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1 Product Proliferation Strategies and Firm Performance in a Complex Product Space ABSTRACT In the Spanish automobile market between 1990 and 2000, significant reductions in tariff and nontariff protection increased the complexity of the product space, through the penetration of new car brands and models. Acknowledging these environmental dynamics, this study details conditions in which across- niche (intra-industry diversification) and within-niche (product versioning) product proliferation exerts a positive impact on firm performance, as well as how key relationships change according to the complexity of the product space. JEL codes: M10, M30 Keywords: Product proliferation, Firm performance, Automotive industry

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Product Proliferation Strategies and Firm Performance in a

Complex Product Space

ABSTRACT

In the Spanish automobile market between 1990 and 2000, significant reductions in tariff and nontariff

protection increased the complexity of the product space, through the penetration of new car brands and

models. Acknowledging these environmental dynamics, this study details conditions in which across-

niche (intra-industry diversification) and within-niche (product versioning) product proliferation exerts a

positive impact on firm performance, as well as how key relationships change according to the

complexity of the product space.

JEL codes: M10, M30

Keywords: Product proliferation, Firm performance, Automotive industry

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1. Introduction

When firms market variations of their products, they may be able to build a competitive

advantage based on differentiation (Kotha 1995; Li and Greenwood 2004). Yet years of empirical

research still have not resolved just how product proliferation affects firm performance: Some scholars

indicate a null or negative relationship (Bayus and Putsis 1999; Kekre and Srinivasan 1990), whereas

others insist on a positive link (Bayus and Agarwal 2007; Sorenson 2000). To resolve the puzzle, recent

research considers two new viewpoints.

First, product proliferation encompasses two types (Dowell 2006; Ramdas 2003; Sorenson 2000):

across-niche and within-niche. Across-niche product proliferation (or intra-industry diversification or

variegation) arises when a firm sells products to different submarket niches simultaneously, whereas

within-niche product proliferation (or product versioning) implies augmenting the quantity of different

variants to sell in one submarket niche.1 Because firms can perform these two strategies independently

(i.e., they might not be correlated), perhaps divergent results in extant research occur when scholars do

not treat them separately.

Second, most prior research is focused on supply-side factors, such as differences in firm

resources (Dyer 1996), vertical integration (Kotabe, Martin, and Domoto 2003; Novak and Stern 2008),

or lean manufacturing (Lieberman and Dhawan 2005). Yet other explanations could be just as important

for explaining variance in the relationship between product proliferation and performance. For example,

Ramdas and Sawhney (2001) show that component sharing drives product proliferation but also

influences performance because it affects how customers evaluate variety. Hui (2004) cites the need to

consider customers who treat different products of the same brand as close substitutes, which would

generate cannibalization effects within the firm’s portfolio. Siggelkow (2003) also suggests that the link

1 A submarket consists of a group of products with homogenous characteristics that satisfy homogenous needs (Klepper and Thompson, 2006; Sutton, 1998).

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between product proliferation and performance depends on how customers add options to their

consideration set; if firms engage in across-niche product proliferation, the likelihood that customers at

least consider their products increases. This line of research thus evokes the importance of assessing the

link between product proliferation strategies and performance through a customer behavior lens.

We consider both views. Assuming the well-established importance of resources and cost

differences, we aim to study other contingencies that cause across- or within-niche product proliferation

to improve performance. By answering this research question, we offer guidelines for adapting product

proliferation strategies to the amount of heterogeneity in product attributes in an industry, a measure also

known as the complexity of the product space. In so doing, we mirror the approach raised by Ron Shaich,

executive CEO of Panera Bread, a leader in the quick-casual restaurant business: “Rather than

succumbing to product proliferation … think about how to best use your menu to drive competitive

advantage” (Nation’s Restaurant News 2010). Complex product spaces have become the norm; for

example, Britain’s Tesco grocery chain stocks 91 different shampoos, 93 varieties of toothpaste, and 115

household cleaners (The Economist 2010). Accordingly, we argue that complex product spaces are

associated with rules consumers use to simplify their decisions, which then affect the relationship

between performance and product proliferation strategies.

To test this argument, we draw on data from the automobile industry. This market offers

significant heterogeneity across firms’ product proliferation strategies, as well as many competing brands,

each of which markets multiple product models with different features. Therefore, each firm competes

with a heterogeneous portfolio of products, often sold to different submarkets. In particular, we focus on

the Spanish automobile market between 1990 and 2000, in which setting we can exploit the presence of

external conditions that perturb product space complexity. Since the end of the 1980s, the Spanish

automobile industry has been subject to a gradual but significant reduction in tariff and non-tariff

protections, due to Spain’s integration into the European Union. The number of car models offered by

non-European foreign producers thus increased fivefold during the 1990s, which implies a notable shift

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that is independent from the actions of the incumbents. To address firm heterogeneity, we control

dynamically for firm size and advertising expenditures, as well as statically for firm and time-fixed

effects.

We find a parabolic shape between performance and across-niche product proliferation. In

contrast, we uncover a positive relationship between performance and within-niche product proliferation

for specialized firms that do not pursue across-niche product proliferation simultaneously. With a

consistency analysis, we offer evidence that the complexity of the product space moderates across-niche

product proliferation, but it does not affect within-niche product proliferation.

Our study thus contributes to research into the performance impact of a firm’s product variety

(Ramdas 2003), particularly because it analyzes across- and within-niche product proliferation in the

same research context. By going beyond product variety implementation (Bayus and Agarwal 2007;

Chong, Ho, and Tang 1998; Putsis and Bayus 2001), this research shows that the shape of the link

between product proliferation strategies and performance depends on more than resources and cost

determinants.2 We also highlight the complexity of industry product space as an important moderator.

Empirically, we complement performance research focused on survival (Dowell 2006; Sorenson 2000) or

accounting (Kekre and Srinivasan 1990) by revealing that two measures of performance—the number of

products sold by firms in the market and this number multiplied by product margins estimated by a

supply–demand structural model (Kadiyali, Vilcassim, and Chintagunta 1998)—convey similar results.

