for example, asked its suppliers to participate in

CommerceOne’s MarketSite when MarketSite was chosen as the purchasing channel for

Schlumberger’s office supplies (Ovans, 2000).

In the following analysis, we model the case of a single buyer with its multiple suppliers.

Assume that the buyer has N suppliers and initiates the implementation of an e-procurement

system. That is, the buyer will define the technical and business characteristics of the system,

and must make a choice between two different alternatives: a proprietary extranet and an e-

market mechanism. In addition, the suppliers will decide whether to join the buyer’s network, so

a sequential decision will be involved. To participate, a supplier must make an aggregate

investment, c, in the software, hardware and telecommunication network so that it can exchange

documents and information electronically with the buyer. For example, in the case of traditional

EDI systems, the supplier has to subscribe to a VAN to be linked with the buyer’s system. The

aggregate investment reflects both fixed and variable costs that a supplier has to incur in order to

set up the electronic linkage with the buyer’s e-procurement network. At the same time, the

supplier will enjoy efficiency benefits, e, that include reduced data entry and order processing

costs due to electronic communications with the buyer. (For reference, the reader should see

Table 3, which includes definitions for all of the notation used here and later in this article.)

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Table 3. Modeling Notation Summary

NOTATION DEFINITION a Supplier’s competitive advantage when the first supplier joins the

e-procurement system r Buyer’s operational efficiency c Supplier’s system implementation costs g Buyer’s variable marketplace benefits e Supplier’s operational efficiency i Supplier relationship-specific investment costs UBuyer Buyer’s net benefits with an e-procurement system

JoinSupplierU Supplier’s net benefits when it joins the e-procurement network NoJoinSupplierU Supplier’s net benefits when it does not join the e-procurement

network },...,1{ Nn∈ Number of suppliers participating in the e-procurement network,

out of the total N suppliers with the buyer f(n,N) Negative externality ratio, which reduces the supplier’s competitive

advantage as the number of participants increases h(.), h0, h1 The buyer’s total, fixed, and variable system implementation costs s Subsidy level for adoption XNT, EMKT Superscripts to denote selection of extranet, XNT, or e-market,

EMKT, respectively, applied to various parameters in the model.

As discussed in the previous section, the supplier also enjoys a competitive advantage that is

derived from the more timely access to strategic information via the electronic communication

with the buyer. Such benefits decrease as the number of participating suppliers increases since

more suppliers have better access to the information. So every participant’s advantage over

other non-participants will be reduced. Let a represent the supplier’s competitive advantage

when the first suppler joins the e-procurement system. As the number of suppliers increases,

each supplier’s competitive advantage decreases by the negative externality ratio, f(n, N), which

is a function of the number of participants, n, and the total number of suppliers in the e-

procurement network, N. We view N as a given parameter and so do not discuss its effect. Thus

altogether, a supplier will expect to get benefits equal to aNnfe ⋅+ ),( by joining the e-

procurement network.

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Along with increased information sharing via an IOS, buyers and suppliers may enter into

programs that involve other efforts and gains that are made at the interorganizational level. One

instance is vendor-managed inventory (VMI), a program by which the supplier manages the

buyer’s inventory and schedules replenishment and delivery, essentially bearing the inventory

management costs for the buyer. Such programs shift the costs and benefits between the buyer

and its suppliers. In the context of e-procurement where the buyer defines the system

characteristics, we represent these as an investment cost i on the supplier side which benefits the

buyer. More specifically, the supplier takes time and effort in monitoring and managing the

buyer’s inventory, and even holds safety stock to secure supply. Such investment is spent

specifically for the buyer and can not be recovered or redeployed easily for other customers,

although the experiences and knowledge obtained can be applied to other situations. As a result,

we will refer to it as a supplier relationship-specific investment. A supplier may incur such a

cost over time, but in our discussion here, we aggregate the ongoing cost for the relationship-

specific program and represent it as one cost variable for the supplier. Therefore, when a

supplier considers whether to join, the net benefits it perceives are given by:

(1) ciaNnfenU JoinSupplier −−⋅+= ),()(

The superscript Join on the net benefits of the subscripted Supplier represents the case in which

the supplier joins the e-procurement network.

In contrast, if the supplier does not join the e-procurement network, it will not incur the costs

for setting up the systems, nor does it gain the efficiency benefits. However, it will be at a

disadvantage to other participating suppliers. For example, it will not have access to as timely

and as accurate information as other suppliers do via the electronic communication networks of

the e-procurement system. To contrast this situation with the competitive advantage of

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participating suppliers, we represent such competitive disadvantage as aNnf ⋅− ),( . This is the

perceived loss of not joining, represented as

aNnfnU NoJoinSupplier ⋅−= ),()( , (2)

where the superscript NoJoin represents the case that the subscripted Supplier does not join the

e-procurement network.

As the initiator, the buyer makes significant investments in designing and implementing the

e-procurement system. In addition to the up-front costs, the buyer will incur marginal costs as

suppliers join the network, including additional communication linkages and data processing

expenses. We represent such costs as an increasing function of the number of suppliers, n,

participating in the network, nhhnh ⋅+= 10)( where h0 > 0 and h1 > 0.

The buyer will obtain operational efficiency by implementing the e-procurement system in

the form of reduced inventory costs and ordering costs, and this efficiency gain increases with

the number of suppliers who join in the network. Representing the buyer’s gains from

operational efficiency, r, when an additional supplier joins the network, we get the total

efficiency benefits for the buyer, rn ⋅ . Moreover, the buyer benefits from the effort that a

participating supplier makes in such bilateral programs as VMI. Such effort is represented as the

supplier relationship-specific investment, i, and is directly transferred from the supplier to the

buyer, indicating that the buyer obtains a benefit i from the supplier. In the case of VMI, to the

buyer, this benefit factor i represents the reduced variable cost in inventory control. As the buyer

is able to get such a benefit from each supplier participating in the network, it will gain in ⋅ in

total this way. If all suppliers enter into the VMI program with the buyer, the buyer may be able

to eliminate all inventory control costs including the fixed cost of running a warehouse.

Another possible source for the buyer’s benefit is the e-procurement’s function as an

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electronic marketplace that enables the buyer to meet its demands with less effort and time,

through, for example, electronic RFQs or electronic tendering. When there are many suppliers using the

e-procurement network, the buyer is able to gain big cost savings by using these electronic mechanisms to

find desired products. The more participants in the e-procurement system, the more opportunities

the buyer has to find desired products at lower costs. As a result, the marketplace benefit is

represented as an increasing function of the number of participating suppliers, , where g >

0. As a whole, the net benefit that the buyer expects to achieve by implementing an e-

procurement system is then given by:

ng ⋅

)()( nhnginrnnU Buyer −⋅+⋅+⋅= (3)

In summary, our model is set up to examine the e-procurement channel adoption of a single

buyer that purchases its supplies from a set of N suppliers. The buyer initiates and operates the

e-procurement channel, by incurring a system implementation cost which is a linear function of

the number of participating suppliers. A supplier also incurs an aggregated system

implementation cost if it chooses to join the e-procurement network. With the electronic linkage,

the buyer and the supplier may enter a program such as VMI by which the supplier makes an

effort specifically for the buyer. This is a relationship-specific investment that the supplier

makes, and such effort is represented as a direct benefit transfer from the supplier to the buyer.

