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    Applied Economics, 2008, 40, 773791

    Government restrictions and

    the demand for casino and

    parimutuel wagering

    Richard Thalheimer

    Thalheimer Research Associates, Lexington, KY 40507, USA

    E-mail: [email protected]

    Growth in casino wagering in the United States from the mid-1980s

    forward has been extraordinary. Over the same period, however,

    parimutuel wagering has declined. Concern for this decline has prompteda number of states to allow parimutuel racetracks to offer casino-type

    gaming devices at their facilities. Such operations are commonly referred to

    as racinos. If the gaming devices at a racino are under the auspices of a

    state lottery, they are referred to as video lottery terminals (VLTs).

    Separate parimutuel and VLT wagering demand models were estimated for

    a racino facility. A number of restrictions were imposed on the VLTs at

    the beginning of the study period including: number of VLTs, type of

    game and machine, maximum bet per play and VLT location. The effect

    of these restrictions on VLT and parimutuel handles was a major focus of

    this article. Also of importance was an examination of the relationship

    between the VLT and parimutuel products. Relaxation of government

    restrictions on the VLTs was found to have resulted in a large increase in

    VLT wagering. On the other hand, parimutuel wagering was found todecrease with the relaxation of restrictions on the VLTs. The presence

    and growth of the VLT product was found to decrease parimutuel handle.

    The presence and growth of the parimutuel product was found to increase

    VLT handle.

    I. Introduction

    The casino gaming and parimutuel wagering

    industries have exhibited markedly different growth

    rates over the past several decades. The growth

    of casino gaming in the United States from the

    mid-1980s forward has been extraordinary.

    To illustrate, consider that over the two-decade

    period, 1982 to 2002, casino-and-related wagering1

    increased 636%. Over that same period,

    parimutuel wagering increased only 25%. Real

    growth in casino-and-related wagering was 301%

    while parimutuel wagering declined by 32%

    (Christiansen, 1989; Christiansen Capital Advisors,LLC, 2004).

    The increase in casino wagering has occurred

    largely due to the introduction of new gaming

    venues and locations augmenting the previously

    existing land-based casino gaming venues of Nevada

    and Atlantic City, New Jersey. The new gaming

    1 Includes land-based casino gaming, riverboat casino gaming, Indian casino gaming, legal bookmaking, card rooms andcharitable gaming.

    Applied Economics ISSN 00036846 print/ISSN 14664283 online 2008 Taylor & Francis 773

    http://www.tandf.co.uk/journals

    DOI: 10.1080/00036840600749672

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    venues include riverboats, land-based casinos, Indian

    casinos, and slot machines or card rooms at

    parimutuel racetracks. Reasons for the decline in

    parimutuel horse race wagering are well-known and

    include increased competition from casino gaming

    (Thalheimer and Ali, 1995a; Ali and Thalheimer,

    2002) and state lotteries (Simmons and Sharp, 1987;

    Vasche, 1990; Thalheimer and Ali, 1992, 1995b,1995c; Ali and Thalheimer, 1997). Not only do

    growth rates between casino gaming and parimutuel

    wagering vary greatly, but there are marked differ-

    ences in the size of each of these gaming industry

    sectors. For example, in 2002 casino-and-related

    handle was $812.2 billion and parimutuel handle

    was $17.9 billion (Christiansen Capital Advisors,

    LLC, 2004).

    Concern for the decline in handle and revenues for

    the parimutuel racing industry has prompted a

    number of states to allow parimutuel racetracks to

    install casino-type gaming devices at their facilities.

    Parimutuel racetracks that are permitted by state

    statute to offer such gaming devices are commonly

    referred to as racinos. In some states these gaming

    devices are part of the state lottery and are placed

    under the lotterys regulatory authority. In those

    instances, the gaming devices are referred to as video

    lottery terminals (VLTs). In other states where

    electronic gaming devices are permitted at parimutuel

    wagering facilities, the privately owned devices are

    placed under the regulatory authority of a state

    racing or gaming commission and are referred to as

    electronic gaming devices (EGDs) or slot machines.

    In either case VLTs or EGDs are equivalentcasino-type gaming devices, differing only in regula-

    tory accountability but not in substance. In almost all

    instances where racino gaming is permitted in a state,

    a percent of the gaming revenue is statutorily

    allocated to purses for owners of horses (greyhounds)

    racing at those racetracks in an attempt to slow down

    or reverse the decline in the racing industry due

    to competition from other gaming venues.

    The first racino in the United States was

    Mountaineer Park, a small thoroughbred racetrack

    in northern West Virginia. On 9 June 1990 a limited

    number of video gaming devices was installed at

    Mountaineer Park racetrack under provisions of a

    nonstatutory pilot project involving the West Virginia

    Lottery and the racetrack. Under terms of the

    agreement, Mountaineer Park, Inc. acted as agent

    for the Lottery. Following this initial experiment,

    full-scale, racino gaming authorized by state statute

    was permitted in the states of Louisiana (2002),2

    Rhode Island (1992), West Virginia (1994),3Delaware (1995), Iowa (1995), New Mexico (1998)

    and New York (2002).4 Gaming devices at racetracks

    in West Virginia, Rhode Island, Delaware and

    New York are under the auspices of the state lottery

    while racinos in the remaining states are regulated by

    state gaming commissions.5

    To illustrate the importance of VLT gaming to

    total state lottery revenue consider that in fiscal year

    2002 total West Virginia lottery revenues were $728.4

    million. Racetrack video lottery revenues generated

    by all four West Virginia racinos accounted for

    $596.0 million or 81.8% of that total (West Virginia

    Lottery, 2003).

    In this study the demand for VLT and on-track

    parimutuel wagering at a racino location,

    Mountaineer Park Racetrack and Resort

    (Mountaineer Park), is determined. In March 1994,

    The West Virginia Video Lottery Act was passed

    giving statutory authority to the West Virginia

    Lottery to conduct VLT gaming at all four

    (two thoroughbred and two greyhound) of the West

    Virginia parimutuel racetracks subject to local

    referendum. Following passage of the required local

    referendum approving the use of VLTs at parimutuel

    racetracks, Mountaineer Park on 2 September 1994ended its pilot project program which had been

    judged to be a success. In this study, the estimation

    period is from 1994 to 2002, a period which included

    both pre-pilot project and post-pilot project VLT

    gaming.

    Under provisions of the West Virginia Lottery Act,

    a number of restrictions were imposed on the VLTs.

    These included the number of VLTs, the type of

    game and machine, the maximum bet per play and

    VLT location. The effect of these government

    restrictions on VLT and parimutuel handles is a

    major focus of this article. Also of importance is an

    2 Limited stakes poker machine gaming devices were permitted at racetracks and other locations such as truck stops,restaurants and lounges in 1992. Legislation resulting in casino style slot machines, restricted to racetracks, resulted infull-scale racinos beginning with Delta Downs racetrack in 2002.3 Video lottery terminal gaming was offered as permitted by state statute in March 1994, and after local referendum beginningin September 1994. At that time, three of the four West Virginia parimutuel racetracks, Mountaineer Park, Wheeling Downsand Tri-State, became racinos. Charles Town installed VLTs in September 1997 after local referendum.4 Although, New York passed enabling racino legislation in 2002, racinos did not come on-line in that state until 2004.5 In 2004, racinos were authorized but not yet implemented in the states of Maine, Oklahoma and Pennsylvania. The gamingdevices were not under the state lottery in any of these states.

    774 R. Thalheimer

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    examination of the relationship between the VLT and

    parimutuel products.

    The plan of this study is as follows. Section II

    reviews the existing empirical literature on the

    demand for racino gaming. Section III develops

    two econometric models of the demand for

    racino gaming, one for VLT wagering and one

    for parimutuel wagering. Section IV reports theestimated model and presents empirical results on

    the factors affecting the demand for racino wagering.

    In addition to reporting results for traditional

    demand variables, the effects of government

    restrictions over the estimation period are reported.

    Section V summarizes the findings and draws further

    conclusions.

    II. Previous Studies

    Prior econometric models of the determinants of thedemand for parimutuel horse race wagering include

    those of Gruen (1976), Coate and Ross (1974), Suits

    (1979), Morgan and Vasche (1979, 1982), Simmons

    and Sharp (1987), DeGenarro (1989), Church and

    Bohara (1992), Thalheimer and Ali (1992, 1995a,

    1995b, 1995c) and Ali and Thalheimer (1997, 2002).

    Unlike studies of the demand for parimutuel

    wagering, there have been few econometric studies

    of the demand for casino gaming. Cargill and

    Eadington (1978) developed a quarterly forecasting

    model of casino win (revenue). Nichols (1998b) used

    a BoxJenkins time series intervention model to

    investigate the effect of deregulation of gaming

    floor space on slot machine and total win at the

    Atlantic City, New Jersey casinos. The relaxing of

    floor space restrictions was found to have a

    significant positive effect on win. Nichols (1998a)

    developed regression models for win, win per

    admission and admissions for riverboats in Iowa.