2. Theoretical development

2.1 Product proliferation strategies

Product proliferation is a pivotal strategic choice for a firm (Ramdas 2003; Sorenson 2000), with both

benefits and costs. Greater product proliferation might enable the firm to capture more customers (Fosfuri

2 In this sense, we test the link between performance and product proliferation, while controlling but also being agnostic about the resources that drive product strategies, which we treat as given (Hui 2004; Siggelkow 2003)

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and Giarratana 2007), charge higher prices for customized versions (Bayus and Putsis 1999; Kekre and

Srinivasan 1990), raise entry barriers by saturating product niches (Lancaster 1990), or exploit economies

of scale and scope (Gimeno and Woo 1999). Yet it also can induce backlash, including product

cannibalization (Hui 2004) or cost increases (Anderson 1995; MacDuffie, Sethuraman, and Fisher 1996).

These contrasting forces lead to conflicting empirical results regarding the link between product

proliferation and performance. Kekre and Srinivasan (1990) find that product proliferation does not lead

to higher returns on investments across a sample of large firms in different industries; in the personal

computer industry specifically, Bayus and Putsis (1999) show that the net market share impact of product

proliferation is negative. When they focus on firm survival in the same computer industry, Sorenson

(2000) and Bayus and Agarwal (2007) indicate that firms with higher across-niche product proliferation

initially can exploit their competitive advantage but not in later stages, when specialized firms benefit.

Siggelkow (2003) instead provides evidence from the mutual fund industry that product proliferation

enhances performance.

Recent works have used two tactics to try to resolve this conflict. First, some studies try to

complement a canonical resource and cost approach. Kekre and Srinivasan (1990) and Bayus and Putsis

(1999) recognize that manufacturing trends to cut costs and increase production flexibility are vastly

diffused; recent globalization trends that make markets more international and dynamic also have forced

companies to improve their logistics and manufacturing processes (Chase, Jacobs, and Aquilano 2005).

Thus product proliferation strategy profitability might depend on other mechanisms, such as those

associated with demand or customer behavior (Hui 2004; Ramdas and Sawhney 2001; Siggelkow 2003).

Second, a finer grained classification of product proliferation strategies might be insightful, to

distinguish across-niche from within-niche efforts (Ramdas 2003). In across-niche product proliferation,

the firm simultaneously sells products to different submarkets, whereas with within-niche product

proliferation, it augments the quantity of the different variants that it sells to one submarket. Firms could

6

choose to perform the two product strategies independently; i.e. they might not correlate, Ulrich, Randall,

Fisher, and Reibstein (1998) and Sorenson (2000) investigate within-niche product proliferation, whereas

Chong et al. (1998), Siggelkow (2003), and Draganska and Jain (2005) study only the across-niche

version. Still other works (e.g., Dowell 2006) try to assess their combined effects on firm survival and

find generally positive effects of the two strategies in specific environmental conditions.

We similarly acknowledge the distinction between across- and within-niche product proliferation

to explain their impact on firm profitability. We aim to isolate the direct link between product strategies

and performance, beyond differences in resources and costs. Our approach thus focuses on a firm’s ability

to adapt its product portfolio to the dynamics of overall product space complexity in an industry.

2.2 Product space complexity

As a well-diffused phenomenon (The Economist 2010), a complex product space indicates

heterogeneity in the product attributes marketed in a particular industry (Lenk, DeSarbo, Green, and

Young 1996). The level of complexity of the product space directly influences customers’ buying process.

Search (Beatty and Smith 1987), evaluation (Alba and Hutchinson 1987; Shugan 1980), and opportunity

(Schmalensee 1982) costs confront customers during their purchase decision processes. These costs tend

to be significant in contexts characterized by many available alternatives and product attribute

heterogeneity (Chakavarti and Janiszewski 2003; Johnson and Payne 1985; Keller and Staelin 1987;

Lussier and Olshavsky 1979; Payne 1976). Behavioral theories therefore suggest that people adopt simple

decision rules to minimize their search costs and cognitive effort (Knudsen and Levinthal 2007; Simon

1955).

Consumer behavior literature (Hauser and Wernerfelt 1990) further argues that customers apply

relatively simple rules to screen and map alternatives, especially in complex product spaces (Hauser,

Toubia, Evgeniou, Rene, and Dzyabura 2010; Roberts and Lattin 1991). They simplify their decision

making by using decision rules, anchored on a few or even single product attributes (Bettman 1979;

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Gensch 1987; Johnson and Payne 1985; Shocker, Ben-Akiva, Boccara, and Nedungadi 1991; Wright and

Barbour 1977). Some customers screen for brand names; others eliminate alternatives that do not meet a

predetermined price cut-off (Hauser et al. 2010). In laboratory experiments, Iyengar and Lepper (2000)

show that customers change their decisions when they view different versions of the same product,

because they have altered their decision rules.

Several tangible product characteristics and brands offer common attributes that customers use as

anchors to simplify their purchasing decisions (Gilbride and Alleby 2005; Hauser et al. 2010; Lapersonne,

Laurent, and Le Goff 1995; Terech, Bucklin, and Morrison 2009; Urban, Kim, MacDonald, Hauser, and

Dzyabura 2010). To generalize our theory across industries, instead to referring to a particular product

characteristic, we introduce the concept of a submarket niche, which we define as a collection of products

with homogenous tangible characteristics (Klepper and Thompson 2006; Sutton 1998). Selecting by

submarket niches thus implies that the customer selects according to homogenous product characteristics.

We anticipate two main types of purchasing rules, which define two sets of customers: brand

loyalists and submarket niche loyalists. The first type chooses a brand to which they show fidelity or

attraction (e.g., Toyota, Honda, Ford, GM, VW); the second focuses on a particular range of product

characteristics that determines their preferred submarket niche (e.g., compact car, minivan, sports car).

All else being equal, behavioral and marketing theories suggest that higher levels of complexity in the

product space should increase the number of customers who anchor their decisions on either brands or

submarket niches.

When a firm engages in across-niche product proliferation, it should capture more value,

especially from brand loyalists, because it obtains the positive effects of one-stop shopping. One-stop

shopping advantages emerge when a vast array of products offered under the same umbrella brand

increase customers’ utility. For such brand loyalists, across-niche product proliferation not only

minimizes search costs (i.e., customers just look for the brand to find what they want) but also meets their

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needs better (Sappington and Wernerfelt 1985). These effects then might increase consumption frequency

and willingness to pay.