If a supplier chooses to stay out of the buyer’s e-procurement network, it still will have the

business from the buyer although it is at a disadvantage to the suppliers who join in the e-

procurement network.

We illustrate the various benefits and costs in Figure 1 for buyers and suppliers. The reader

should note that we have chosen to represent the factors related to e-procurement systems

without incorporating market demand for products and their related sales volume and effects

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explicitly in our model. We recognize that the effect of sales volume could be reflected in the

buyer and supplier efficiencies; for example, the higher the volume, the larger the efficiency

benefits. This would permit us to derive implications about the effect of sales volume based on

the obtained efficiencies related to e-procurement adoption decisionmaking. However, through

the modeling approach that we have chosen, we are able to examine some other major aspects of

the complex e-procurement adoption decision processes that we feel are critical to include in a

representative model, while achieving insights about some of the other value tradeoffs for

decisionmaking that appeared important to us.

Figure 1. The Benefits and Costs of E-Procurement Systems

Supplier: • Efficiency: e • Competitive

advantage: f(n,N)⋅a • Implementation

cost: c

Buyer: • Efficiency: r • Marketplace

benefit: g⋅n • Implementation cost:

h(n)=h0+h1⋅n

Supplier decisions: • Join vs. No Join • Whether to make a

relationship–specific investment i

Buyer decisions: • Network size • Extranet vs. e-market

• Supplier makes the buyer relationship-specific investment i;

• The buyer benefits from the supplier’s investment i

ANALYSIS OF THE BUYER’S ADOPTION DECISION

In this section, we analyze the basic model to reveal the factors in the e-procurement

adoption decision making process. In the following analyses, we define the negative externality

ratio f(n, N) in the following format based on its aforementioned characteristics:

1),(

−−

=N

nNNnf . This way the ratio decreases when more suppliers join in the e-procurement

network, reducing the competitive advantage each participant enjoys. And when the first

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supplier joins, the negative externality ratio is f(1, N) = 1, and so the participating supplier

obtains the competitive advantage a. We first derive the maximum net benefits for e-

procurement systems in general, and then examine the differences between extranets and e-

markets. Finally, we analyze the buyer’s subsidy policy in promoting supplier adoption.

Adopting an E-Procurement System

Here, we will examine the benefits of e-procurement systems in a general and

undifferentiated format. The results and insights will be applicable to any e-procurement

channel, including both extranets and e-markets. The scenario we study occurs when the buyer

initiates an e-procurement system by announcing to its suppliers the opportunity to participate in

the network. The suppliers decide whether to join based on their own perceived net benefits.

The buyer recognizes that suppliers will estimate their own net benefits, and accordingly, it

estimates its own net benefits and determines the optimal size of its e-procurement network.

For one supplier to join when there are already n –1 suppliers in the e-procurement system,

its perceived net benefit should be greater than when it does not join: .

Substituting Equations 1 and 2 for and yields:

)1()( −≥ nUnU NoJoinSupplier

JoinSupplier

)(nU JoinSupplier )1( −nU NoJoin

Supplier

aNnfciaNnfe ⋅−−≥−−⋅+ ),1(),( (4)

Further substituting 1

),(−−

=N

nNNnf in Equation 4 we get cN

nNaei −−

+−⋅+≤

1122 . Thus, the

maximum possible relationship-specific investment that a participating supplier will make for the

buyer is:

cN

nNaei −−

+−⋅+=

1122 (5)

Recognizing this condition, the buyer can estimate its own net benefit with n suppliers in the

e-procurement channel:

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cnnhhN

nNanenngrnngnhinrnnU Buyer ⋅−⋅+−−

+−⋅⋅+⋅+⋅+⋅=⋅+−⋅+⋅≤ )(

1122)()( 1 (6)

So, the buyer obtains maximum benefit when it has n* adopting suppliers:

412)(

41)(

41)}({maxarg 1

0

* +++

−−++

−=≡

≤≤

Ncha

Ngera

NnUn BuyerNn

(7)

The second order derivative of Equation 6 with respect to the number of adopters, n, is

14

2

2

−−=

Na

nU Buyer . Considering that and N > 1, the second derivative0>a 02

2

<∂

nU Buyer . This

is a sufficient condition for the optimal supplier network size n* to hold.

Note that the result in Equation 7 is obtained based on the condition for supplier

participation, . Later by Proposition 5, we will explain the case

when this supplier participation condition is not satisfied at the optimal network size n

)1()( ** −≥ nUnU NoJoinSupplier

JoinSupplier

*.

Substituting n* in the buyer net benefit function depicted in Equation 6, we represent the

maximum net benefit for the buyer as:

cnnhhN

nNaegrnnU Buyer ⋅−⋅+−⎥⎦

⎤⎢⎣

⎡−

+−⋅+++⋅= **

10

*** )(

1)122()( (8)

Equation 7 shows that the size of the e-procurement network increases with the variable

efficiency gains and marketplace benefit for the participants, while decreasing with the variable

costs and supplier competitive advantage. When the competitive advantage for joining the e-

procurement system is great, suppliers will find it more beneficial and thus will be willing to

make more relationship-specific investments for the buyer. The result is that the buyer is able to

achieve greater net benefits with fewer participating suppliers. On the other hand, the buyer’s

costs in operating the system as the initiator will increase with the number of participants. Hence

the optimal size of the e-procurement network will be smaller.

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Choosing Between an Extranet and an Electronic Market

We remind the reader that the basic model that we outlined above is intended to represent e-

procurement systems in general. Next, however, we will apply it to discuss the differences

between extranets and e-markets. We will use the superscript XNT to represent extranets, and

EMKT to represent e-markets.

As discussed earlier, extranets and e-markets differ in the market-making capabilities they

offer to participants. E-markets offer electronic tendering, e-RFQs and auctions to reduce the

time and effort that the buyer takes to locate desired suppliers and products. Although some

extranets also take advantage of the Internet to offer these functions, extranet solutions tend to

emphasize information sharing. Their functions for matching the buyer’s demand with available

supplies tend to be limited compared with e-markets. In our model, such differences are

captured by the higher variable marketplace benefit in an e-market than in an extranet, .i.e.,

. Extranets and e-markets also provide different levels of support for sharing

information between the buyer and its suppliers. As a result, the supplier’s competitive

advantage relative to its rivals will be less with an e-market compared to what it can achieve with

an extranet, i.e., .

XNTEMKT gg >

XNTEMKT aa <

In addition to the above benefits, extranets and e-markets also differ in terms of the costs

required for the participating firms to implement and operate an e-procurement system. In the

second section, we showed that a supplier typically will bear a lower system implementation cost

to join an e-market than an extranet, i.e., . Similarly, the variable cost for the buyer

will also be lower with an e-market approach than with an extranet, i.e., .

XNTEMKT cc <

XNTEMKT hh 11 <

We notice that when an additional supplier joins the e-procurement system, the buyer incurs

the variable cost h1 and the supplier incurs cost c. So, we refer to the sum of h1 and c as the

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variable cost of the e-procurement channel, or the variable e-channel cost, and represent it by β.