    Deregulation was found to have a significant positive

    effect on casino win at Iowa riverboats. Hunsaker

    (2001) developed separate models of casino win in

    Atlantic City, New Jersey and the Las Vegas, Nevada

    Strip and their relationship to riverboat win in other

    states. An excellent review of various economic issuesaffecting the casino gaming industry can be found in

    Eadington (1999). None of these models focused on

    the economic behaviour of customers with regard to

    wagering demand, rather they were reduced form

    equations designed to either forecast or assess the

    impacts of various factors such as government

    regulations on gaming revenue (win).

    While previous studies examined casino win or

    revenue, the only study of the demand for casino

    wagering was that of Thalheimer and Ali (2003).

    The subjects of the analysis were all riverboats and

    racinos in the Midwestern states of Illinois, Iowa and

    Missouri. Specifically, an econometric model was

    developed relating the demand for slot machine

    wagering to its determinants. One important finding

    of that study was that government restrictions on

    bet size/total wager, and restrictions on customeraccess resulted in significant reductions in slot

    machine handle.

    Only one previous study examined the demands for

    parimutuel and VLT (slot machine) wagering at a

    racino location (Thalheimer, 1998). In that study,

    separate econometric demand models were specified

    for VLT gaming and on-track parimutuel horse race

    wagering. The subject of the analysis was

    Mountaineer Park. The period of analysis was daily

    from 19891991 during which a limited number

    of VLTs were placed at the racetrack as a pilot

    project under the auspices of the West Virginia State

    Lottery. It was found that the introduction of VLTgaming at a racetrack caused a significant decline

    in on-track parimutuel wagering. However, VLT

    revenue was found to be sufficient to offset the

    decline in on-track parimutuel revenue.

    III. Data Description and Model Specification

    The Mountaineer Park Racetrack and Resort racino

    in West Virginia is located near the Ohio and

    Pennsylvania borders. The market area for

    Mountaineer Park is defined as including those

    potential customers who reside in counties lying

    within a 100-mile radius of the racino. This market

    area definition was used in an earlier study of the

    demand for casino gaming (Thalheimer and Ali,

    2003). Market area population averaged 8.47 million

    over the first 12 months of the study period, falling

    slightly to 8.39 million in 2002. In 2002, the market

    area population was distributed as follows: 4.72

    million in Ohio, 3.23 million in Pennsylvania and

    0.44 million in West Virginia.

    During the study period Mountaineer Park

    included a hotel, Mountaineer Lodge, with 101rooms and a restaurant, located at a short distance

    from the racetrack. In addition to Mountaineer

    Lodge, a new hotel was opened near the end of the

    study period in 2002. Video lottery gaming and

    wagering on the simulcasts of races from off-site

    racetracks were available both at the racetrack and

    lodge.

    In the previous study for which Mountaineer Park

    was also the subject of analysis (Thalheimer, 1998)

    Demand for casino and parimutuel wagering 775

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    the demand for racino gaming was estimated using

    daily data from 1989 to 1990. The period of analysis

    was immediately prior to and after the nonstatutory

    pilot project when a limited number of VLTs were

    installed at the racetrack under the auspices of the

    state lottery. In this study the period of analysis

    is July 1994 through December 2002. Data are

    weekly with 443 observations over the study period.The data cover a period that includes the end of the

    limited-VLT pilot project period and subsequently

    the period where the statutory provisions of the West

    Virginia Lottery Act of 1994 replaced the temporary

    provisions of the pilot project period. In what

    follows, two econometric models are developed,

    one each for the demand for VLT and on-track

    parimutuel wagering both occurring at a single racino

    location.

    Dependent variable

    Demand is measured as handle per unit of marketarea population for VLT wagering (PCHAND_VLT)

    and for on-track parimutuel wagering

    (PCHAND_PARI). Annualized total VLT handle

    increased from $131 million to $2.6 billion from the

    first to the last 12 months of the study period. On a

    weekly basis, per capita VLT handle increased from

    $0.30 to $5.92. Real per capita VLT handle

    (RPCHAND_VLT) increased 1.580%.

    Annualized total on-track parimutuel handle

    increased from $38.2 million to $39.4 million from

    the first to the last 12 months of the study period.

    On a weekly basis, per capita parimutuel handleincreased from $0.087 to $0.090 while real per capita

    parimutuel handle (RPCHAND_PARI) declined by

    13%. The relative importance of parimutuel handle

    to total VLT plus parimutuel handle decreased over

    the study period. On-track parimutuel handle fell

    from 22.7% to 1.5% of total handle.

    The functional form chosen for the analysis relates

    the logarithm of real per capita handle to its

    determinants. This specification was chosen to

    ensure that handle will be positive. The two

    dependent variables transformed into their

    logarithmic equivalents are LRPCHAND_VLT

    and LRPCHAND_PARI.

    Demand determinants

    The major determinants of the demand for a product

    are price and product characteristics of the product,

    price and product characteristics of competing

    products, market area income and other factors

    influencing the market environment such as

    government restrictions. Following is a discussion

    of the demand determinants for both parimutuel and

    VLT wagering.

    VLT and parimutuel demand determinants general market environment

    General market environment factors affecting thedemands for both VLT and parimutuel wagering

    include,

    . trend

    . seasonality

    . holiday

    . market area per capita income

    . extreme weather conditions

    . competition

    A stochastic trend term was introduced to

    capture effects such as continuing capital improve-

    ments not captured by the other included variables.The trend variables for VLT and parimutuel wager-

    ing demands are the lagged dependent variables

    LRPCHAND_VLT(-1) and LRPCHAND_PARI

    (-1), respectively. Seasonality in the data is captured

    by the binary(0, 1) month variables: JAN, FEB,

    MAR, APR, MAY, JUN, JUL, AUG, SEP,

    OCT, NOV, DEC. The holiday effect is captured

    by the binary(0, 1) national holiday variable,

    HOLIDAY. Extreme weather conditions which

    were observed for the winter week of 9 January

    1999 and which resulted in limited wagering

    availability, are captured by the binary(0, 1) variable,

    BADWEATH.The market area economic environment is captured

    by per capita income, PCI. The independent variable

    real per capita income is denoted by RPCI. It is

    expected that both VLT and parimutuel wagering

    demands will be positively related to real per capita

    income and will increase at a decreasing rate. For

    this reason, RPCI is transformed into its logarithmic

    equivalent, LRPCI.

    The major competitors for Mountaineer Park

    over the study period were Wheeling Downs grey-

    hound racino in West Virginia, located approxi-

    mately 55 miles away and the West Virginia StateLottery. Since both Wheeling Downs and the state

    lottery were in place over the entire study period their

    effects on the demand for wagering at Mountaineer

    could not be determined.

    The effects on handle of the new hotel which was

    opened in 2002, augmenting the existing Mountaineer

    Lodge, could not be determined, possibly due

    to the lack of a sufficient time period over which to

    determine its impact.

    776 R. Thalheimer

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    VLT and parimutuel demanddeterminants VLT-specific

    Each of the VLT-specific demand variables,

    i.e. number of VLTs, type of VLT, location of

    VLTs and maximum VLT bet, was subject to

    government restrictions at some point over the

    study period. Video lottery terminals-specificfactors affecting the demands for both VLT and

    parimutuel wagering include,

    . number of VLTs

    . VLT type

    . VLT location

    . VLT maximum bet per play

    . VLT wagering days

    . VLT price

    The number of VLTs was increased greatly over

    the study period. In fiscal year 1994 at the beginning

    of the study period Mountaineer Park had 165 VLTs

    under the pilot program. These were replaced in

    September 1994 by 400 newer generation VLTs

    permitted with enactment of the West Virginia

    Lottery Act of 1994. Subsequent increases in the

    number of VLTs required permission from the West

    Virginia Lottery Commission. Upon request by

    Mountaineer Park, the number of VLTs was

    increased over the study period from 400 in 1994 to

    800 in 1995, to 1000 in 1997, to 1200 in 1998, to 1345

    in 1999, to 1905 in 2000, to 2500 in 2001 and to 3000

    by the end of 2002.

    VLT demand is expected to be positively related to

    the number of VLTs and to increase at a decreasingrate (Thalheimer and Ali, 2003). For this reason, the

    VLTs variable (VLTS) was transformed into its

    logarithmic equivalent, LVLTS. Parimutuel wagering

    demand is expected to be negatively related to the

    number of VLTs (Thalheimer, 1998). Parimutuel

    demand was specified as a linear function of VLTS.

    In this study, the relationship of the type of VLT to

    VLT wagering demand is examined for the first time

    in the literature. The type of VLT offered to

    customers is constantly changing with new game

    innovations and new technologies. The VLTs avail-

    able and permitted at various times over the study

    period varied by combinations of payment methodand game option. There were two payment methods

    available over the period. Initially, during the pilot

    project period and with passage of the West Virginia

    Lottery Act, all VLTs had to pay out winnings

    by issuing a ticket, paper receipt when a player

    finished play. This receipt could then be cashed by the

    racino cashier. Machines with this type of payment

    option are referred to as ticket-out machines.6 The

    second type of payment method, permitted later in

    the study period, is referred to as a coin-out or coin-

    drop. Coin-out machines pay winnings as coins

    dropped into a container on the front of the

    machine.In addition to payment method, the type of VLT

    was also defined by different game options permitted

    at various times over the study period. Some

    machines offered multiple game options while

    others offered single game options. All machines

    offering multiple game options were video gaming

    devices. The single game machines could offer either a

    video game such as a multi-payline slot machine-type

    game or a classical mechanical spinning reel

    Las Vegas-style slot machine game. The naming

    convention for machine type used in the remainder

    of this study is: VLT_ payment type_number of

    games_machine type( game options). Payment type

    can be ticket-out (T) or coin-out (C). The number

    of games on a machine can be one (SINGLE) or more

    (MULTI). Machine payment type can be video (VID)

    or mechanical spinning reel (REEL). A chronology

    of the introduction of various machine types

    now follows.