However, across-niche product proliferation likely weakens the link with submarket loyalists,

who require the brand to be linked closely to the focal submarket for it to gain access to their

consideration set (Anderson and Spellman 1995; Osgood 1948; Posavac, Sanbonmatsu, Cronley, and

Kardes 2001; Posavac, Sanbonmatsu, and Fazio 1997). Because a submarket follower’s choice of a

particular brand depends on how strongly he or she associates that brand with the product submarket

(Punj and Moon 2002; Urban, Hulland, and Weinberg 1993), firms with strong links to a specific

submarket usually gain a superior image and reputation among these consumers. For example, Porsche

likely appears in the consideration set of sports car buyers, because Porsche primarily offers sport cars.

The association of a brand with a submarket niche in turn depends on the concentration of the brand’s

product offer (Meyvis and Janiszewski 2004). Increasing across-niche product proliferation (i.e.,

increasing brand presence across different submarkets) instead disrupts this brand–submarket association

and might lead to a loss of submarket loyalists. The stronger the brand’s initial submarket association, the

more it relies on submarket loyalists, and the greater its loss will be if it undertakes across-niche product

proliferation (Keller and Aaker 1992; Loken and John 1993). We thus predict a positive link between

across-niche product proliferation and performance for firms that are not overly specialized, that is, those

with at least a minimum threshold level of across-niche product proliferation.3 In turn, we expect that

other things being equal, the relationship between across-niche product proliferation and firm

performance displays a parabolic shape.

In contrast, within-niche product proliferation should not affect brand loyalists significantly.

However, this type of proliferation should enhance performance, because firms, by continuously refining

their products within their niche, develop versions that work better and exactly match the needs of

submarket loyalists. In addition to focusing primarily on product characteristics that are salient to a niche,

3 The level of this threshold depends on the importance of brand versus submarket loyalists for a particular market.

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submarket loyalists tend to demand that firms respond to their needs and feedback (Schmalensee 2000;

Von Hippel 1986). According to Shapiro and Varian (1998), within-niche product proliferation signals a

responsive market orientation, because the firm adapts its product offering to the preference heterogeneity

of customers within a particular submarket niche.

However, within-niche product proliferation should not increase performance when it appears

together with greater across-niche product proliferation. That is, more within-niche product proliferation

implies equal or lower across-niche product proliferation if the additional versions appear in the main

submarket niche, but it indicates higher across-niche product proliferation if the new versions appeal to

marginal or new niches. In this latter case, the firm loses its valuable initial brand–submarket association;

the strength of the negative effects of this development depends on the strength of the initial association.

The more specialized the firm is, the more it stands to lose if it combines within- and across-niche product

proliferation.

Thus, all else being equal, we predict a positive relationship between within-niche product

proliferation and performance for firms that are relatively specialized (below a threshold minimum level

of across-niche product proliferation) and that do not perform this strategy jointly with across-niche

product proliferation.

3. Empirical analysis

3.1 Empirical setting

The automobile industry is characterized by many competing brands and multiple product models

that appeal to different market niches. Therefore, this industry is appropriate for studying and

disentangling the effects of product proliferation on performance. Within the industry, our empirical

analysis focuses on the Spanish automobile market between 1990 and 2000, which contained seven major

submarkets: small, compact, intermediate, luxury intermediate, luxury, sport, and minivan. Each model

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can be classified according to its mechanical, design, and equipment characteristics, such that all models

in a submarket have homogenous characteristics, as we detail in Table 1.

------------------------------------

Insert Table 1 about here

-----------------------------------

Furthermore, and specific to the Spanish automobile market, a gradual but significant reduction of tariff

and nontariff protections began after Spain joined the European Union in the late 1980s. In 1987, these

tariffs reached 34.3% for non-European producers, but by 1993, they had fallen to 10%.

The tariff reductions led to a fivefold increase in the number of models offered by non-European

foreign producers in Spain during the 1990s, from 14 models in 1990 to almost 60 in 2000. This

proliferation also sparked the arrival of 6 new brands, such that customers who once searched among 97

car models in 1990 could consider 169 models in 2000. Furthermore, the 169 models represented only

some of the real dynamics of the industry, because we excluded 98 culled models and noted the entry of

180 new ones.

This market thus reveals important heterogeneity over time in terms of the complexity of the

product space, so it offers a good setting for identifying the relationship between product proliferation and

performance. We also must isolate a sample of firms for which this dynamic is exogenous; we select

European incumbents before the tariff reduction, that is, all European automobile brands present in Spain

before 1990. With this approach, we are confident that the relationship between performance and product

proliferation strategies results from environmental conditions over which the sample firms had no control.

Because these firms are multinational corporations that make product proliferation decisions at a global

level, product strategies can be also considered fairly independent of the dynamics of the Spanish market.

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We employ quarterly panel data from 1990–2000 (33 quarters), with car brand as the unit of

analysis.4 These data come from ANFAC (Asociación Nacional de Fabricantes de Automóviles y

Camiones) and Guía del comprador de coches, a Spanish magazine. The data cover all 31 brands sold in

the Spanish automobile market during the sample period, including 19 incumbents with 621 brand/time

observations, as well as 7 brands that entered and 2 that exited the Spanish automobile industry during the

observation period. The gathered information about each brand includes size and advertising

expenditures, as well as the price, sales, submarkets, and characteristics of its offered models. Our sample

firms represent approximately 60% of all brands in the Spanish automobile industry.5

3.3 Dependent Variable

Various performance measures might reflect the impact of product proliferation (e.g., firm

survival, Bayus and Agarwal 2007; Dobrev et al. 2002; Dowell 2006; Fosfuri and Giarratana 2007;

Sorenson 2000; return on investments, Kekre and Srinivasan 1990; market shares, Bayus and Putsis 1999;