Similarly, we will refer to the sum of the efficiency gains, r + e, when a supplier joins, as the

variable e-channel efficiency. Following the same logic, we refer to the sum of the variable e-

channel efficiency, er + , and the variable marketplace benefit g as variable e-channel benefit,

representing it by α. Moreover, we define the variable e-channel net benefit as the difference

between the variable e-channel benefit α and the variable e-channel cost β, and represent it by ν

as in the following equation:

)( 1 chger +−++=−= βαν (9)

Considering the above differences, and assuming that the buyer and suppliers achieve the

same efficiency gains with the two approaches, we can examine the optimal e-procurement

channel adoption choices from the buyer’s perspective.

PROPOSITION 1 (THE BUYER’S NON-E-PROCUREMENT ADOPTION PREFERENCE PROPOSITION). When the variable e-channel net benefit is negative and can not be offset by twice of the supplier competitive advantage, i.e., 02 ≤+ aν , the optimal choice for the buyer is to not to adopt e-procurement networks.

Proof. Considering that )( 1 chger +−++=ν , we transform the optimal network size n*

into the following format:

⎟⎠⎞

⎜⎝⎛ ⋅

−+

+⋅−

=+

+⋅−

= aNN

aNN

aNn

112

41

412

41* νν (10)

We notice that 2112≈

−+

NN , so we will use this approximate value in this proof.1

1 There are two reasons that we can use this approximation in the following analysis. First, since we consider the supplier base N as a fixed number, the formula

112

−+

NN is a constant and will not affect our

derivative analysis. Second, we can see that 2112lim =

−+

∞→ NN

N, and also that large buyers tend to transact with

tens or hundreds of suppliers. Considering these two factors, we believe that there will not be any inappropriate biases introduced into our analytical results by approximating

112

−+

NN with the number 2.

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Then, equation 10 can be represented as follows:

( aa

Nn 24

1* +−

= ν ) (11)

When 02 ≤+ aν , Equation 11 tells us that , indicating that the optimal network size is

less than or equal to zero. That is, for the buyer, the best choice is to have no e-procurement

network. ٱ

0* ≤n

Proposition 1 shows that if the variable e-channel net benefit is negative and its value cannot

be offset by twice the value of the supplier’s competitive advantage, then it is to the buyer’s

benefit not to adopt an e-procurement network. However, when e-procurement systems bring

about sufficient efficiency gains, marketplace benefits or supplier competitive advantage, the

buyer will find it beneficial to adopt. Next, we will analyze how the buyer chooses between e-

markets and extranets. The first issue we examine is the difference between an e-market and an

extranet in terms of the optimal network size.

PROPOSITION 2 (THE BUYER’S OPTIMAL E-PROCUREMENT NETWORK SIZE PROPOSITION). When the variable e-channel net benefit is positive, i.e., ν > 0, the optimal e-procurement network size for the buyer will be larger with an e-market than with an extranet.

Proof. Using Equation 7, we obtain the following derivatives:

,0)(4

112

*

<−−++⋅−

−=∂∂ hcger

aN

an since ν > 0 ⇒ 0)( 1 >+−++ hcger ;

04

1*

>−

=∂∂

aN

gn ; 0

41

1

*

<−

−=∂∂

aN

hn ; and 0

41*

<−

−=∂∂

aN

cn .

This indicates that the optimal size of the e-procurement network in terms of the number of

supplier participants n* increases with g, while decreasing with a, h1, and c. Meanwhile,

, , , and . As a result, , XNTEMKT aa < XNTEMKT gg > XNTEMKT hh 11 < XNTEMKT cc < ∗∗ > XNTEMKT nn

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indicating that an e-market will have more participants than an extranet for the buyer to be able

to achieve maximum benefit. ٱ

Proposition 2 shows that, as long as the variable e-channel benefit is great than the variable

e-channel cost, at the optimum there are more suppliers in the e-procurement network with an e-

market than with an extranet. Figure 2 illustrates how the buyer’s net benefit changes with the

number of participating suppliers. With an e-market, when one more supplier joins the network,

the additional system implementation costs are lower, and the competitive advantage that

participating suppliers enjoy over their rivals erodes less. As a result, the buyer is both willing

and able to have more suppliers in its e-market than in an extranet. Moreover, 0*

<∂∂

an

indicates that with an extranet a single supplier obtains a higher competitive advantage a by

joining in the trading network. Thus, the supplier is willing to make a larger relationship-

specific investment i for the buyer. As a result, the buyer is able to gain more benefits from one

single supplier and can maximize its net benefit with fewer suppliers considering that system

implementation costs increase with the number of participating suppliers.

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Figure 2. Analysis of the Buyer’s Net Benefit in Terms of Network Size, UBuyer(n)

n nEMKT*nXNT*

UBuyer(n))(nU EMKT

Buyer)(nU XNTBuyer

But whether the buyer adopts an extranet or an e-market depends on its net benefits. In other

words, the buyer will prefer an e-procurement channel that gives it the greatest opportunity for

gain. As we discussed earlier, extranets and e-markets differ in terms of the buyer’s variable cost

and marketplace benefits, and the supplier competitive advantage and implementation costs.

Hence, it makes sense to examine how the buyer’s net benefit, UBuyer(n*), will change with these

factors. This will permit us to find out when a buyer ought to prefer an e-market to an extranet,

and vice versa. Our analysis leads to the following proposition.

PROPOSITION 3 (THE BUYER’S E-MARKET ADOPTION GENERAL PREFERENCE PROPOSITION). The buyer will prefer an e-market to an extranet when ν≤≤ a0 , i.e., the supplier’s competitive advantage is positive but not greater than the variable e-channel net benefit.

(See Appendix for proof.)

We next illustrate the buyer adoption preferences visually in Figure 3.

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Figure 3. Analyzing the Buyer’s Adoption Preferences

ν

0 ≤ ν < a

0

4

32

0 < a ≤ ν

1

General E-Market Adoption Preference

Non E-Procurement Adoption Preference

0 ≤ -ν/2 < a

0 ≤ a ≤ -ν/2

Contingent Extranet Adoption Preference

a

In the figure, the vertical axis is the supplier’s competitive advantage, a, and the horizontal

axis represents the variable e-channel net benefit ν. In the scenario that proposition 3 depicts,

ν≤≤ a0 indicates that the firms are performing in the scope of Area in Figure 3. The

buyer’s net benefit increases with the variable marketplace benefit g, and decreases with the

supplier’s competitive advantage a and the variable e-channel cost, h1 + c. Meanwhile,

, , , and , and hence the buyer will obtain

a higher net benefit with an e-market than with an extranet. In Figure 3, the region labeled as

Area shows the scenario

XNTEMKT aa < XNTEMKT gg > XNTEMKT hh 11 < XNTEMKT cc <

2/0 ν−≤≤ a , which is a subset of what the Buyer’s Non-E-

Procurement Adoption Proposition (P1) describes. Hence, if firms operate under this condition,

then they will tend to stay with the traditional non-electronic procurement channels.

Although the buyer will certainly prefer an e-market to an extranet as an e-procurement

channel when the supplier competitive advantage is less than the variable e-channel net benefit,

its preference will not be so clear in other cases. When 0≥>νa , labeled as Area in Figure

3, if the buyer adopts the e-market instead of an extranet, its net benefit is reduced by the lower

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supplier competitive advantage while being increased by a higher variable marketplace benefit

and lower channel cost. The same is true when 02≥−>

νa , which falls in Figure 3’s Area .