    The pilot project period ended in September 1994

    with implementation of the West Virginia Lottery

    Act of 1994. The first-generation ticket-out, single

    game, video, VLTs permitted over the pilot project

    period are designated as VLT_T_SINGLE_VID

    (pilot: card, keno or slot).The West Virginia Lottery Act initially provided

    for 400 second-generation ticket-out multi-game

    video machines which were installed at the racino

    on 2 September 1994. These machines replaced all of

    the original 165 pilot project machines. They offered

    card and keno games and are designated as,

    VLT_T_MULTI_VID(card, keno). While offering

    both card and keno games on a single machine, the

    Lottery Act prohibited them from offering a video

    slot machine game option. In July 1996, a video slot

    machine game option was permitted for use on the

    VLTs and was available as an additional game

    option on the existing ticket-out machines,VLT_T_MULTI_VID(card, keno, slot).7 By

    October 1998, all of the existing and new ticket-out

    VLTs had the video slot game option.

    In June 1999, the statutes were again changed to

    permit coin-out payment machines with various

    6 In recent years, receipts from ticket-out machines can be used as input to other machines in lieu of receiving cash.7 See MTR Gaming Group, Inc., United States Security and Exchange Commission, Form 10-K, Annual Report,31 December 1996. The simulated slot machine game startup was obtained from earlier reports.

    Demand for casino and parimutuel wagering 777

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    associated new game options. There were three game

    options associated with the newly permitted coin-out

    machines. In November 1999, the first coin-out

    machines were placed on the racino floor. These

    were classic Las Vegas-style single game mechanical

    spinning reel slot machines, VLT_C_SINGLE_

    REEL(classic slot). These were followed in April

    2000 by multi-game coin-out video machines withcard and slot game options, VLT_C_MULTI_VID

    (card, slot). Finally, in August 2000, single game

    multi-payline video slot machines,

    VLT_C_SINGLE_VID(multi-line slot) were installed

    on the racino floor. These video machines (generally

    with low coin input denominations such as penny or

    nickel) have symbols on more than one line and offer

    many possibilities of connecting symbols both on a

    single line and between lines.

    The distribution of machine types in a given period

    was determined as the ratio of the number of each

    available machine type divided by the total of all

    existing machine types. Each machine type in a given

    period, thus assumed a value between 0 and 1 and the

    total of machine types in a given period summed to 1.

    Because the number of VLTs largely accounted for

    the VLT impact on parimutuel wagering, the

    distribution of machines by type was not included

    in the parimutuel demand model.8

    As was the case for machine types, the effect on

    demand of the location of VLTs has not been

    examined in previous studies. Video lottery terminals

    were located at both the racetrack and lodge. The

    placement of the VLTs at the lodge and racetrack is

    measured by the VLT lodge-to-track ratio(VLT_LODGETOTRACK). Prior to enactment of

    the West Virginia Lottery Act, there were no

    restrictions on location of the VLTs. The ratio of

    VLTs at the lodge relative to the racetrack was 0.4.

    The Lottery Act provided for restrictions on the

    location of the VLTs at the racino over the study

    period. The Lottery Act specified that a 1 : 1 ratio of

    machines at the lodge vs. those at the racetrack be

    maintained. The statutes were amended in June 1998

    to permit a 2 : 1 lodge-to-track ratio. Finally, in 2000,

    the statute was amended to eliminate the relative

    placement requirements of the VLTs between the

    racetrack and lodge. The nonrestricted lodge-to-track

    ratio was 3.4 : 1 in the last year of the study period.

    The maximum bet per play on a VLT as permitted

    by statute was initially set at $2 which was raised

    to $5 on 21 April 2001 as a result of changes in

    the statute. This government restricted maximum

    bet is defined by the binary (0,1) variable,

    VLT_BETLIMIT2TO5.9

    The number of VLT days per week was not

    included in the estimating equations, since the

    VLTs were operated year-round 7 days per week,

    with the exception of Christmas Day, and so their

    effect on the demand for VLT and parimutuelwagering could not be determined.

    The price of VLT gaming is the win percent. This is

    the amount remaining after payout of winning bets

    relative to total handle. The win percent which

    averaged 8.5% over the study period was relatively

    constant throughout the period and so its effect on

    VLT or parimutuel wagering demand could not be

    determined.

    VLT and parimutuel demanddeterminants parimutuel-specific

    VLT-specific factors affecting the demands for both

    VLT and parimutuel wagering include,

    . parimutuel wagering days

    . number of on-track full-card simulcast programs

    per parimutuel wagering day

    . live race days per parimutuel wagering day

    . average daily purse

    . presence of stakes race

    . price of parimutuel wagering.

    The days per week over which parimutuel wagering

    was conducted (DAYSPARI) varied from five to

    seven over the study period. Wagering at a racetracklocation on a full schedule (card) of races simulcast

    from other racetrack who are conducting live racing

    is referred to as full-card simulcasting. Wagering on

    simulcasts of live horse and dog races sent to

    Mountaineer Park from other in-state and out-

    of-state parimutuel racetrack locations was available

    each week over the study period. It is expected that

    parimutuel wagering demand is positively related to

    DAYSPARI and increases at a decreasing rate. For

    this reason, DAYSPARI was transformed into its

    logarithmic equivalent, LDAYSPARI.

    The intensity of the full-card simulcast product was

    defined by the number of racetracks whose signals

    were received at Mountaineer Park over a week

    divided by the number of parimutuel wagering days

    in the week (FULLCARD). The average number of

    full-cards per parimutuel wagering day increased

    8 The overall explanatory power of the included demand determinants was virtually unaffected by this action. The adjustedcoefficient of determination was 0.875 with VLT types included and 0.865 when they were excluded.9 See MTR Gaming Group, Inc., United States Security and Exchange Commission, Form 10-K, Annual Report 31December 2002. The simulated slot machine game startup was obtained from earlier reports.

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    from 4 per day over the first year of the study period

    to 18 per day over the last year of the study period. It

    is expected that parimutuel wagering demand is

    positively related to FULLCARD and increases at

    a decreasing rate. For this reason, FULLCARD was

    transformed into its logarithmic equivalent,

    LFULLCARD.

    Live horse racing was conducted on all but 5 of the443 weeks in the study period, but not every day of

    the wagering week. When offered, live racing was

    always conducted on a day when full-card simulcast-

    ing was offered. The number of live race days in a

    week was equal to or less than the number of

    simulcast days in a week. The availability of live

    horse racing on a parimutuel wagering day

    (LIVECARD) was computed as the number of live

    race days in a week divided by the number of

    parimutuel wagering days in that week. LIVECARD

    varies between zero and one.

    Live race purse per wagering day, LIVEPURSE, is

    a measure of product quality to the wageringcustomer. Live race purse per race day increased

    from $23 500 to $163 100 over the study period. The

    independent variable real live race purse is denoted by

    RLIVERPURSE. To show the importance of statu-

    tory payments to purses from VLT revenues consider

    that in fiscal year 1995, the first 12 months of the

    study period, payments from VLT revenues were

    36% of total live race purses, the remaining 64%

    being funded by payments from parimutuel handle.

    By 2002, the last 12 months of the study period,

    payments to live race purses from VLT revenues were

    79% of the total with payments to purses from

    parimutuel handle accounting for the remaining 21%.

    Stakes races are the highest quality of race offering

    the highest purse at a racetrack. In this study, the

    stakes race of greatest regional importance was the

    West Virginia Derby (STAKE_WVDERBY) con-

    ducted live at Mountaineer Park. Simulcasts of the

    three triple crown stakes races of greatest national

    interest, the Kentucky Derby (STAKE_KYDERBY),

    the Preakness Stakes (STAKE_PREAKNESS) and

    the Belmont Stakes (STAKE_BELMONT) were

    available to Mountaineer customers each year over

    the study period. In addition, the simulcast of the

    Breeders Cup (STAKE_BRCUP) another stakesevent of national importance was also available to

    Mountaineer customers each year over the study

    period.

    The price of parimutuel wagering is the takeout

    rate, the statutory percent withheld from each wager

    for payment to government, racetrack and horsemen

    (purses, breeders awards). The takeout rate on live

    racing, which averaged 23% over different bet types,

    was not changed by statute over the study period and

    so its effect on VLT or parimutuel wagering demand

    could not be determined.

    Summary of model specification VLT

    The VLT demand model is specified as

    LRPCHAND VLT 0 1LRPCHAND VLT 1 2JAN

    3FEB 4MAR 5APR 6MAY

    7JUN 8JUL 9AUG 10SEP 11OCT

    12NOV 13HOLIDAY

    14LRPCI 15LVLTS

    16VLT T MULTIcard, keno

    17VLT T MULTI VIDcard, keno, slot

    18VLT C SINGLE REELclassic slot

    19VLT C SINGLE VIDmulti line slot

    19VLT C MULTI VIDcard, slot

    21VLT LODGETOTRACK

    22VLT BETLIMIT2TO5 23LDAYSPARI

    24LFULLCARD 25LIVECARD

    26RLIVEPURSE 27STAKE WVDERBY

    28STAKE KYDERBY

    29STAKE PREAKNESS

    30STAKE BELMONT

    31STAKE BRCUP 32BADWEATH u

    1

    where the variables and their functional forms are aspreviously discussed and u is the error term.