Putsis and Bayus 2001; Chong et al. 1997). We thus consider two dependent variables, the first of which

is very intuitive: units sold by the firm in each time period (Cars sold = ∑rЄFit qrt). However, our

theoretical predictions might be explained by variations in demand (q) or margins (p – mc), and the

number of cars sold measure cannot assess different markups, which would constitute a significant

omission if there is nontrivial heterogeneity across products. Thus we use a second dependent variable to

account explicitly for markups (Draganska and Jain 2005; Hui 2004; Siggelkow 2003). In this decision,

we follow Kadiyali, Vilcassim, and Chintagunta (1998), who use a supply–demand structural model to

estimate firm margins. With a system of simultaneous equations, we can derive for each brand the

equilibrium profit-maximizing price, after specifying all demand functions. This dependent variable has

4 We extend the panel with advertising data provided by Infoadex, a Spanish firm that computes expenditures by monitoring communication markets, and data on total firm assets, provided by Bureau van Dijk’s OSIRIS. 5 The sample brands are Citroen, Peugeot, Ford Europe, Opel, Renault, Seat, Volkswagen, Audi, Alfa-Romeo, BMW, Fiat, Jaguar, Lancia, Porsche, Rover, Saab, Skoda, Volvo, and Yugo. The non-incumbent brands are Honda, Mazda, Hyundai, Nissan, Toyota, Mitsubishi, Suzuki, Subaru, KIA, Galloper, Daewoo, and Chrysler.

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the additional advantage of not leaving in the background consumer behavior because it embeds a model

in which consumer utility is directly taken into account and estimated (Hui 2004).

Specifically, we model the demand function of different car models using a random coefficient

logit model (Berry 1994; Berry, Levinsohn, and Pakes 1995; McFadden 1974; Nevo 2000), and we derive

the first-order price condition for each product, assuming optimal multiproduct firm decisions in an

oligopolistic market (i.e., firms make choices to maximize profits). To estimate the equations

simultaneously, we use a generalized method of moments and control for possible heterogeneity in firm

resources, which might lead to different firm cost structures, cost variations according to product

attributes, or potential economies of scale associated with the number of models produced (see the

Appendix). Figure 1 contains the observed prices and estimated margins for the different car models.

------------------------------------

Insert Figure 1 about here

-----------------------------------

Similar structural models appear in previous studies of the automobile market (Berry, Levinsohn,

and Pakes 1999; Goldberg 1995; Verboven 1996). The margins and demand–price elasticities are in line

with prior research, with a mean elasticity of approximately 3 and an inverse relationship between

margins and elasticities (i.e., higher price – cost margins for models with less demand–price elasticity).

Therefore, we define the Performance dependent variable as the product of the margins multiplied by the

number of model units sold at time t for each brand i. Performance reflects the firm’s ability to charge

higher prices and increase its market shares, while also controlling for the underlying cost structure:

Performanceit=∑rЄFit (prt-mcrt) qrt,

where Fit is the set of products offered by firm i at period t, and prt, mcrt, and qrt are the price, marginal

cost, and units sold of product r during period t.

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By comparing the differences or similarities of the regressions when we use Performance versus

Cars sold as dependent variables, we also determine whether our hypotheses mainly reflect a quantity

demand effect (Cars sold) or product margin effects, given the quantity sold (Performance). The basic

statistics for the two dependent variables show a high correlation, which suggests a strong relationship

between market shares and margins but also reflects the aggregation of complex portfolios of products

characterized by different margins.

------------------------------------

Insert Table 2 about here

-----------------------------------

3.4 Variables of theoretical interest: Across- and within-niche product proliferation

To measure across-niche product proliferation (APP), we use the Berry index of dispersion. For

firm i at time t, it is defined as

APPit= 1 - ∑s (Nist/Nit)2,

where Nist is the number of products offered by firm i in niche s at time t. The Berry index varies

theoretically from 1 (maximum APP) to 0 (firm sells in only one niche); it offers a precise, standard

measure of dispersion (see Fosfuri and Giarratana 2007). In turn, to calculate within-niche proliferation

(WPP), we count the average number of products a firm offers in the niches in which it operates, such that

WPP for firm i at time t is

WPPit=∑s Φist (Nist/Nit),

where Φist is a dummy variable equal to 1 if firm i offers some product in niche s at time t, and 0

otherwise. Previous literature calculates WPP as the number of products introduced by the firm in the

most important niche or the total stock of products in the portfolio (Dowell 2006). For our study, we

prefer a variable that captures WPP for all submarkets. However, calculating the total number of products

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would confound the APP and WPP effects, because it would correlate with the number of submarkets in

which the firm operates. Therefore, our measure of WPP instead captures within-niche product

proliferation in each firm submarket, which ensures appropriate exogeneity compared with a proxy for

across-niche product proliferation.

With Figures 2 and 3, we depict the evolution of both variables during the sample period and

highlight important heterogeneity across firms and time. The basic statistics for both variables appear in

Table 2. Their low correlation (0.05) confirms that our variables capture two different product strategies.

--------------------------------------------

Insert Figure 2 and 3 about here

-------------------------------------------

We construct additional variables to determine the conditions in with APP and WPP lead to better

performance. Specifically, because we predict a parabolic effect for APP, we introduce a square term

(APP2). We also identify a twofold condition for a positive relationship between WPP and firm

performance, and to address these conditions empirically, we introduce a new covariate, WPP/APP, that

comprises two factors: (1) a component that captures the initial level of across-niche product proliferation

and empirically should correlate positively with within-niche product proliferation, such that it provides a

specialization, not a diversification, index (i.e., Herfindhal, not Berry, index), and (2) a factor to capture

whether the level of across-niche product proliferation increases with within-niche product proliferation.

Therefore,

WPP/APPit =WPP*× (1 - APPit) × DummyAPPit,

where DummyAPPit equals 1 if the across-niche product proliferation has increased from the previous

period, and 0 otherwise, and WPP* is the rate of growth of the within-niche product proliferation, starting

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from the initial period of the sample.6 Thus, APP and WPP test the direct effects of the hypotheses; APP2

and WPP/APP test the conditions in which the hypotheses can be verified.

3.5 Environmental and control variables

We must rule out every possible effect on performance that can be attributed to competition. We

thus jointly consider three measures of competition: Competition I, Competition II, and Competition III.