Therefore, in these cases, the buyer will choose between an e-market and an extranet depending

on the impact of supplier competitive advantage relative to the combined effect of variable

marketplace benefit and channel cost. This result is summarized as follows:

PROPOSITION 4 (THE BUYER’S CONTINGENT EXTRANET ADOPTION PREFERENCE

PROPOSITION). When 0≥>νa or 02≥−>

νa , the buyer will prefer an extranet to an

e-market, if the impact of supplier competitive advantage is bigger than the combined effect of the variable marketplace benefit and the variable e-channel cost.

(See Appendix for this proof.)

Proposition 4 states that when the supplier enjoys a high competitive advantage and this

factor has a big impact on the e-procurement channel benefits, the buyer will tend to prefer an

extranet. Specifically, the first condition, 0≥>νa , says that the supplier competitive

advantage is greater than the variable e-channel net benefit when the latter is positive. The

second condition, 02≥−>

νa , states that the supplier competitive advantage is greater than half

of the variable e-channel net benefit if the latter is negative. When either of these two conditions

is satisfied, the buyer tends to favor an extranet over an e-market if the change in the supplier’s

competitive advantage also has a greater impact on the buyer net benefit than the changes in

marketplace benefit and e-channel cost.

The above analyses show that the buyer’s adoption preference for e-procurement systems is

contingent on relative value and impact of the various benefit and cost factors that the systems

bring about. In short, an e-market is more appealing to a buyer when the supplier’s competitive

advantage is modest compared to the variable e-channel net benefit. But, when the supplier’s

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competitive advantage is significant and also has a big impact on the buyer’s net benefit, an

extranet will turn out to be more beneficial to the buyer. The supplier’s competitive advantage

comes from sharing strategic information and the e-channel benefits are based on the improved

efficiency in searching for desired vendors and supplies. Hence, the Buyer’s E-Market

Adoption General Preference Proposition (P3) and the Buyer’s Contingent Extranet Adoption

Preference Proposition (P4) imply that the buyer will find an e-market more beneficial when the

e-procurement channel offers big cost savings for the transaction processes while the supplier

obtains a relatively small gain from access to the strategic information via the e-procurement

channel. However, if the supplier has a big stake in the strategic information while efficiency

gains is relatively small by using the e-procurement channel, then an extranet turns out to be the

choice.

Buyer’s Subsidy Policy

To understand the buyer’s strategy for promoting e-procurement adoption among suppliers,

we now return to the basic model for the undifferentiated e-procurement system. A supplier

joins an e-procurement system only when it is better off by joining than not joining, as shown by

Equation 4. However, when the supplier has to bear a high cost or its efficiency gain and

competitive benefits are so low that it finds itself worse off by joining the network than not

joining even when it does not make any relationship-specific investment for the buyer, it will

choose to stay out of the buyer’s e-procurement system. As a result, the size of the e-

procurement network will be affected in the manner described in the following proposition:

PROPOSITION 5 (THE SMALLER UNSUBSIDIZED NETWORK PROPOSITION). In the absence of a subsidy, the e-procurement network size will be smaller when

ceaNNhgr −+−+

>−+112

1 than the optimal size from the buyer’s point of view.

(See Appendix for proof.)

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The sum (r + g – h1) is the increase in the buyer’s net benefit and the sum ceaNN

−+⋅−+112

is the increase in a supplier’s net benefit, when the supplier joins the e-procurement network

without making any relationship-specific investment for the buyer. In other words, r + g – h1 is

the marginal net benefit for the buyer, and ceaNN

−+⋅−+112 is the marginal net benefit for the

supplier. The intuition for Proposition 5 is that when the buyer’s marginal net benefit is greater

than the supplier’s marginal net benefit in joining the e-procurement network, then the network

will shrink if the buyer does not subsidize participating suppliers. In this situation, since the

buyer’s net benefit reaches its maximum with a network size of n*, the buyer will get a smaller

net benefit from implementing the e-procurement system with any participation that is less than

this maximum.

In this case, to expand its e-procurement network, the buyer may force the suppliers to join

by stopping doing business with those who refuse to participate in the network. This is referred

to as a mandatory policy, and it indicates that the buyer transacts only with suppliers that are in

its e-procurement network. Some companies may employ such a strategy to promote e-

procurement adoption among suppliers. However, we observe that not all of a firm’s suppliers

typically are participating in its e-procurement network. According to an InformationWeek

(2001) survey, among 500 US companies that are large and innovative users of information

technologies, a company had only 39% of its suppliers joining its electronic supply chain in

average. This means that even powerful buyers may be unable to get all of their suppliers into

their e-procurement networks, and still must do business with those that do not join their e-

procurement networks. This survey tells us that companies are using other strategies than a

mandatory policy to encourage the adoption of e-procurement channels. In this case, companies

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either do nothing or employ a subsidy policy (Neef, 2001). We have shown the case without

subsidy, and next, we will examine the case when the buyer subsidizes the suppliers. In this

study, we have assumed that suppliers are homogeneous and do not act strategically in joining

the buyer’s e-procurement network. In this situation, the buyer’s subsidy policy is described in

the following proposition.

PROPOSITION 6 (THE BUYER-SUBSIDIZED NETWORK SIZE PROPOSITION). Provided

that ceaNNhgr −+−+

>−+112

1 , the buyer will be able to achieve the optimal network

size with a subsidy )1(2

12)(21

1 −+

⋅−−−++≥NNahecgrs per participating supplier.

(See Appendix for proof.)

Proposition 6 states that the buyer can make the e-procurement network reach its optimal size

by subsidizing its suppliers. In order to reach the optimal network size, the buyer has to offer a

subsidy at least as high as )1(2

12)(21

1 −+

⋅−−−++=NNahecgrsL . The minimum subsidy is ,

which is half of the difference between the buyer’s marginal net benefit and the supplier’s

marginal net benefit. If the subsidy is below this threshold, the buyer will not be able to get as

many suppliers to participate in its e-procurement network as in the optimal scenario. With the

minimum subsidy, suppliers will not make any relationship-specific investments. In addition,

the buyer’s maximum possible net benefit, U

Ls

Buyer(ns*), remains the same as the case where no

subsidy is provided because the subsidy offered to the suppliers is paid back to the buyer via

suppliers’ relationship-specific investments i when optimal participation occurs. So, the subsidy

strategy enables the buyer to achieve the optimal network size and net benefit. Proposition 6

also suggests that the buyer can determine the level of subsidy according to how much

relationship-specific investment it expects to obtain from the supplier.

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DISCUSSION

We now consider some of the managerial implications from the analyses of our model, and

discuss the effects that the various factors have on e-procurement adoption practices. These

include the e-procurement network size, the effects of information sharing, how product

characteristics influence channel choices, and the management of e-procurement channel

portfolios. As a whole, our analysis provides guidelines for assessing, selecting and even

designing the e-procurement channels.

Network Size

One important issue related to e-procurement adoption is the size of the trading network and

how that directly affects the net benefits of the initiator and the participants. Our model shows

that the optimal network size for the buyer increases when the variable channel efficiency and

marketplace benefit increase, or the channel cost and supplier competitive advantage decrease.

As a result of these effects, the buyer will want to have more suppliers joining an e-market than

an extranet. Moreover, our model also shows that with either an extranet or an electronic

market, an individual supplier’s relationship-specific investment and competitive advantage are

unambiguously higher when only a few suppliers participate in the electronic connection.

Therefore, a buyer who desires a bigger relationship-specific investment from particular

suppliers will prefer a smaller network.