    Summary of model specification parimutuel

    The demand determinants for the parimutuel demand

    equation are identical to those in the VLT demand

    equation with the exception that the VLT machine

    type variables are not included. Additionally, the

    VLT variable, which is expected to be negatively

    related to parimutuel handle, is specified in linear

    form. The parimutuel demand model is specified as:

    LRPCHAND PARI 0 1LRPCHAND PARI 1 2JAN

    3FEB 4MAR 5APR 6MAY

    7JUN 8JUL 9AUG 10SEP

    11OCT 12NOV 13HOLIDAY

    14LRPCI 15VLTS

    16VLT LODGETOTRACK

    17VLT BETLIMIT2TO5 18DAYSPARI

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    19LFULLCARD 20LIVECARD

    21RLIVEPURSE 22STAKE WVDERBY

    23STAKE KYDERBY

    24STAKE PREAKNESS

    25STAKE BELMONT 26STAKE BRCUP

    27BADWEATH u 2

    where the variables are as previously discussed and u

    is the error term.

    Data sources and summary statistics

    Data definitions and sources are given in appendix

    Table A1. Summary statistics are given in appendix

    Table A2.

    IV. Model Estimation and Analysis

    The parimutuel and VLT wagering demand models

    were estimated using ordinary least squares.

    VLT demand model

    The estimated VLT handle demand model is given in

    Table 1. The estimated equation fits the data well

    with an adjusted R2 of 0.991. The equation is

    statistically significant. The BreuschGodfrey LM

    (Lagrange multiplier) statistic indicates the absence of

    serial correlation. This suggests that the equation is

    likely free of specification errors such as those causedby omitted variables or incorrect functional form.

    Of the 32 variables, 25 were significant at the 5%

    level or lower. All of the VLT-specific variables

    and the stochastic trend variable were significant.

    Per capita personal income and the parimutuel

    variables, live race purse and each of the stakes race

    variables were not significant.

    Video lottery terminal handle was positively related

    to the stochastic trend. This indicates that variables

    not specifically included in the equation, such as

    capital improvements made over the period, had a net

    positive effect on VLT handle. Video lottery terminalhandle was also found to increase at a decreasing rate

    with the number of VLTs. The long-run elasticity

    with respect to the number of VLTs was found to be

    0.36.10

    VLT handle was also found to be positively related

    to each of the machine type variables. The impact of

    each machine types is computed relative to the

    omitted pilot period machine type variable,

    VLT_T_SINGLE_VID(pilot: card, keno or slot).

    To compare the relative impacts on VLT handle for

    each of the machine types, their impact is computed

    for a 1% share of total available machines asfollows:11

    The machine type with the greatest impact on VLT

    handle was the classical Las-Vegas, coin-out spinningreel slot machine. Another interesting finding was

    that the permitted addition of a video slot machine

    game option to the existing ticket-out, multi-game,

    video card and keno machines, i.e. VLT_T_MULTI_

    VIDEO(card, keno, slot) vs. VLT_T_MULTI_

    VIDEO(card, keno), more than double the impact

    of those machines on VLT handle.

    It should be mentioned that other factors

    included in the product characteristic mix for each

    machine-type are characteristics that may vary

    between and within machine types. Such character-

    istics would include, for example, win percent12 and

    minimum bet (e.g. nickel, quarter, dollar). Availableinformation did not permit measurement of the effect

    of each of these factors on VLT handle independent

    of the machine-types with which they were associated.

    The individual impacts of the various machine

    types at the Mountaineer Park racino are facility

    and location-specific and may not be able to be

    generalized with respect to other racino locations.

    What is apparent from this aspect of the analysis is

    that customers showed distinct preferences for

    machines with different product characteristic

    packages such as payment method, type of game,

    and number of game options.VLT handle was found to be positively related to

    the VLT lodge-to-track ratio. Video lottery terminal

    handle was also found to increase with an increase of

    the maximum bet limit restriction from $2 to $5.

    VLT_C_SINGLE_REEL(classic slot) 2.28%VLT_T_MULTI_VIDEO(card, keno, slot) 1.73%VLT_C_SINGLE_VIDEO(multi-line slot) 1.33%VLT_C_MULTI_VIDEO(card, slot) 0.85%VLT_T_MULTI_VIDEO(card, keno) 0.80%

    10 Long-run elasticity computed as: 15/(11), where 1 and 15 are given in Equation 1 with corresponding values inTable 1.11 Long-run percent change in handle for each machine type is computed as: [exp(i/(11)(0.01)) 1]100, i 16, 20, where iand 1 are given in Equation 1 with corresponding values in Table 1.12 Although the win percent could vary by machine, the aggregate win percent remained fairly constant over the study period.

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    With respect to the parimutuel-specific variables,

    VLT handle was found to increase at a decreasing

    rate with the number of parimutuel wagering days

    and the number of full-card simulcasts per wagering

    day. The long-run demand elasticities with respect to

    parimutuel wagering days and full-card simulcastsper wagering day were 0.5413 and 0.44,14 respectively.

    To show the importance of the parimutuel

    wagering product to VLT handle, consider that

    while the average number of parimutuel wagering

    days per week did not vary greatly over the study

    period, full-card simulcast per wagering day

    (FULLCARD) at Mountaineer Park did vary

    greatly, increasing from 4 per day over the first

    12 months to 18 per day over the last 12 months.The impact on VLT handle from increasing the

    intensity of the full-card simulcast product over the

    study period was estimated to be 94.8%.15

    Table 1. VLT wagering demand model (dependent variable: LRPCHAND_VLT)

    Variable Coefficient SE t-Statistic Prob.

    C 9.2670 4.8872 1.90 0.0586LRPCHAND_VLT(1) 0.3799 0.0354 10.74 0.0000JAN 0.1262 0.0283 4.46 0.0000FEB 0.1792 0.0288 6.23 0.0000MAR 0.1718 0.0270 6.36 0.0000

    APR 0.2033 0.0265 7.67 0.0000MAY 0.1447 0.0315 4.60 0.0000JUN 0.1417 0.0292 4.85 0.0000JUL 0.1859 0.0268 6.94 0.0000AUG 0.2030 0.0277 7.33 0.0000SEP 0.1312 0.0246 5.33 0.0000OCT 0.1488 0.0242 6.14 0.0000NOV 0.0744 0.0244 3.05 0.0024HOLIDAY 0.1463 0.0145 10.10 0.0000LRPCI 0.5408 0.5109 1.06 0.2905LVLTS 0.2241 0.0420 5.33 0.0000VLT_T_MULTI_VID(card, keno) 0.4963 0.0675 7.36 0.0000VLT_T_MULTI_VID(card, keno, slot) 1.0629 0.0947 11.23 0.0000VLT_C_SINGLE_REEL(classic slot) 1.4005 0.1433 9.78 0.0000VLT_C_SINGLE_VID(multi-line slot) 0.8194 0.2135 3.84 0.0001

    VLT_C_MULTI_VID(card, slot) 0.5262 0.1841 2.86 0.0045VLT_BETLIMIT2TO5 0.0645 0.0281 2.29 0.0224VLT_LODGETOTRACK 0.0534 0.0192 2.78 0.0057LDAYSPARI 0.3328 0.1206 2.76 0.0061LFULLCARD 0.2750 0.0397 6.92 0.0000LIVECARD 0.1957 0.0437 4.48 0.0000RLIVEPURSE 2.80E-07 4.80E-07 0.58 0.5592STAKE_WVDRBY 0.0040 0.0465 0.09 0.9312STAKE_KYDRBY 0.0590 0.0398 1.48 0.1384STAKE_PREAK 0.0566 0.0398 1.42 0.1553STAKE_BELMONT 0.0047 0.0380 0.12 0.9020STAKE_BRCUP 0.0542 0.0334 1.62 0.1056BADWEATH 0.6632 0.0978 6.78 0.0000

    Summary statistics:Observations 443

    Observations adjusting endpoints 442Adjusted R2 0.990F-statistic 1368Prob(F-statistic) 0.00BreuschGodfrey LM test statistic 0.64Prob(LM test statistic) 0.42

    13 Long-run elasticity computed as: 23/(11), where 1 and 23 are given in Equation 1 with corresponding values inTable 1.14 Long-run elasticity computed as: 24/(11), where 1 and 24 are given in Equation 1 with corresponding values inTable 1.15 Long-run percent change in handle computed as: [exp((24/(11))(ln(FULLCARD{18}) ln(FULLCARD{4})) 1]100,where 1 and 24 are given in Equation 1 with corresponding values in Table 1.