Competition I is the weighted average of the Berry indexes calculated using the market shares in the

different niches in which the firm competes. These weights represent the proportion of the firm’s total

revenue earned in each niche. Therefore, it varies by time and firm and captures not only the niches in

which the firm competes but also how important each niche is for the firm and the level of competition in

each niche. The Berry indices are multiplied by 100 for scaling. Competition II is equal to the number of

(European and non-European) firms that specialize in the same niches as a focal firm i. Thus, it measures

the closest competition that firm i faces. Santalò and Becerra (2008) highlight the importance of

introducing this measure when specialized firms compete against more diversified ones. A firm i is

considered specialized in a niche j if the weight of the niche j in the firm’s product portfolio (i.e., number

of models) is greater than the observed weight of the niche j in the industry. That is, firm i is specialized

in niche j at time t if (Nijt/Nit) > (Njt/Nt). Finally, we include the number of car models sold in the market

(Competition III) to proxy for the density of the product offer at any time t. As Table 2 shows, these

variables are not highly correlated and capture different aspects of rivalry.

We also introduce firm- and market-level controls. Quarterly and annual dummies control for

seasonal components and common market shocks, such as variations in market demand or industry

production costs. We control for firm-fixed effects using brand dummies, which capture relevant factors

6 To pose a stricter test, over time the identification of WPP/APP should be proven by the variation of the within-niche product proliferation over time for a firm, not by cross-sectional variation among firms. We therefore multiply WPP/APP by the firm growth rate associated with within-niche product proliferation (time-variant condition). We use the rate of growth of within-niche product proliferation, starting from the initial period of the sample, to capture the dynamic effect generated by the sample initial conditions (King and Tucci 2002; Tripsas 1997).

16

that determine firm performance and explain heterogeneity across firms, such as the vertical integration

level (Dowell 2006; Kotabe et al. 2003; Novak and Stern 2008), firm reputation (Rao 1994), or resource

specificity (Dyer, 1996).

In addition, we include time-specific firm controls. Size equals total assets (obtained from Bureau

van Dijk’s OSIRIS), and Advertising refers to the percentage of the firm’s advertising expenditures,

standardized by the industry total. With this ratio, we capture firm heterogeneity in advertising

investments and isolate the effect of common variations in advertising expenditures driven by industry

trends. We employ ordinary least squares for these assessments.

4. Results

4.1 Main results

Table 2 contains the descriptive statistics and correlation coefficients for all variables in the

regression, as well as the number of models offered by each firm (Dowell 2006), which correlates closely

with both across- and within-niche product proliferation (0.67 and 0.62, respectively). However, as we

noted previously, the correlation between our core covariates WPP and APP is low (0.05). Table 3

includes the estimation results with Performance and Cars sold as the dependent variables. Model 1

represents the baseline model with only the control variables; Models 2–5 progressively add each variable

of interest.

------------------------------------

Insert Table 3 about here

-----------------------------------

We find that across-niche product proliferation has a positive impact on Performance and Cars

sold beyond a certain threshold. For example, in Model 3 (Table 3), for both dependent variables, the

squared term of across-niche product proliferation produces a U-shaped effect on firm performance:

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When firms engage in low levels of across-niche product proliferation, the cost associated with increasing

these levels, because they lose submarket loyalists, dominates the benefit of attracting more brand

loyalists. The threshold level at which greater across-niche product proliferation achieves higher

performance is around 0.5 in Model 3 (both dependent variables). This result is robust in the different

model specifications (Models 4 and 5).

With regard to WPP, we find a positive impact on firm performance under our condition. We

jointly consider the coefficients of WPP and WPP/APP: Higher within-niche product proliferation has a

significant positive impact on firm performance for specialized firms that are not undertaking across-

niche product proliferation too. These results remain strongly consistent across both dependent variables;

therefore, gains or losses in sales influence the profit function without any significant bias.

For the control variables, all estimates are in the expected directions, though their significance

varies across models. The negative coefficient of the competition terms indicates that performance suffers

for firms that operate in more competitive environments, especially if they function in more competitive

niches. Firms with higher advertising expenditures, compared with their competitors, achieve better

performance (significantly in Model 4 and 5). The size coefficient has no straightforward interpretation; it

is not significantly robust across regression models. However, this result might imply the declining

importance of scale in mature oligopolistic industries.

The differences in the R-square values between the baseline and the full model are quite

marginal. This finding occurs because firm fixed effects consistently capture the average slopes and

therefore the main variance in the model.

4.2 Consistency analysis

We undertook a consistency analysis to provide a more rigorous test of our results. Because the

complexity of product space plays an important role in our theoretical mechanisms, we evaluate whether

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the estimates of our covariates change at different levels of product space complexity. Our theoretical

discussion suggests that negative effects of lost associations and positive effects from one-stop shopping

benefits may grow stronger with more complex product spaces.

The complexity of a product space is a function of the heterogeneity and interdependences of its

product characteristics. We follow McEvily and Chakravarthy (2002) and measure complexity as the

dispersion of characteristics, keeping interdependence fixed. A concentration ratio, computed for the set

of characteristics in Table 1, defines each submarket niche. Thus, we build Complexity as a Berry index of

the product characteristics (size, maximum speed, gasoline consumption, and engine displacement)

offered in each period. We identify 10 intervals of equal size for each attribute, starting with the minimal

value and ending with the maximum value observed in the sample. We then calculate the proportion of

models in each interval to compute a Berry index for each attribute. The Complexity variable ultimately

equals the average of these Berry indices for each firm (multiplied by 100 for scaling). We depict the

evolution of Complexity over time in Figure 4.

------------------------------------

Insert Figure 4 about here

-----------------------------------

To test for consistency with our previous results, we also model the interaction effects of

Complexity together with our variables of interest: APP, WPP, APP2, and WPP/APP. If the complexity-

moderated results align with our Table 4 results, the importance of product space complexity as a driver is

supported by these data. In Table 4, we provide corresponding estimation results, including all interaction

terms between the covariates of theoretical interest and Complexity, as well as the complexity measure as

a control. It is worth noting that we maintain all controls from the previous estimation, including the three

competition covariates and time and firm fixed effects.