Information Sharing Effects

In examining the characteristics of e-procurement channels, we find that e-procurement

systems can be deployed to share strategic information and support collaboration between buyers

and suppliers. Better access to such information enhances the supplier’s competitive advantage

(i.e., a high level of a) over its rivals, and in turn, increases the relationship-specific investment

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that the supplier is willing to make for the buyer (i.e., a high level of i). In this case, the buyer

and the supplier maintain a collaborative relationship which is characterized by a high level of

information sharing and coordination. In addition, the supplier competitive advantage derived

from a high level of information sharing tends to have a big impact on the benefits that the buyer

and the supplier can obtain from adopting e-procurement channels. Thus, according to

Proposition 4, the buyer will find an extranet more beneficial than an e-market. In contrast, if the

buyer keeps a transactional relationship with the supplier in a manner that only transactional

information is exchanged, the competitive advantage that the supplier can obtain is low. As a

result, the buyer is more likely to prefer an e-market as described by Proposition 3. Therefore,

management ought to carefully consider the nature of buyer-supplier relationship when choosing

e-procurement channels.

One related industrial practice involves manufacturing processes2. With a make-to-stock

(MTS) process, a buyer manufactures and stocks its products before serving its customers from

end-product inventory, and thus it purchases its supplies in large batches based on sales

forecasts. In contrast, with a make-to-order (MTO) arrangement, a buyer manufactures its

products after a customer order has been received and accepted and, as a result, the purchasing

needs are more uncertain. In this case, the buyer tends to have more coordination with suppliers,

and requires suppliers to be more responsive and flexible so that orders can be delivered with

right quantity at right time. Such requirements are reflected in our model as a high level of

supplier relationship-specific investment i and competitive advantage a attributable to close

coordination, which characterize a collaborative supply chain management relationship.

2 We are grateful to an anonymous reviewer for suggestions on the differences between MTO and MTS, and the different product types.

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Therefore, a buyer is more likely to adopt an extranet approach than an e-market for an MTO

production process than for an MTS production process.

Why Product Characteristics Matter

In addition to buyer-supplier relationships, our analyses also provide insights on how the

characteristics of the product purchased will affect the choice of e-procurement channels.

Generally, there are two types of goods that firms purchase: direct goods bought for primary

activities and indirect goods for support activities (Neef, 2001). In industrial companies, primary

activities are directed at the physical transformation of product inputs and the handling of the

final products that are delivered to customers. The support activities enable the primary

activities (Porter, 1985). This indicates that direct goods are more important strategically than

indirect goods to buyers, and hence the process of procuring direct goods emphasizes factors

such as quality and innovation, more so than prices. Furthermore, buying indirect goods

involves dealing with a large set of vendors with frequent orders typically of small size. Instead,

direct goods are purchased on a more regular basis from a limited group of suppliers with orders

of larger size (van Weele, 2000).

In our model, these differences are reflected by the different levels of marketplace benefits

(g) and the network size (in terms of number of participants n). Specifically, a buyer will prefer

to have a trading network with more participants and obtain greater marketplace benefits for

buying indirect goods than direct goods. Thus, the buyer will be more likely to purchase indirect

goods through an e-market. This helps to explain the large amount of online purchasing for

maintenance, repair and operational (MRO) and office supplies that has been occurring in the

marketplace. These products are used in support activities in the value chain, and so are of low

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strategic importance to the buyer. But via e-markets, a buyer is able to purchase MRO and office

supplies at lower prices and thus obtain cost savings.

Private Exchanges and Industry Consortium-Supported Exchanges

In this article, we differentiate e-procurement systems as extranets and e-markets, and reveal

their respective strengths and weaknesses. But can e-procurement channels be built that combine

the strengths but alleviate the weaknesses of these two types of systems? In fact, private

exchanges can be viewed as one outcome of such efforts. In a private exchange, the buyer

creates a closed electronic marketplace with its selected suppliers. Compared with open e-

markets, a private exchange creates an exclusive community of the buyer and its suppliers, and

enables the buyer to share strategic information with suppliers. Meanwhile, a private exchange

offers more market-making functionality that can enhance the level of marketplace benefits to

the participants. For example, in the healthcare industry, Neoforma (www.neoforma.com), an e-

commerce technology and service provider, and the industry’s supply management organization,

Novation (www.novationco.com), have developed and launched a technological platform that

enable hospitals to set up individual private marketplaces online. Through their online

marketplaces, hospitals will be able to find supply information and identify cost saving

opportunities through the market making functions. In addition, they will also be able to take

advantage of the supply chain management services that streamline the inventory, requisitioning,

ordering and receiving processes.

Another form of e-procurement channel in between extranets and e-markets is buyer-side

industry consortium-supported exchanges. These exchanges offer the similar set of market-

making capabilities as e-markets, and also enable buyers to both transact with its current

suppliers and develop new suppliers. But one important feature that differentiates consortium-

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supported exchanges from pure e-markets is that the former offers a secure platform and

standards for inter-firm information sharing and collaboration which the latter lacks. This way,

industry consortium-supported exchanges have a higher level of competitive advantage for

suppliers than open e-markets, while maintaining the same level of marketplace benefits.

In short, private exchanges and industry consortium-supported exchanges appear to have

been developed to either enhance the market-making capabilities that have been a constraint in

the performance of procurement extranets, or to expand information sharing and coordination

capabilities that have made e-markets less attractive. These practices have shown that e-

procurement channels can be tuned in terms of the variety of business functions they offer and

the organizational structures they use to meet different corporate purchasing needs under

different operating and manufacturing situations.

E-Procurement Channel Portfolio Management

A buyer may favor one particular type of e-procurement channel over another when its

purchasing requirements are different. For a firm that has to fulfill a variety of procurement

needs, the proliferation of e-procurement channels with different technical and structural features

offers a great opportunity for portfolio management of e-procurement channels. For example,

Dow Chemical Company (2003) has set up four e-channels to link its suppliers via the Internet.

Dow purchases non-strategic supplies for daily operation through eMart, its own online

marketplace powered by Ariba, and buys MRO equipment through Trade-Ranger, a third-party

marketplace. Meanwhile, it uses the anonymous e-market of ChemConnect

(www.chemconnect.com) for online auctions and spot transactions, while it is in the midst of

setting up direct ERP system connectivity through industry-consortium supported Elemica

(www.elemica.com) for streamlining supply chain and exchanging information and data.

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With the idea of developing and then managing an e-procurement channel portfolio,

management faces the task of choosing the appropriate channel to satisfy a given procurement

need. Our analysis, as shown in above discussion, has offered a set of guidelines for

management to compare and select e-procurement channels for different product types and/or

purchasing requirements. One important implication that we have derived is about how to think

through what ought to be the appropriate e-procurement channel choice (or mix) to meet varying

purchasing requirements.

CONCLUSION

Our work offers a number of theoretical contributions for academic research on technology

adoption in the e-procurement context, as well as practical implications for senior managers who

wish to make choices between extranets and electronic markets for their purchasing activities.

Theoretical Contributions to Research on E-Procurement

In this paper, we have drawn on prior research in IOS adoption and electronic markets in

several different disciplines to analyze channel selection issues in electronic procurement. We

developed an approach to characterize the variety of interorganizational information systems for

corporate purchasing, and identified two relevant types of e-procurement channels, extranets and

e-markets. They differ in the extent to which the trading network is open to participation and in

the level of information sharing. Accordingly, the benefits and costs that they bring to

participants in their trading networks are different. We analyzed these features and emphasized

the effects of competitive advantage, marketplace benefits and variable costs on e-procurement

channel adoption decisions.