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    Video lottery terminal wagering was found to

    increase with the number of live race days. The

    presence of one live race day per week was found to

    increase VLT handle 4.6%.16 The number of live race

    days per week varied from 0 to 7 over the study

    period. The maximum impact on parimutuel handle

    from offering live race wagering can be computed by

    comparing the absence of live racing to offering it

    each day of the parimutuel wagering week. This is

    estimated to be 37.1%.17 From these results it can be

    seen that the presence of the horse racing and

    wagering resulted in a large increase in the demand

    for VLT wagering.18

    Each of the VLT-specific demand variables were

    subject to government restrictions at some time over

    the study period. The effect of lifting government

    restrictions on the VLT product over the study

    period is now examined. As a result of petition by

    the racino to relax the restriction on the number of

    VLTs, the number of VLTs was increased from the

    original 400 permitted by the West Virginia Video

    Lottery Act in 1994 to 3000 by the end of the

    study period. This increase in the number of VLTswas estimated to result in a 107.1% increase in VLT

    handle.19

    The effects on VLT handle of lifting restrictions on

    machine types with associated changes in their

    relative distribution over time are given in Table 2.20

    Upon passage and implementation of the West

    Virginia Lottery Act in 1994, all of the VLTs were

    ticket-out, multi-game, video machines with card and

    keno game options without slot game options,

    VLT_T_MULTI_VID(card, keno). Eventually, as

    permitted by changes to the Lottery statutes, a

    video slot machine game option was added to each

    of these machines, VLT_T_MULTI_VID(card, keno,

    slot) replacing all of the original no-slot machine

    game option machines. The decline in the relative

    share of the original machines from 1 to 0

    accounts for the negative impact on handle shown

    in Table 2. None of the remaining machine types was

    permitted in 1994 and all were phased in at various

    times over the study period due to changes in

    statutory provisions of the West Virginia Lottery

    Act. The joint impact on VLT handle from permit-

    ting changes in VLT types relative to the initially

    permitted ticket-out, multi-game, video machines

    with card and Keno options is computed to be

    178.3%.21

    The lifting of the statutory restriction on placement

    of VLTs between the lodge and racetrack resulted

    in the VLT lodge-to-track ratio being increased

    from the government imposed 1 : 1 in 1994 to thecustomer determined 3.4 : 1 after the restriction

    was lifted. This ability to change the relative VLT

    placement from racetrack to lodge resulted in

    a 23.0% increase in VLT handle.22 Finally,

    the effect of changing the government restricted

    maximum bet per play from $2 to $5 is computed

    to be 11.0%.23

    Table 2. Impact on VLT handle of lifting government restrictions on machine type, 19942002

    Machine-type Share (1994) Share (2002) Individual impact(2)

    VLT_T_MULTI_VID(card, keno) 1.000 0.000 48.5%VLT_C_SINGLE_REEL(classic slot) 0.000 0.368 129.5%VLT_T_MULTI_VID(card, keno, slot) 0.000 0.246 52.5%VLT_C_SINGLE_VID(multi-line slot) 0.000 0.227 34.9%VLT_C_MULTI_VID(card, slot) 0.000 0.159 14.5%

    16 Long-run impact of one live day computed as: [exp((25/(11))LIVECARD{1/7}) 1]100.17 Long-run percent change in handle computed as: [exp((25/(11))(LIVECARD{1}LIVECARD{0}) 1]100, where 1and 25 are given in Equation 1 with corresponding values in Table 1.18 To test the robustness of the positive relationship between the parimutuel variables and VLT handle, Equation 2 was re-

    estimated without LVLTS. The coefficients of LDAYSPARI, LFULLCARD and LIVECARD, all remained positive andsignificant.19 Long-run percent change in handle computed as: [exp((15/(11))(LVLTS{3000}LVLTS{400})) 1]100, where 1 and15 are given in Equation 1 with corresponding values in Table 1.20 Long-run impacts computed using: exp((i/(11))(si,2002si,1994)) 1, i 16, 20, where i and 1 are given in Equation 1with corresponding values in Table 1. Si,2002 and si,1994 are shares of each machine type as shown in Table 2.21 Joint long-run percent change computed as: [exp((i/11))(si,2002si,1994)) 1]100, i 16, 20, where 1 and i are given inEquation 1 with corresponding values in Table 1. Si,2002 and si,1994 are shares of each machine type as shown in Table 2.22 Long-run percent change in handle computed as: [exp((21/(11))(VLT_LODGETOTRACK{3.4})VLT_LODGETOTRACK{1})) 1]100, where 1 and 21 are given in Equation 1 with corresponding values in Table 1.23 Long-run percent change in handle computed as: [exp((22/(11))(VLT_BETLIMIT2TO5{1}VLT_BETLIMIT2TO5{0})) 1]100, where 22 and 1 are given in Equation 1 with corresponding values in Table 1.

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    Parimutuel demand model

    The parimutuel wagering demand model is given in

    Table 3. The estimated equation fits the data well

    with an adjusted R2 of 0.85. The equation is

    statistically significant. The BreuschGodfrey LM

    statistic indicates the absence of serial correlation.

    Of the 27 variables, all but JAN and

    VLT_BETLIMIT2TO5 were significant at the 5%

    level or lower. VLT_BETLIMIT2TO5 was significantat the 9% level.

    Parimutuel wagering is positively related to the

    stochastic trend variable. This indicates that variables

    not specifically included in the equation, such as

    capital improvements made over the period, had a net

    positive effect on parimutuel handle. Parimutuel

    wagering was found to increase at a decreasing rate

    with an increase in market area per capita personal

    income. The long-run elasticity of market area per

    capita personal income was 0.86.24

    Parimutuel wagering was found to increase at a

    decreasing rate with the number of pari-mutuel

    wagering days and the number of full-card simulcast

    racetrack programs imported to the racino per

    wagering day. The long-run demand elasticities with

    respect to the number of pari-mutuel wagering days

    and the number of full-cards simulcasts per day were

    0.54 and 0.17, respectively.25

    Table 3. Parimutuel wagering demand model (dependent variable: LRPCHAND_PARI)

    Variable Coefficient SE t-Statistic Prob.

    C 11.7675 2.5982 4.53 0.0000LRPCHAND_PARI(1) 0.0999 0.0309 3.23 0.0013JAN 0.0417 0.0245 1.70 0.0897FEB 0.2304 0.0256 9.00 0.0000MAR 0.2356 0.0255 9.24 0.0000

    APR 0.2467 0.0254 9.71 0.0000MAY 0.1785 0.0325 5.50 0.0000JUN 0.2152 0.0288 7.46 0.0000JUL 0.3289 0.0278 11.85 0.0000AUG 0.3025 0.0282 10.72 0.0000SEP 0.1829 0.0246 7.42 0.0000OCT 0.1481 0.0235 6.32 0.0000NOV 0.0912 0.0240 3.80 0.0002HOLIDAY 0.1346 0.0144 9.37 0.0000LDAYSPARI 0.4867 0.1097 4.44 0.0000LFULLCARD 0.1490 0.0310 4.81 0.0000LIVECARD 0.7129 0.0445 16.02 0.0000RLIVEPURSE 1.46E-06 4.68E-07 3.12 0.0019STAKE_WVDRBY 0.2599 0.0458 5.67 0.0000STAKE_KYDRBY 0.3942 0.0406 9.71 0.0000

    STAKE_PREAK 1.86E-01 0.0403 4.60 0.0000STAKE_BELMONT 1.49E-01 0.0378 3.95 0.0001STAKE_BRCUP 0.2472 0.0334 7.41 0.0000VLTS 1.74E-04 2.91E-05 5.97 0.0000VLT_BETLIMIT2TO5 0.0236 0.0237 1.00 0.3196VLT_LODGETOTRACK 6.27E-02 1.25E-02 5.00 0.0000LRPCI 0.7781 0.2733 2.85 0.0046BADWEATH 0.7661 0.0970 7.90 0.0000

    Summary statistics:Observations 443Observations adjusting endpoints 442Adjusted R2 0.850F-statistic 93.5Prob(F-statistic) 0.00BreuschGodfrey LM test statistic 1.81

    Prob(LM test statistic) 0.18

    24 Long-run elasticity computed as: 14/(11), where 14 and 1 are given in Equation 2 with corresponding values inTable 3.25 Long-run elasticities computed as: 18/(11) and 19/(11), where 18, 19 and 1 are given in Equation 2 withcorresponding values in Table 3.