19

------------------------------------

Insert Table 4 about here

-----------------------------------

For APP, the results are perfectly consistent with our theory for both dependent variables. The

multiplicative effects for APP and APP2 are significant and of the expected sign. We display in Figure 5

the estimated effect of across-niche product proliferation on firm performance for minimum (0) and

maximum (21) levels of Complexity, using Cars sold as the dependent variable

--------------------------------

Insert Figure 5 about here

-----------------------------------

As this figure shows, the effects of APP on Cars sold are greater at higher levels of product space

complexity. Therefore, the forces that attract brand loyalists or deflect submarket loyalists exert

increasing impacts when the complexity of the product space increases. In particular, the Model 6 results

indicate that the lower bound equals 0.6 if Complexity is fixed at the median level, but it drops to 0.4 if

Complexity reaches its maximum.

Figure 5 also reveals that the increasing part of the graph, compared with the decreasing part,

pertains to higher levels of Complexity. It thus seems that product space complexity in this industry

affects brand loyalists (positive effect of APP) more than submarket loyalists (negative effect of APP).

This intuition is consistent with the stylized fact that we find no significant variation of the effect of WPP

for different levels of Complexity. If submarket loyalists are not significantly affected by complexity

levels, WPP should not be affected either. These results could be idiosyncratic to this empirical context;

submarket loyalists in this industry probably were important from the beginning and did not grow

significantly over the course of our study period, as implied by insignificant effect of the mediation with

Complexity.

20

5. Conclusions

To investigate the relationship between product proliferation strategies and firm performance, we

have studied the Spanish automobile market between 1990 and 2000 and exploited the presence of an

external trend (EU trade policy) that significantly increased the complexity of the product space. Our

findings reveal conditions in which across- and within-niche product proliferation exert a positive impact

on firm performance, measured as both units sold and the product of product margins multiplied by units

sold. Accordingly, our study complements a mainstream perspective (Bayus and Agarwal 2003), which

has focused more on the heterogeneity of firm assets and resources to explain the link between product

proliferation and performance. We put more emphasis on the direct link between performance and

product strategies (Hui 2004; Siggelkow 2003), and we propose the complexity of the overall industry

product space as an important moderator.

This analysis thus offers several important management implications. Product proliferation

strategies produce benefits (e.g., differentiation, entry barriers, one-stop shopping), but managers cannot

ignore their costs, which extend beyond production abilities to include a potential loss of the association

between a brand and a niche. The magnitude of these costs depends on the complexity of the product

space, which could change the distribution of customers according to their different decision-making

rules. If customers mainly rely on brands (submarkets), firms that pursue across- (within-) niche product

proliferation enjoy an advantage. In markets characterized by a bimodal distribution of customers, both

polar strategies are optimal—a stylized fact that resonates with population ecology research (Dobrev,

Kim, and Carroll 2002).

The main implication for managers thus is to avoid being stuck in the middle. A firm that aims to

increase its across-niche product proliferation from a specialized position should move quickly and invest

significantly to speed up the process. However, we do not recommend pursuing within-niche product

differentiation together with across-niche proliferation, as might be attempted by firms that want to

21

change their segment. In this case, they should design organizational processes to introduce different

versions of new products while also culling and retiring older models, to keep the level of specialization

constant (Sorenson 2000).

Managers also should recognize that within- and across-niche product proliferation are two very

different strategies. Across-niche implies typical intra-industry diversification; within-niche proliferation

is associated with product versioning (Shapiro and Varian 1998). The choice of approaches is pivotal for

firms that target a particular niche.

Ultimately, our study suggests avenues for further research as well. We find that the parabolic

effect of across-niche product proliferation on firm performance is U-shaped, but it could vary across

markets. Additional research should consider explicitly when U- versus L-shaped forms arise, using data

that include heterogeneity across industries. In particular, the market we study is special in that customers

cannot move freely across every submarket niche, largely because of the importance of price differences.

Moreover, we assert that across-niche product proliferation is better for capturing customers who

rely on brand information, whereas within-niche product proliferation fits better for customers who turn

to submarket information. Brand advertising seemingly should be more effective for firms that follow an

across-niche proliferation strategy, whereas firms with a within-niche product proliferation strategy

apparently should advertise product models and characteristics. Further work should test the different

effects of these types of advertising on performance, given a particular product strategy.

22

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27

APPENDIX A: PRICE – COST MARGIN ESTIMATES

We estimate a supply–demand structural model to obtain price – cost margins. We specify the

customer purchase decision (demand function of products) and the first-order condition of price for a firm

maximization profit problems. We employ monthly panel data, from January 1990 to December 2000

(132 months), with car model as the unit of analysis. Data come from ANFAC (Asociación Nacional de

Fabricantes de Automóviles y Camiones), the Guía del comprador de coches magazine, and Infoadex.

Our total sample size is 16,362 model/month observations.

To obtain the demand equation, we consider a market with I consumers and J different products.

Each customer i obtains utility at period t: Uijt=∑k βkXjk- αi pjt+ ξit + εijt, where the parameters βk are the

average tastes for observed product characteristic Xjkt. Unobserved product characteristics are captured by

a generic variable ξit. Utility also depends on customer-specific characteristics related to the effect of the

product price on a consumer's utility. The price of the product pjt has a customer-specific effect αi.

Following Berry et al. (1995), we assume this effect derives from differences in customer income yi, so

that αi = α/yi. If income is log-normally distributed with mean myt and variance σy², then αi = α exp(-myt +

σyviy), where viy is normally distributed with a mean of 0 and variance of 1. Finally, εijt captures customer

i's idiosyncratic taste for product j at time t. This stochastic term is drawn from a Type-I extreme value

distribution with mean 0, independently and identically distributed across products, consumers, and time.

The set of products of products includes an outside option (denoted as good 0) that corresponds to no

purchasing behavior. This utility can be written as Ui0t = σ0vi0 + εi0t, where σ₀ is the average taste for the

outside option, and vi0 is the unobserved customer taste for the outside good, normally distributed with

mean 0 and variance 1. The random variable εi0t follows the same distribution as εijt.

The probability that product j maximizes customer utility, or purchase probability, in period t among all

the products offered in the market (nєC) sjt then can be obtained as

,

where the predicted market share of product j at time t derives from the aggregation over the distribution

of consumers' characteristics, f(v) = f(vi0,viy).