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We then developed a theoretical model that takes into account the above factors to examine

firm decisions in selecting e-procurement approaches. Our analysis points out that a buyer tends

to choose an electronic market when the supplier’s competitive advantage is modest compared

with the efficiency benefits that the e-procurement channel creates. But a buyer will find an

extranet to deliver greater benefits if a supplier derives great competitive value from favorable

access to strategic information via the e-procurement channel and such value has a big impact on

the buyer’s net benefit. In addition, we find that an e-procurement trading network will tend to

be larger with an e-market approach than an extranet since the reduced variable cost and

increased marketplace benefit enable the buyer to set up electronic communications with more

suppliers. These implications do not only reveal conditions under which one e-procurement

channel ought to be adopted versus the other, but also enable us to better understand industry

practices in e-procurement channel adoption.

Although this study focuses on adoption of e-procurement channels, the characteristics that

we have examined are common for IS that support inter-firm transactions and information

exchange. Hence, our analysis also provides insights in understanding other IOS-supported

business processes, such as order management systems initiated by suppliers. One common

feature among these systems is information sharing between business partners via electronic

communication networks, and the value of different types of information to participants in these

trading networks. In the context of e-procurement, we considered the competitive advantage that

suppliers obtain through timely access to such strategic information as inventory level and sales

forecast. In a similar vein, buyers may derive value from shared information about supplier

performance in an IOS network initiated by suppliers, and our analysis would be extended to

understand such effect.

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Limitations and Future Research

Our investigation of e-procurement channel adoption in this article has several limitations.

Our model assumes the suppliers are homogenous in adoption costs and benefits. This way, we

are able to focus on capturing the richness of the relationship dynamics and interdependence

between the buyer and suppliers, controlling for differences among suppliers. In fact, we

recognize that suppliers will differ in their capabilities to build electronic connections with the

buyer and to integrate the external link with internal business processes. Suppliers that have

more resources and can reengineer their internal and interorganizational business processes to

take advantage of the electronic connections with buyers can obtain higher benefits (Lee, Clark

and Tam, 1999). And they may be more willing and ready to join the buyer’s e-procurement

system, and thus become early adopters while others will join only when a subsidy is offered. To

account for these differences among firms, future research should be to relax the assumption of

homogeneous suppliers in our model to permit the analysis of supplier heterogeneity. With

supplier heterogeneity, our analysis can be extended to examine the case of a hybrid solution for

e-procurement adoption and more sophisticated subsidy policies. Another assumption about

suppliers is that they do not act strategically in making adoption decisions. If suppliers are

profit-maximizing and acting strategically, the buyer may not be able to achieve the best

outcome by adopting a subsidy policy. We will need to extend the structure of the model to

relax this assumption if we want to fully address this issue, and this should be a direction for

future research.

Our model is a static model: the adoption costs and benefits are assumed to be time-invariant.

This implies that a decision about e-procurement channel adoption is likely to be the same at

various points of time. Thus, our model is not built to identify the optimal time to adopt a given

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e-procurement channel, even though this is often a critical element for senior management

decisionmaking in technology adoption contexts, where market changes affect the flow of

potential benefits to adopters (Au and Kauffman, 2001; Benaroch and Kauffman, 1999). Future

research should take into account the effect of changing system development costs as

technologies advance over time and some of these other considerations. A two-stage model or a

dynamic model incorporating time-varying parameters may be able to shed light on the question

of optimal adoption timing.

In this study, our analysis focuses on the organizational choice between e-markets and

extranets. We can extend this research to the case when firms switch from one type of e-

procurement system or technology to another type, especially when one is based on open system

solutions while the other is a closed system. In addition, our model is based on linear functions

of the costs and benefits. Another extension for future research is to investigate the results for

non-linear functions to see if our propositions will hold. One possible form, for example, is to

represent the cost as a quadratic function of the number of participating suppliers.

As an exploratory effort, our model has assumed that the benefits and losses are additive,

leaving out the possibility of simple and complex interactions among these individual elements.

We know that, in reality, these factors may influence each other. Moreover, our analysis takes a

buyer’s perspective and so focuses on the buyer’s decision to adopt e-procurement channels, and

does not address the case where a supplier initiates an order management system or a customer

relationship management system. To study how suppliers choose interorganizational

information systems, we need to adjust the model and the analysis to more accurately portray the

viewpoint of a supplier.

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Another possible direction for extending our work is to study the dynamics of e-procurement

technology platform adoption in many-to-many scenarios—multiple buyers and suppliers. This

extension will bring about several changes. If a supplier is connected with more than one buyer,

its total cost for entering the e-procurement network will vary with the number of connected

buyers. In addition, the total relationship-specific investment that the supplier makes for its

buyers will also be a function of the number of connected buyers.

In conclusion, IT has greatly increased the options that firms have for engineering their

business processes to more productively transact with their business partners. Traditional IOSs

facilitate information sharing among firms, and foster closer partnerships between buyers and

suppliers. However, the emerging e-procurement applications and electronic markets of the

Internet provide a new alternative channel for buyers to purchase goods and services from their

suppliers in a new world of technology that few would have thought was possible only ten years

ago. Faced with these options in procurement, senior managers need guidelines to make the

appropriate but hard choices. Our intent is that this article has been to provide insights and

managerial guidance to make some initial steps in that direction. Our exploratory analytical

model provides a necessary basis for managers understanding and comparing different adoption

strategies, and will be a useful starting point for further research. We expect that e-procurement

systems and electronic markets will become an increasingly important corporate purchasing

channel. So it is important for researchers and practitioners to develop a deeper understanding

and a prescriptive framework for evaluating the various e-procurement channel choices.

REFERENCES

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Bakos, J. Y. "A Strategic Analysis of Electronic Marketplaces," MIS Quarterly (15:3), September 1991, pp. 295-310.

Barua, A., Lee, B. “An Economic Analysis of the Introduction of an Electronic Data Interchange System,” Information System Research (8:4), December 1997, pp. 398-422.

Benaroch, M.; and Kauffman, R.J. “A Case for Using Real Options Pricing Analysis to Evaluate Information Technology Project Investments,” Information Systems Research (10:1), March 1999, pp. 70-86.

Chatfield, A. K., and Yetton, P. “Strategic Payoff from EDI As a Function of EDI Embeddedness,” Journal of Management Information Systems (16:4), Spring 2000, pp. 195-224.

Chwelos, P.; Benbasat, I.; and Dexter A.S. “Empirical Test of an EDI Adoption Model,” Information Systems Research (12:3), Septermber 2001, pp. 304-321.

Clark, T. H., and Lee, H. G. “Performance, Interdependence and Coordination in Business-to-Business Electronic Commerce and Supply Chain Management,” Information Technology and Management (1:1), November 1999, pp. 85-105.

Dai, Q. and Kauffman, R.J. “Business Models for Internet Based Procurement Systems and B2B Electronic Markets,” International Journal of Electronic Commerce (6:4), Summer 2002, pp. 41-72.

Dow Chemical Company. “e-Business @ Dow: Connecting with Dow -- Suppliers,” June 2003. Available on the Internet at www.dow.com/ebusiness/what/s.htm.