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    The number of pari-mutuel wagering days was

    relatively constant over the study period. The impact

    on parimutuel handle from increasing full-card

    simulcasts from 4 to 18 per day was estimated to be

    28.6%.26

    Parimutuel wagering was found to increase with

    the number of live race days per week. The presence

    of one live race day per week was found to increaseparimutuel handle by 12.0%.27 The maximum

    impact on parimutuel handle from offering live race

    wagering every day of the week relative to its absence

    was estimated to be 120.8%.28

    On-track parimutuel wagering on all sources, live

    and full-card, was found to increase with an increase

    in average live race purse. The long-run live race

    purse elasticity at the mean was computed to be 0.076

    indicating that total (full-card plus live) handle is very

    inelastic with respect to a change in live race purse.29

    The presence of a stakes race of regional or national

    importance was found to positively impact wagering

    demand in each case. The respective impacts on

    parimutuel handle, for the corresponding week

    during which the stakes races were conducted, were

    estimated to be, 33.5% for the West Virginia Derby,

    54.9% for the Kentucky Derby, 22.9% for the

    Preakness Stakes, 18.1% for the Belmont Stakes

    and 31.6% for the Breeders Cup Stakes.30

    Relaxing restrictions on the VLT variables which

    were subject to government restrictions resulted in

    decreases in parimutuel handle. Parimutuel handle

    was found to decrease with an increase in the number

    of VLTs. The long-run demand elasticity with

    respect to the number of VLTs, valued at the studyperiod mean, was 0.25.31 As a result of petition by

    the racino to relax the restriction on the number

    of VLTs increasing them from 400 to 3000 over

    the study period, on-track parimutuel handle was

    estimated to have decreased by 38.6%.32

    Lifting restrictions on the relative placement of the

    VLTs between the Lodge and racetrack resulted in a

    decrease in on-track parimutuel handle of 15.4%.33

    Finally, lifting restrictions on the maximum bet per

    play from $2 to $5 resulted in a 2.6% decrease in

    parimutuel handle.34

    V. Summary and Conclusions

    A pilot program with a limited number of VLTs

    conditionally permitted at Mountaineer Park

    racetrack in West Virginia was begun in 1990 under

    the auspices of the State Lottery. Declaring the pilot

    project a success, the West Virginia Video Lottery

    Act was passed in 1994 marking permanent

    slot machine gaming at West Virginia parimutuel

    racetracks, subject to local referendum.

    Demand models were estimated for the two racinoproducts, video gaming and parimutuel wagering, at

    Mountaineer Park. Data were weekly from July 1994

    to December 2002. Over that period real VLT handle

    grew 1.580%. The demand models fit the data well.

    Real per capita VLT handle was found to increase

    at a decreasing rate with the number of VLTs. Each

    of the VLT-specific demand factors included in the

    VLT wagering demand equation was subject to

    government restrictions over the study period.

    Following is a summary of the effect on handle of

    relaxing these restrictions on the VLT factors over the

    study period:

    Availability of VLT types 178.3%Number of VLTs 107.1%VLT lodge-to-track placement ratio 23.0%Bet limit $2 to $5 11.0%

    26 Long-run percent change in handle computed as: [exp((19/(11))(ln(FULLCARD{18)) ln(FULLCARD{4})) 1]100,where 19 and 1 are given in Equation 2 with corresponding values in Table 3.27 Long-run percent change in handle computed as: [exp((20/(11))(LIVECARD{1/7})) 1]100, where 1 and 20 are givenin Equation 2 with corresponding values in Table 3.28 Long-run percent change in handle computed as: [exp((20/(11))(LIVECARD{1}LIVECARD{0})) 1]100, where 20and 1 are given in Equation 2 with corresponding values in Table 3.29 Long-run elasticity computed as: 21/(11)(RLIVEPURSE{mean}), where RLIVEPURSE{mean} is the sample mean,

    21 and 1 are given in Equation 2 with corresponding values in Table 3.30 Long-run percent change computed as: [exp(i/(11)) 1]100, where 1 and i, i 22, 26 are given in Equation 2 withcorresponding values in Table 3.31 Long-run elasticity computed as 15/(11)(VLTS{mean}), where VLTS{mean} is the sample mean, and 1 and 15 aregiven in Equation 2 with corresponding values in Table 3.32 Long-run percent change in handle computed as: [exp((15/(11))(VLTS{3000}VLTS{400})) 1]100, where 1 and 15are given in Equation 2 with corresponding values in Table 3.33 Long-run percent change in handle computed as: [exp((16/(11))(VLT_LODGETOTRACK{3.4})VLT_LODGETOTRACK{1})) 1]100, where 1 and 16 are given in Equation 2 with corresponding values in Table 3.34 VLT_BETLIMIT2TO5 was not significant at the 10% level. Long-run percent change in handle computed as: [exp((17/(11))(VLT_BETLIMIT2TO5{1}VLT_ BETLIMIT2TO5{0})) 1]100, where 17 and 1 are given in Equation 2 withcorresponding values in Table 3.

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    It is interesting to note that lifting restrictions on

    the type of machines available resulted in the largest

    impact on VLT handle. Allowing management to

    more freely react to changes in consumer demand by

    lifting government restrictions on each of the

    factors limiting VLT play resulted in large increases

    in VLT handle over the study period. The joint or

    combined effect of relaxing all of these restrictions isestimated to be 687%.35 The finding that government

    restrictions may severely limit growth in gaming

    handle was also found to be the case in earlier studies

    (Nichols, 1998a, 1998b; Thalheimer and Ali, 2003).

    Availability and intensity of the parimutuel wager-

    ing product when offered jointly with VLT wagering

    product was found to result in significant increases in

    VLT wagering. For example, increasing the number

    of full-card simulcasts at the racetrack from other

    locations from 4 to 18 per day resulted in a 94.8%

    increase in VLT handle over the study period.

    The presence of live racing each day of the parimutuelwagering week relative to its absence would increase

    VLT handle by 37.1%.

    Parimutuel wagering demand was found to have a

    positive relationship to all of the parimutuel demand

    variables. Product availability as reflected by the

    number of parimutuel wagering days, the number of

    full-card simulcasts per parimutuel wagering day, and

    the presence of live racing on a parimutuel wagering

    day were all found to have large impacts on

    parimutuel wagering demand. For example, increas-

    ing the number of full-card simulcasts from 4 to

    18 over the study period resulted in a 28.6% increase

    in on-track handle. The presence of live racing eachday of the parimutuel wagering week relative to its

    absence would increase total (live plus full-card)

    handle 120.8%.

    Since a statutory portion of VLT revenue is

    dedicated to purses to promote the horse racing and

    breeding industries, the effect of purses on parimutuel

    handle is of particular importance. Live race purse

    elasticity with respect to total (live plus full-card)

    handle was found to be 0.08, highly inelastic.36 In an

    earlier study of a portfolio of live and full-card

    simulcast programs at a single racetrack location

    (Ali and Thalheimer, 2002) median average purse

    elasticity over a combination of live and full-card race

    programs was also found to be highly inelastic at

    0.15. In contrast to the effect of changes in average

    purse, the presence of a stakes race of regional or

    national importance was found to have a large

    impact on parimutuel handle. The impact varied

    from 18% to 55% for total on-track wagering over

    the week in which the race was held. This is in linewith earlier studies of the demand for parimutuel

    wagering (Thalheimer and Ali, 1992, 1995a, b, c;

    Ali and Thalheimer, 1997, 2002; Thalheimer, 1998).

    It is important to note that while parimutuel

    wagering is highly inelastic with respect to average

    purse, the large increase in purses at Mountaineer

    Park enabled the racetrack to sell the simulcasts of

    its live races to other racetracks throughout the

    country. Inclusion of the off-track component of

    handle was beyond the scope of this study largely

    due to lack of data availability from the many off-

    site racetrack locations. Prior to 2001, Mountaineerdid not export the simulcasts of its live races to

    other racetracks. Prior to 2001, Mountaineer did not

    export the simulcasts of its live races to other

    racetracks. In 2001, export simulcast handle was

    $186.5 million, increasing to $268.3 million in 2002,

    reflecting the increase in quality of races and the

    associated interest of off-site locations in offering

    those races to their patrons. This is a significant new

    source of handle. On-track handle was just 1.5% of

    total (VLT plus parimutuel) racino handle in 2002.

    Even with the additional 9.3% of total racino

    handle generated by wagering on export simulcastsof Mountaineers live races, total parimutuel handle

    (on-track plus export) was just 10.8% of total racino

    handle. The revenue picture is very different since

    revenue per dollar of export handle is much lower

    than that for on-track revenue.37 In 2002, export

    simulcast revenue was just 3.4% of total racino

    revenue. On-track parimutuel revenue was 3.5% of

    total racino revenue.38 The sum of the two

    parimutuel wagering revenue sources, on-track and

    export, was just 6.9% of total racino revenue

    reflecting the dominance of VLT gaming in the

    overall racino operation.

    35 The joint long-run percent change in VLT handle can be computed as: [exp( i/(1 1)(xi,2002 xi,1994)) 1]100, i 15, 22,where 1 and i are given in Equation 1 with corresponding values in Table 1. xi,1994 and xi,2002 are the variables of interest.Due to the logarithmic equation specification, this formula can be also be written as: [(1 g1)(1g2 ).. (1gn) 1]100, wheregi is the computed growth rate for variable xi: exp(i/(11)(xi,2002xi,1994)) 1.36 The elasticity of total (live and full-card) handle is computed relative to live race purse. It is expected that the elasticity oflive race handle relative to live race purse would be greater than elasticity relative to total handle.37 Revenue per dollar of export parimutuel handle, approximately 3% of the amount wagered, is much smaller than revenueper dollar from on-track handle.38 On-track parimutuel revenue is computed using a weighted takeout rate of 21% (23% for live race wagering and 20% foron-track simulcast wagering after payment of a 3% host fee to the sending racetrack).

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    Parimutuel wagering demand was found to be

    inversely related to the number of VLTs. The

    long-run demand elasticity with respect to the

    number of VLTs, valued at the study period mean,

    was 0.25. Relaxation of restrictions on the

    VLT-specific variables resulted in significant

    decreases in parimutuel handle. Following is a

    summary of the effect on handle of relaxingthose restrictions over the study period:

    Lifting government restrictions on the number of

    VLTs, increasing them from 400 to 3000, resulted in

    the largest reduction in parimutuel handle. Allowing

    racino management to configure the VLTs in

    response to customers preferences resulted in lower

    parimutuel handle, as parimutuel customers found it

    more convenient to participate in the VLT games.