On the supply side, we consider multiproduct firms that choose, every period, the price for each of their

products. These firms behave as Bertrand competitors. The optimal price decision of firm f for product j

arises from the first-order condition of a maximization profit problem that can be written as

sjt + ∑rЄFft (prt – mcrt) (∂srt/ ∂pjt) = 0, where Fft is the set of products offered by the firm f at period

t, and mcrt is the marginal cost of product r at period t. The marginal cost is specified using a hedonic

approach (cost as a function of a set of product attributes; Rosen 1974). As is common in prior literature

(e.g., Berry et al. 1995), we approximate the marginal cost using the log of product attributes,

decomposed into a subset of observed wjt and an unobserved component ζjt To capture potential

economies of scale, the number of products offered by firm f at period t, Nft, is included. Then the

marginal cost of product j is ln(mcjt) = ln(wjt)η + γln(Nft) + ζjt, where η is a vector of observed product

attributes parameters, and γ are the parameters to be estimated. This equilibrium relationship produces a

system of Jt equations that must be satisfied for all Jt products. The price equation is a standard approach

in previous econometric analyses of the automobile market (Berry et al., 1995; Petrin, 2002). Thus, the

model consists of two equations, demand and price, estimated simultaneously using the generalized

28

method of moments. To compute the objective function, the unobservable components are solved

following the technique proposed by Berry et al. (1995). As explanatory variables that approximate the

utility function and marginal cost, we employ product attributes: size (m2), auto cubic capacity per kg

(cm3/kg), gas mileage (kms covered at a constant speed of 90 kph with a liter of gasoline), maximum

speed, and weight (Kgm). For the demand function, we also include advertising expenditures as an

endogenous variable. The time-based control variables capture common variation over time, and brand

controls capture heterogeneity across firms. Several sets of instruments were tested to check for

independence and relevance. The instruments in the reported estimate are the twelfth lags of the price in

differences, the number of models and new models, characteristics of the product, products produced by

the same multiproduct firm, and products produced by rival firms. Other combinations of instruments do

not lead to significant changes in the results. The results appear in Table A1.

Table A1: Estimated Parameters for the Demand and Supply Model

Demand-Side Parameters: Effect on Customer Utility

Means (β) Constant -8.358*** (0.165) CC/W 0.172* (0.098) Max.Speed 1.430*** (0.049) Km/l 0.245*** (0.024) Size 3.567*** (0.036) Advertising 1.258*** (0.012) Term on Price (α) -57.49*** (6.912) Std. Dev of Outside Good (σ₀) 2.854*** (0.385) Firm Effects Yes Seasonal Effects yes Cost-Side Parameters: Effect on (ln) Marginal Cost

Attributes (η) Constant 4.091*** (0.513) ln(CC/W) 0.587*** (0.026) ln(Max.Speed) 0.857*** (0.101) ln(Km/l) 0.200*** (0.055) ln(Size) 0.082* (0.051) ln(Weight) 1.022*** (0.015) ln(Number of models) -0.033*** (0.001) Trend -0.003*** (0.001) Firm Effects Yes Seasonal Effects yes

Notes: The instruments are those proposed by Berry et al. (1999), and differences of prices with respect to their (indiv) time mean lagged one year. The standard errors (reported in parentheses) are robust to heteroskedasticity and serial correlation. Significant at: *** 0.01 level. ** 0.05 level. * 0.1 level. .

29

Table 1: Means and Standard Deviations of Main Attributes for Spanish Automobile Segments

Small Compact Intermediate Lux-Interm Luxury Sport Minivan

No. of Models 45 48 28 42 40 24 30

Cars Sold 968.6 1004.3 728.2 518 112.9 97.1 140.6

-1307.1 -1416.8 -1252.8 -600.3 -109.4 -114.4 -183.3

Price (€) 7285 11307.7 13752.3 17552.7 27746.4 25681.3 15644.8

-1571.1 -2280.2 -3227.4 -4284.6 -11433 -12619.6 -4997

Horsepower 95.8 97.1 105.6 126.4 165.9 167 118.6

-14.6 -19.4 -17 -20.8 -42.1 -57.2 -28

Size (m²) 5.8 7 7.5 7.7 8.5 7.5 7.8

-0.5 -0.3 -0.3 -0.3 -0.4 -0.6 -1

Gas (l/km) 5.1 5.7 5.9 6.4 7.1 6.7 7.3

-0.5 -0.7 -0.4 -0.6 -0.8 -0.9 -1.2

Max.Speed 153.3 180.8 185.2 199 214.2 215.9 174.7

(Km/h) -11.7 -11.4 -11.4 -11.3 -16 -19.6 -11.3

30

Table 2: Descriptive Statistics and Correlation Matrix

Mean SD Min Max (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13)

(1) Performance 71.9 73.8 0.01 353.9 1

(2) Cars sold 15.8 17.9 0.01 81 0.96 1

(3) No. Firm Models 4.82 2.61 1 12 0.46 0.36 1

(4) APP 0.56 0.27 0 0.86 0.58 0.55 0.67 1

(5) WPP 1.47 0.73 1 4 -0.06 -0.17 0.62 0.05 1

(6) APP² 0.39 0.22 0 0.73 0.65 0.63 0.63 0.97 -0.1 1

(7) WPP/APP 0.003 0.05 -0.3 0.42 -0.04 -0.07 0.05 0.002 0.12 -0.02 1

(8) Complexity 77.7 0.80 76.3 79.1 0.23 0.14 0.10 0.09 -0.01 0.08 0.08 1

(9) Competition I 85 3.7 65.2 90.4 0.11 0.06 0.22 0.23 0.11 0.22 0.06 -0.40

(10) Competition II 17.91 8.13 3 39 0.27 0.27 0.38 0.70 -0.05 0.70 -0.06 0.17 0.09 1

(11) Competition III 124 20 90 160 0.25 0.13 0.21 0.14 0.04 0.14 0.10 0.64 0.11 0.09 1

(12) Size ($b) 65.9 76.5 27.1 303.1 0.29 0.3 0.13 -0.11 0.28 0.18 -0.05 0.09 0.17 -0.04 0.17 1

(13) AdvRatio 5.1 5.2 0 22.7 0.72 0.78 0.26 0.51 -0.16 0.56 -0.07 0.01 0.02 0.30 0.02 0.13 1

Notes: Performance in 10 million (1995) Euros and cars sold in thousands of units.