Garicano, L. and Kaplan, S. N. “The Effects of Business-to-Business E-Commerce on Transaction Costs,” The Journal of Industrial Economics (49:4), December 2001, pp. 463-485.

Gilbert, A. “E-Procurement: Problems Behind the Promise,” InformationWeek (813), November 20, 2000, pp. 49-57.

Giudici, M. “EDI Giving Way Slowly to Net e-Biz.” Electronic Buyers’ News (1237), November 13, 2000, pp. 88-90.

Hamblen, M. “After the Hype,” Computerworld (36:52), December 23, 2002, pp. 33-34.

InformationWeek, “At a Glance: Suppliers in the Electronic Supply Chain,” September 17, 2001. Available on the Internet at www.informationweek.com/story/showArticle.jhtml? articleID=6506684.

Johnston, H.R., and Vitale, M. R. "Creating Competitive Advantage with Interorganizational Information Systems," MIS Quarterly (12:2), June 1988, pp. 153-165.

Karpinski, R. “Wal-Mart Pushes Web EDI,” B to B (87:10), October 14, 2002, pp. 15-16.

Kauffman, R. J. and Mohtadi, H. “Open Versus Proprietary Systems in B2B E-Procurement: A Risk-Adjusted Transactions Cost Perspective,” Working paper, MIS Research Center, Carlson School of Management, University of Minnesota, Minneapolis, MN, 2003.

Kisiel, R. “Suppliers, Big 3 Want to Streamline Data Exchange.” Automotive News (77: 6037), May 12, 2003, p. 8.

Lee, H. G., Clark, T., and Tam, K. Y. “Can EDI Benefit Adopters?” Information Systems Research (10:2), June 1999, pp. 186-195.

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Lee. H. L., So, K. C., and Tang, C. S. “The Value of Information Sharing in a Two-Level Supply Chain,” Management Science (46:5), May 2000, pp. 626-643.

Lee. H. L., and Whang, S. “Information Sharing In a Supply Chain,” International Journal of Technology Management (20:3/4), March/April 2000, pp. 373-387.

Mukhopadhyay, T., Kekre, S., and Kalathur, S. “Business Value of Information Technology: A Study of Electronic Data Interchange,” MIS Quarterly (19:2), June 1995, pp. 137-156.

Neef, D. e-Procurement. Prentice Hall, Inc., Englewood Cliffs, NJ, 2001.

Ovans, A. “E-Procurement at Schlumberger,” Harvard Business Review (78:3), May/June 2000, pp. 21-22.

Porter, M. E. Competitive Advantage. Free Press, New York, NY, 1985.

Riggins, F. J., Kriebel, C. H., and Mukhopadhyay, T. “The Growth of Interorganizational Systems in the Presence of Network Externalities,” Management Science (40:8), August 1994, pp. 984-998.

Riggins, F. J., and Mukhopadhyay, T. "Overcoming Adoption and Implementation Risks of EDI," International Journal of Electronic Commerce (4:1), Summer 1999, 103-115.

Riggins, F. J., and Mukhopadhyay, T. “Interdependent Benefits from Interorganizational Systems: Opportunities for Business Partner Reengineering,” Journal of Management Information Systems (11:2), Fall 1994, pp. 37-57.

Riggins, F. J., and Rhee, H-S. “Toward a Unified View of Electronic Commerce,” Communications of the ACM (41:10), October 1998, pp. 88-95.

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Seidmann, A. and Sundararajan, A. "Building and Sustaining Interorganizational Information Sharing Relationships: The Competitive Impact of Interfacing Supply Chain Operations with Marketing Strategy," J. DeGross and K. Kumar (editors), Proceedings of the 18th International Conference on Information Systems (ICIS-97), Atlanta, GA, December 1997, pp. 205-222.

van Weele, A. J. Purchasing and Supply Chain Management. Thomson Learning, London, UK, 2000.

Wang, E.G. and Seidmann, A. “Electronic Data Interchange: Competitive Externalities and Strategic Implementation Policies,” Management Science (41:3), March 1995, pp. 401-418.

TECHNICAL APPENDIX

Proofs for Propositions 3 and 4. These propositions together describe the buyer’s

preferences in adopting e-procurement channels under various conditions. To identify and verify

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these conditions and the buyer’s adoption preferences, we examine differences between the

buyer’s maximum net benefits with an e-market and an extranet through the Taylor series linear

approximation of the buyer’s maximum net benefit, , represented in Equation 8. )( *nU Buyer

Using Equations 7 and 8, we transform the buyer’s net benefit as follows:

0

2

1

011

01

101

1

1121

81

1212

21

412

41

1212

21

1212

21

1212

21

hNN)chger(

aaN

h)N(

)N(a)gchre(N)chger(a

N

h)N(

)N(a)chgre(n

ng)nhh()N(

)N(a)gchre(n

ng)n(h)N(

)N(a)gchre(n)n(U Buyer

−⎥⎦⎤

⎢⎣⎡

−+

+−−++⋅⋅⋅−

=

−⎥⎦

⎤⎢⎣

⎡−+⋅

+−−++⋅⎥⎦⎤

⎢⎣⎡ +

+−−++−

=

−⎥⎦

⎤⎢⎣

⎡−+⋅

+−−++⋅=

⋅+⋅+−⎥⎦

⎤⎢⎣

⎡−+⋅

+−−++⋅=

⋅+−⎥⎦

⎤⎢⎣

⎡−+⋅

+−−++⋅=

∗∗∗

∗∗∗∗

(A1)

As we made clear previously, extranets and e-markets differ in terms of the supplier’s

competitive advantage and costs, and the buyer’s variable costs and marketplace benefits.

Extending our earlier notation, we use the following to represent these differences:

□ Supplier’s competitive advantage change: XNTEMKT aaa −=∆

□ Supplier’s cost change: XNTEMKT ccc −=∆

□ Buyer’s variable marketplace benefits change: XNTEMKT ggg −=∆

□ Buyer’s variable costs change: XNTEMKT hhh 111 −=∆

□ Buyer’s net benefits change: , where is the

optimal network size with an e-market and is the optimal network size with an

extranet. These two are different due to the differences in the costs and benefits that the

two e-procurement channels bring about for the buyer and its suppliers.

)()( ** XNTXNTBuyer

EMKTEMKTBuyer nUnUU −=∆ *EMKTn

*XNTn

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According to the comparison between extranets and e-markets that we offered in the second

and fifth sections of this paper, we know that ∆a < 0, ∆c < 0, ∆g > 0, and ∆h1 < 0. So ∆U can

be represented by:

cc

)n(Uh

h)n(U

gg

)n(Ua

a)n(U

U*

Buyer*

Buyer*

Buyer*

Buyer ∆⋅∂

∂+∆⋅

∂+∆⋅

∂+∆⋅

∂=∆ 1

1

(A2)

Now, to simplify the presentation, we let 8

1−=

Nb ; ger ++=α ; ch += 1β ;

)( 1 chger +−++=−= βαν . We intend that b is a parameter related to size of the supplier

base, and b > 0. We note that α is the variable e-channel benefit, β is the variable e-channel

cost, and ν is the variable e-channel net benefit. And, In addition, we notice that 2112≈

−+

NN ,

and so we will use this approximate value discussed in Footnote 1 earlier in the paper in the

following analyses. Hence, Equation A1 can be represented as follows:

0

2* 21)( h

aabnU Buyer −⎥⎦

⎤⎢⎣⎡ +⋅⋅⋅= ν (A3)

Next, we examine how the buyer net benefit changes with the cost factors c and h1, variable

marketplace benefit g, and supplier competitive advantage a in terms of the partial derivatives of

Equation A3.