    The joint effect of relaxing government restrictions

    on the number, location and maximum bet per play

    of the VLTs was estimated to have reduced on-track

    parimutuel handle by 49%.39

    While the effect of government restrictions on the

    demand for wagering is the focus of this article, a

    referee has pointed out that it would be useful to

    discuss the policy issue of subsidizing the race horse

    industry through dedicating a statutory percentage of

    VLT revenues to purses. In granting a monopoly

    gaming license to the West Virginia racetracks, theintent of the State Legislature to preserve the racing

    industry is clearly stated in the enabling racino

    legislation contained in the West Virginia Video

    Lottery Act of 1994 as follows (Chapter 29, Article

    22 A-2):

    The Legislature finds and declares that the existing

    pari-mutuel racing facilities in West Virginia provide

    a valuable tourism resource for this state and provide

    significant economic benefits to the citizens of this

    state through the provision of jobs and the generation

    of state revenues; that this valuable tourism resource

    is threatened because of a general decline in the racing

    industry and because of increasing competition from

    racing facilities and lottery products offered by

    neighboring states; and that the survival of West

    Virginias pari-mutuel racing industry is in jeopardy

    unless modern lottery games are authorized at the

    racetracks.

    It should also be noted that while purses are an

    expense to the racino operator, in this case

    Mountaineer Park, they are revenues to race horse

    owners and breeders. Revenues from purses for

    owners with horses at the racetrack support their

    racing operations. The revenue of race horse breeding

    operations is dependent upon yearling demand and

    supply and their direct relationship to purses

    (Neibergs and Thalheimer, 1997). Revenues from

    purses to owners and breeders of race horses result in

    race horse industry employment in accordance with

    the goal of the enabling racino legislation.

    The referee raised the question as to whetherrevenues generated at the racino from subsidized

    purses exceed their cost, i.e. whether the subsidy is

    efficient. In 2002, purses totaled $39 million. Purses

    from VLT revenues were $31 million while the

    remaining $8 million came from parimutuel wager-

    ing. Payments to purses from VLT revenue resulted

    in an increase in average live race purse from $23 544

    to $163 088 over the study period. The estimated

    increase in on-track handle from this large purse

    increase was only 13%40 or $1 million.41 Rearranging

    average purses to include more stakes races would

    increase on-track handle but the increase would still

    not provide enough wagering revenue to cover the

    cost of purses. On the VLT side of the racino ledger,

    VLT handle was not found to increase with an

    increase in purses. For these reasons, an increase in

    average purses would not generate sufficient revenue

    from racino wagering to offset their cost.

    An additional consideration, however, must be

    taken into account with respect to the VLT purse

    subsidy. Since purses are necessary to conduct live

    racing, it is informative to examine what would

    happen if, in the extreme, the lack of subsidized

    purses resulted in purses levels too low to fund

    Number of VLTs 38.6%VLT lodge-to-track placement ratio 15.4%Bet limit $2 to $5 2.6%

    39 The joint long-run percent change in VLT handle can be computed as: [exp(i/(1 1)(xi,2002xi,1994)) 1]100, i 15, 17,where 1 and i are given in Equation 2 with corresponding values in Table 2. xi,2002 and xi,1994 are the variables of interest.Due to the logarithmic equation specification, this formula can also be written as: [(1 g1)(1g2) . . . (1gn) 1]100, where giis the computed growth rate for variable xi: exp(i/(11)(xi,2002xi,1994)) 1.40 Long-run percent change in handle from purses computed as: [exp((21/(11))(RLIVEPURSE{$90 659}RLIVEPURSE{$15 653})) 1]100, where 21 and 1 are given in Equation 2 with corresponding values in Table 3, andthe number in brackets, {}, are real average live purse at the end and start of the study period.41 Computed as increase in 2002 on-track handle of $39 million multiplied by weighted average on-track takeout rate of 21%.

    786 R. Thalheimer

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    horsemens racing operations at Mountaineer. With

    no live racing at the racetrack, there would be a loss

    of $3.7 million in on-track wagering revenue.42 A loss

    of $8.0 million in export simulcast revenue.43 and a

    total parimutuel revenue loss of $12 million. Revenue

    from parimutuel wagering would not offset the $31

    million purse subsidy and as such the VLT purse

    subsidy would be inefficient. However, it has beenshown in this article that VLT handle increases on

    days when there is live racing. Using results of

    Equation 1, if live racing were to cease there would be

    an 18% loss in VLT handle resulting in a $40 million

    VLT revenue loss.44 To the extent that live racing is

    preserved, then, the VLT purse subsidy of $31 million

    would generate $52 million in racino revenue and as

    such the VLT purse subsidy would be efficient.

    Under this scenario, the net revenue generated by the

    VLT purse subsidy could be used to offset other

    operating costs of the racino. Finally, while the

    preservation of the race horse industry is the intent of

    the enabling racino legislation, whether or not all orpart of the subsidy from VLT revenues is the best

    use of video lottery revenue among competing uses is

    beyond the scope of this analysis.

    Acknowledgements

    This article was accepted for publication, subject to

    final edit, while the author was at the University of

    Louisville, Louisville KY, USA. The author would

    like to thank the West Virginia Racing Commission

    for making available the volumes of paper output on

    wagering statistics over the study period as well asproviding historical information on events that

    occurred over that period. I would also like to

    thank the West Virginia Lottery Commission for

    making data available. Special thanks are due to

    Mountaineer Park Racetrack & Gaming Resort for

    allowing access to detailed company data. Special

    thanks are also due to Dr M. M. Ali, Department of

    Economics, University of Kentucky, for his valuable

    input with respect to methodology. Finally, the

    author gratefully acknowledges the helpful comments

    of an anonymous reviewer. As is customary, the

    author assumes full responsibility for the analysis and

    the remaining errors.

    References

    Ali, M. M. and Thalheimer, R. (1997) Transportationcosts and product demand: wagering onparimutuel horse racing, Applied Economics, 29,52942.

    Ali, M. M. and Thalheimer, R. (2002) Product choice for afirm selling related products: a parimutuel application,Applied Economics, 34, 125171.

    Association of Racing Commissioners International, Inc.(2003) Pari-Mutuel Racing 2002, A StatisticalSummary, Lexington KY.

    Cargill, T. F. and Eadington, W. R. (1978) Nevadasgaming revenues: time characteristics and forecasting,Management Science, 24, 122130.

    Christiansen, E. M. (1989) 1988 US gross annual wager,Gaming & Wagering Business, 10, 822.

    Christiansen Capital Advisors, LLC (2004) Gross AnnualWager of the United States, 2003, Table 1, New York.

    Church, A. M. and Bohara, A. K. (1992) Incompleteregulation and the supply of horse racing, SouthernEconomic Journal, 58, 73242.

    Coate, D. and Ross, G. (1974) The effect of off-track betting in New York City on revenues

    to the city and state governments, National TaxJournal, 27, 639.

    DeGennaro, R. P. (1989) The determinants of wageringbehavior, Managerial and Decision Economics, 10,2218.

    Eadington, W. R. (1999) The economics of casinogambling, Journal of Economic Perspectives, 13,17392.

    Gruen, A. (1976) An inquiry into the economics of racetrack gambling, Journal of Political Economy, 84,16977.

    Hunsaker, J. (2001) The impact of riverboat casinos on thedemand for gambling at casino resorts: a theoreticaland empirical investigation, Managerial and DecisionEconomics, 22, 97111.

    McQueen, P. A. (2001) North American gaming at aglance, International Gaming & Wagering Business, 22,456.

    Morgan, W. D. and Vasche, J. D. (1979) Horseracingdemand, parimutuel taxation and state revenue poten-tial, National Tax Journal, 32, 18594.

    Morgan, W. D. and Vasche, J. D. (1982) A note on theelasticity of demand for wagering, Applied Economics,14, 46974.

    MTR Gaming Group, Inc., United States Security andExchange Commission, Form 10-K, Annual Report(various).

    Neibergs, J. S. and Thalheimer, R. (1997) Price expecta-tions and supply response in the thoroughbred yearlingmarket, Journal of Agricultural and Applied Economics,

    20, 41935.

    42 Computed as actual 2002 live race handle of $16.2 million at a takeout rate of 23%.43 Computed as 2002 export handle of $268.3 million evaluated at a payment to Mountaineer of 3% of handle wagered at thereceiving racetrack.44 Computed as 2002 VLT handle of $2.6 billion multiplied by the percent reduction in VLT handle from reducing the number oflive races per wagering day from 0.63 (4.4 days per week) to 0 evaluated at the win percent of 0.085. The long-run percentreduction in VLT handle from elimination of live racing is computed as: [exp((25/(11))(LIVECARD{0}LIVECARD{0.63)) 1]10018%, where 25 and 1 are given in Equation 1 with corresponding values in Table 1.

    Demand for casino and parimutuel wagering 787

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    Nichols, M. W. (1998a) Deregulation and cross-bordersubstitution in Iowas riverboat gaming industry,Journal of Gambling Studies, 14, 15172.