31

Table 3: Ordinary Least Squares Regression

Firm Performance as Dependent Variable Cars Sold as Dependent Variable

Model 1 Model 2 Model 3 Model 4 Model 5 Model 1 Model 2 Model 3 Model 4 Model 5

APP -1.771 -23.02*** -23.34*** -23.78*** -5.225 -30.36*** -31.11*** -31.78***

(1.634) (3.564) (3.671) (3.629) (3.184) (6.924) (7.050) (7.077)

APP² 24.75*** 26.01*** 26.48*** 29.28*** 32.18*** 32.89***

(3.725) (3.908) (3.870) (7.658) (7.846) (7.877)

WPP 0.835** 1.066*** 1.929*** 2.280***

(0.336) (0.347) (0.690) (0.709)

WPP/APP -4.151** -6.285*

(1.892) (3.725)

Competition I -0.156*** -0.176*** -0.217*** -0.220*** -0.221*** -0.349*** -0.409*** -0.458*** -0.465*** -0.467***

(0.047) (0.051) (0.050) (0.050) (0.050) (0.091) (0.103) (0.103) (0.104) (0.103)

Competition II -0.013 0.001 -0.034 -0.029 -0.031 -0.023 0.018 -0.023 -0.011 -0.013

(0.024) (0.028) (0.028) (0.028) (0.028) (0.052) (0.062) (0.064) (0.063) (0.063)

Competition III 0.060 0.064 0.065 0.059 0.061 0.228 0.240 0.242 0.227 0.229

(0.065) (0.066) (0.065) (0.065) (0.065) (0.157) (0.159) (0.159) (0.158) (0.158)

Advertising Ratio 0.046 0.048 0.075* 0.085* 0.084* 0.027 0.033 0.065 0.087 0.086

(0.047) (0.047) (0.045) (0.045) (0.045) (0.103) (0.103) (0.103) (0.103) (0.103)

Size 0.005 0.006 -0.003 -0.004 -0.005 -0.011 -0.007 -0.018 -0.021 -0.022

(0.006) (0.006) (0.006) (0.006) (0.007) (0.013) (0.013) (0.014) (0.014) (0.014)

Firm Effects yes yes yes yes yes yes yes yes yes yes

Year Effects yes yes yes yes yes yes yes yes yes yes

Seasonal Effects yes yes yes yes yes yes yes yes yes yes

Observations 621 621 621 621 621 621 621 621 621 621

R² 0.953 0.954 0.957 0.957 0.957 0.961 0.961 0.962 0.963 0.963

Notes: Heteroskedastic consistent standard errors are in parentheses. Significant at: *** 0.01 level. ** 0.05 level. * 0.1 level.

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Table 4: Ordinary Least Squares Regression with Complexity as a Moderator

Firm Performance as Dependent Variable Cars Sold as Dependent Variable

Model 6 Model 7 Model 8 Model 6 Model 7 Model 8

APP 618.1*** 530.2*** 611.4*** 1,123*** 1,275*** 1,120*** (133.6) (121.6) (135.0) (272.7) (254.2) (274.3) APP² -1,122*** -1,018*** -1,114*** -2,059*** -2,238*** -2,055*** (173.4) (162.9) (175.1) (357.0) (342.7) (358.9) WPP -14.40 0.752** -15.42 33.19 1.679** 32.68 (12.48) (0.337) (12.34) (23.78) (0.680) (23.69) WPP/APP -2.328 128.7 144.0 -1.696 100.3 70.96 (1.640) (128.7) (128.3) (3.280) (270.6) (267.7) APP_Complexity -8.192*** -7.066*** -8.106*** -14.75*** -16.70*** -14.71*** (1.718) (1.565) (1.736) (3.509) (3.277) (3.530) APP²_Complexity 14.76*** 13.42*** 14.65*** 26.91*** 29.21*** 26.86*** (2.235) (2.101) (2.257) (4.602) (4.424) (4.627) WPP_Complexity 0.196 0.209 -0.407 -0.401 (0.162) (0.160) (0.308) (0.307) WPP/APP_Complexity -1.678 -1.876 -1.312 -0.932 (1.655) (1.651) (3.473) (3.435) Competition I -0.152*** -0.149*** -0.151*** -0.326*** -0.329*** -0.325*** (0.046) (0.046) (0.046) (0.096) (0.096) (0.096) Competition II -0.062** -0.061** -0.061** -0.074 -0.075 -0.074 (0.026) (0.026) (0.026) (0.061) (0.061) (0.061) Competition III 0.061 0.061 0.061 0.235 0.237 0.236 (0.069) (0.069) (0.069) (0.175) (0.175) (0.175) Advertising Ratio 0.128*** 0.130*** 0.127*** 0.185* 0.179* 0.185* (0.041) (0.041) (0.041) (0.097) (0.096) (0.097) Size -0.015** -0.013** -0.015** -0.036*** -0.039*** -0.036*** (0.006) (0.006) (0.006) (0.012) (0.013) (0.014) Complexity -1.622*** -1.427*** -1.640*** -2.017* -2.434** -2.026* (0.520) (0.500) (0.521) (1.213) (1.181) (1.214)

Observations 621 621 621 621 621 621 R2 0.963 0.963 0.963 0.967 0.967 0.967

Notes: Heteroskedastic consistent standard errors in parentheses. Significant at: *** 0.01 level. ** 0.05 level. * 0.1 level.

33

Figure 1: Markup Estimates

Notes: The estimates use the parameters reported in Table A1 of the Appendix. They correspond to

the average markups of car models within the percentile of the distribution of the observed prices

34

Figure 2: Evolution of the Across-Niche Product Proliferation (APP) by Year

Figure 3: Evolution of the Within-Niche Product Proliferation (WPP) by Year

35

Figure 4: Evolution of Complexity by Year

Figure 5: Effects of Across-Niche Product Proliferation (APP) on Performance

Notes: This simulation uses the regression results of Table 4, Model 8.