⎥⎦⎤

⎢⎣⎡ −⋅⎥⎦

⎤⎢⎣⎡ +⋅=

−⋅⎥⎦

⎤⎢⎣⎡ +⋅⋅+⎥⎦

⎤⎢⎣⎡ +⋅⋅=

aab

aab

ab

anU Buyer

νν

ννν

222

)(21221)( 2*

(A4)

bab

gnU Buyer 42)( *

+⋅=∂

∂ν (A5)

⎥⎦⎤

⎢⎣⎡ +⋅−=

∂b

ab

hnU Buyer 42)(

1

*

ν (A6)

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⎥⎦⎤

⎢⎣⎡ +⋅−=

∂b

ab

cnU Buyer 42)( *

ν (A7)

Substituting Equations A4-A7 in Equation A2 yields:

)(42222 1 chgbaba

aabU ∆−∆−∆⋅⎥⎦

⎤⎢⎣⎡ +⋅+∆⋅⎥⎦

⎤⎢⎣⎡ −⋅⎥⎦

⎤⎢⎣⎡ +⋅=∆ ννν (A8)

Next, we examine the signs of ∆U in the following two cases.

Case 1. ν≤≤ a0 for Proposition 3 (The Buyer’s E-Market Adoption General Preference

Proposition). This is the scenario that we depicted as Area in Figure 3. With this condition,

ν = r + e + g – (h1 + c) ≥ 0, and 1≥aν . Considering that 0

81>

−=

Nb , we can easily determine

the signs of the partial derivatives shown in Equations A4 through A8: 0≤∂

a)n(U *

Buyer ,

0>∂

g)n(U *

Buyer , 01

<∂

h)n(U *

Buyer , 0<∂

c)n(U *

Buyer .

With ∆a < 0, ∆c < 0, ∆g > 0, and ∆h1 < 0, we can further determine the sign of ∆U

according to Equation A8. In particular, ∆U > 0 implies that .

Therefore, we conclude that, in this case, the buyer will prefer an e-market to an extranet. This

completes the proof for Proposition 3. ٱ

)()( ** XNTXNTBuyer

EMKTEMKTBuyer nUnU >

Case 2. 0≥>νa , or 02≥−>

νa , for Proposition 4 (The Buyer’s Contingent Extranet

Adoption Preference Proposition). This is the scenario that we depicted as Areas and in

Figure 3. In this case, 12 <<−aν , and the signs of the partial derivatives are determined based

on 0>∂

a)n(U *

Buyer , 0>∂

g)n(U *

Buyer , 01

<∂

h)n(U *

Buyer , 0<∂

c)n(U *

Buyer . Since ∆a < 0, ∆c < 0,

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∆g > 0, and ∆h1 < 0, the two items constituting ∆U as shown in Equation A8 have opposite

signs. The first item is negative, with 0<∆⋅∂

∂a

a)n(U *

Buyer ; but the second item is positive, with

0)(421 >∆−∆−∆⋅⎥⎦

⎤⎢⎣⎡ +⋅ chgb

ab ν .

Therefore, if the supplier competitive advantage has a bigger impact on the buyer’s net

benefit than the combined effects of the variable marketplace benefit and channel costs, then

and as a result, the buyer will prefer an extranet to an e-market.

This completes the proof for Proposition 4. ٱ

)()( ** XNTXNTBuyer

EMKTEMKTBuyer nUnU <

Proof for Proposition 5. We next examine the supplier benefits when the e-procurement

network reaches its optimal size for the buyer, based on Equations 1 and 2.

1),()(

***

−−

⋅+−−=−−⋅+=N

nNacieciaNnfenU JoinSupplier

11),1()1(

***

−+−

⋅−=⋅−−=−N

nNaaNnfnU NoJoinSupplier

The difference in the supplier’s benefit between joining and not joining is:

1212

11

1

1

−−+

⋅+−−=−+−

−−−−

+−−=

−−

NnNaice)

NnNa(

NnNacie

)n(U)n(U***

*NoJoinSupplier

*JoinSupplier

(A9)

Substituting Equation 7 in Equation A9 gives the following equation:

ihgrceaNNnUnU NoJoin

SupplierJoinSupplier −−+−⎥⎦

⎤⎢⎣⎡ −+⋅

−+

=−− )(21

112

21)1()( 1

** (A10)

When ecaNNhgr +−⋅−+

>−+112

1 , Equation A10 tells us that

inUnU NoJoinSupplier

JoinSupplier −<−− )1()( ** (A11)

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Since i is the investment cost that the supplier makes for the buyer and i ≥ 0, Equation A11

means that , i.e., the supplier is worse off by joining than not

joining. Therefore, we can conclude that n

)n(U)n(U *NoJoinSupplier

*JoinSupplier 1−<

* suppliers will join the e-procurement network.

In the absence of a subsidy, the maximum possible network size that an e-procurement

system will reach should occur when i = 0, or the supplier does not make any relationship-

specific investment for the buyer. Setting i = 0, with network size n(i=0) under this condition, the

suppliers’ net benefits become: 1

000 −

−⋅+−=−⋅+= =

== NnN

aceca)N,n(fe)n(U )i()i()i(

JoinSupplier ,

and 1

111 0

00 −

+−⋅−=⋅−−=− =

== NnN

aa)N,n(f)n(U )i()i()i(

NoJoinSupplier . The condition for ni suppliers

to join the network is , leading to )n(U)n(U )i(NoJoinSupplier)i(

JoinSupplier 100 −≥ == 2

12)(2

1 ++−

−≤

Ncea

Nni .

This means that the maximum network size is:

212

21

0+

+−−

==N)ce(

aNn*

)i( (A12)

Since ecaNNhgr +−⋅−+

>−+112

1 , we get , which means that, without subsidy,

the maximum network size will be smaller than the optimal size from the buyer’s viewpoint. ٱ

**)i( nn <=0

Proof for Proposition 6. Next, suppose that the buyer’s subsidy to suppliers is given by s.

In this case, the supplier will joins the procurement network if .

Then we find the maximum possible relationship-specific investment from a supplier will be:

)1()( −≥+ nUsnU NoJoinSupplier

JoinSupplier

sN

nNaceis +−

+−⋅+−=

1122 (A13)

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The buyer’s net benefit becomes snnhnginrnnU sBuyer ⋅−−⋅+⋅+⋅= )()( , and the profit

maximizing network size is 4

12)(4

1)}({maxarg 10

* +++−−+

−=≡

≤≤

Nghcera

NnUn BuyerNn

s ,

which is the same as the network size without subsidy, n*.

As discussed earlier, the maximum supplier relationship-specific investment is is represented

in Equation A13. Rearranging Equation A14 and plugging in n* yields another new finding

about the subsidy: )1(2

12)(21

1 −+

⋅−−−+++=NNahecgris s , where is is the supplier’s

relationship-specific investments expected by the buyer. Since is ≥ 0, the buyer’s subsidy will

satisfy the condition )1(2

12)(21

1 −+

⋅−−−++≥NNahecgrs ٱ .

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