    Nichols, M. W. (1998b) The impact of deregulation oncasino win in Atlantic City, Review of IndustrialOrganization , 13, 71326.

    Simmons, S. A. and Sharp, R. (1987) State lottery effects onthoroughbred horse racing, Journal of Policy Analysisand Management, 6, 4468.

    Suits, D. B. (1979) The elasticity of demand for gambling,Quarterly Journal of Economics, 9, 15562.

    Thalheimer, R. (1998) Parimutuel wagering and videogaming: a racetrack portfolio, Applied Economics, 30,53143.

    Thalheimer, R. and Ali, M. M. (1992) Demandfor parimutuel horse race wagering with specialreference to telephone betting, Applied Economics, 24,13742.

    Thalheimer, R. and Ali, M. M. (1995a) Exotic bettingopportunities, pricing policies and the demand forparimutuel horse race wagering, Applied Economics,27, 689703.

    Thalheimer, R. and Ali, M. M. (1995b) Intertrack wageringand the demand for parimutuel horse racing, Journal

    of Economics and Business, 47, 36983.

    Thalheimer, R. and Ali, M. M. (1995c) The demand forparimutuel horse racing and attendance, ManagementScience, 41, 12943.

    Thalheimer, R. and Ali, M. M. (2003) The demand forcasino gaming, Applied Economics, 35, 90718.

    The National Association of State Racing Commissioners(1983) Pari-Mutuel Racing 1982, A StatisticalSummary.

    US Department of Commerce, Economics and StatisticsAdministration, Bureau of Economic Analysis-Regional Information System, Personal Income,Total Population, & Per Capita Personal Income byCounty and Metropolitan Area, available at http://www.bea.gov/regional/reis

    Vasche, J. D. (1990) The net revenue effect of Californiaslottery, Journal of Policy Analysis and Management, 9,5614.

    West Virginia Code, Chapter 29, Article 22A, RacetrackVideo Lottery Act, available at http://www.legis.state.wv.us

    West Virginia Lottery (2003) Comprehensive AnnualFinancial Report, Charleston, WV, pp. 151.

    West Virginia Lottery Commission, on-line data, availableat http://www.state.wv.us/lottery/ridsum.htm

    West Virginia Racing Commission, Charleston, WV.

    788 R. Thalheimer

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    Appendix

    Table

    A1.Datadefinitionan

    dsources

    Variable

    Definition

    Source

    Marketareapopulation*

    Populationofcountieslyingwithin100mileradiusof

    Mountaineer.

    USDepartmentofCommerce,Econom

    icsandStatistics

    Administration,BureauofEconomicAnalysis,

    RegionalInformationSystemAnn

    ual.

    RPCHAND_V

    LT**

    RealVLThandleperunitof

    marketareapopulation.

    WestVirginiaLotteryCommissionw

    eeklyhandle.

    Populationasdefinedabove.

    RPCHAND_P

    ARI**

    Realparimutuelhandleperu

    nitofmarketareapopulation.

    WestVirginiaRacingCommissionw

    eeklyhandle.

    Populationasdefinedabove.

    JAN,

    FEB,

    MAR,

    APR,

    MAY,

    JUN,

    JUL,

    AUG,

    SEP,OCT,NOV,DEC

    Month:binary(0,1)seasonalvariables.

    Standardcalendar.

    HOLIDAY

    Nationalholiday:binary(0,1)variable,4July,Labourday,

    Memorialday,MartinLutherKingday,NewYearsday,

    Presidentsday,Thanksgiving,Christmas.

    Standardcalendar.

    RPCI**

    Realpersonalincomeperunitofmarketareapopulation.

    USDepartmentofCommerce,Econom

    icsandStatistics

    Administration,BureauofEconomicAnalysis,Regional

    EconomicInformationSystemannualcountyincome.

    Populationasdefinedaboveannu

    al

    VLTS

    NumberofVLTs

    WestVirginiaLotteryCommissionw

    eekly

    VLTdistributionbytypeand

    datepermitted:

    VLT_T_S

    INGLE_V

    ID

    (pilot:card,keno,orslot)

    Ratioofpilotproject-ticketou

    t-singlegamevideomachinesto

    totalVLTs.

    MountaineerParkRacetrack&Resort,internalVLTfloor

    layoutdataondatesofchange.

    VLT_T_M

    ULTI_VID

    (card,keno)

    Ratioofpilotprojectreplacem

    entticket-out,multi-gamevideo

    machinestototalVLTs.

    MountaineerParkRacetrack&Resort,internalVLTfloor

    layoutdataondatesofchange.

    VLT_T_M

    ULTI_VID

    (card,keno,slot)

    Ratioofticket-out,multi-gam

    evideomachinestototal.

    Slotgameoptionaddedto

    existingticket-outVLTs.

    MountaineerParkRacetrack&Resort,internalVLTfloor

    layoutdataondatesofchange.

    VLT_C_S

    INGLE_V

    ID

    (classicslot)

    Ratioofcoin-outsingle-game

    spinningreelLasVegasstyle

    slotstototal.

    MountaineerParkRacetrack&Resort,internalVLTfloor

    layoutdataondatesofchange.

    VLT_C_M

    ULTI_VID

    (multi-lineslot)

    Ratioofcoin-out,singlegamemulti-paylinevideoslotsto

    total.

    MountaineerParkRacetrack&Resort,internalVLTfloor

    layoutdataondatesofchange.

    VLT_C_M

    ULTI_VID

    (card,slot)

    Ratioofcoin-out,multi-gamevideomachinestototal.

    MountaineerParkRacetrack&Resort,internalVLTfloor

    layoutdataondatesofchange.

    VLT_L

    ODGETOTRACK

    RatioofVLTsintheLodget

    oVLTsattheracetrackfacility.

    MTRGamingGroup,Inc.,Form10-K

    ,U.S.Securities

    andExchangeCommission(various

    years)and

    MountaineerParkRacetrack&Res

    ort,internaldata.

    VLT_B

    ETLIMIT2TO5

    Liftingofstatutoryrestrictedbetlimitfrom$2maximumto$5

    maximum.

    MountaineerParkRacetrack&Resortforeffectivedate.

    (continued)

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    Table

    A1.Continued

    Variable

    Definition

    Source

    DAYSPARI

    Totalparimutuelwageringda

    ysperweek,full-cardor

    full-cardandlive.

    WestVirginiaRacingCommissiond

    aily/weekly

    FULLCARD

    Totalnumberoffull-cardsim

    ulcastprogramsperweek

    dividedbyDAYSPARI

    WestVirginiaRacingCommissiond

    aily/weekly

    LIVECARD

    Totalnumberofliveraceday

    sperweekdividedby

    DAYSPARI.

    WestVirginiaRacingCommissiond

    aily/weekly

    RLIVEPURSE*

    Realtotalliveracepurseper

    weekdividedbythenumberof

    liveracedaysperweek.

    WestVirginiaRacingCommissiond

    aily/weekly

    STAKE_W

    VDERBY,STAKE_

    KYDERBY,STAKE_

    PREAKNESS,

    STAKE_B

    ELMONT,

    STAKE_B

    RCUP

    Stakesrace.Binary(0,1)variable.Live:WestVirginiaDerby.

    On-TrackSimulcast:Kentu

    ckyDerby,Preakness,Belmont,

    BreedersCup.

    WestVirginiaRacingCommission.

    BADWEATH

    Badweatherdayoutlier(0,1)

    forthewinterweekof9January

    1999.

    MountaineerParkRacetrack&Resort.

    Notes:*Usedinconstruction

    ofpercapitademandandincomevariables.

    **Variabledefinedinrealte

    rmsusingmonthlyCPI-U(19821984

    100),USDepartmentofLabour,Bur

    eauofLabourStatistics.

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    Table A2. Summary statistics

    Variable Mean Minimum MaximumMean(first 12 mo.)

    Mean(last 12 mo.)

    POP* 8 442 262 8 393 334 8 478 657 8 471 860 8 393 334CPI* 165.1 148.4 181.3 150.4 179.9

    Demand variables

    HAND_VLT* $21 715 533 $961 507 $63 664 048 $2 503 118 $49 780 988PCHAND_VLT* $2.5790 $0.1135 $7.5751 $0.2954 $5.9310RPCHAND_VLT* $1.5011 $0.0765 $4.2116 $0.1960 $3.2964LRPCHAND_VLT 0.0538 2.5703 1.4365 1.6998 1.1849HAND_PARI* $783 840 $203 502 $1 290 760 $735 065 $758 600PCHAND_PARI* $0.0928 $0.0241 $0.1527 $0.0868 $0.0904RPCHAND_PARI* $0.0564 $0.0147 $0.0966 $0.0577 $0.0502LRPCHAND_PARI 2.9024 4.2209 2.3374 2.8724 3.0198

    Demand determinantsLRPCHAND_VLT(1) 0.05160 2.5703 1.4365 1.7064 1.1825LRPCHAND_PARI(1) 2.9010 4.2209 2.3374 2.8734 3.0141JAN 0.0790 0 1 0.0784 0.0769FEB 0.0722 0 1 0.0784 0.0769MAR 0.0813 0 1 0.0784 0.0962APR 0.0767 0 1 0.0980 0.0769

    MAY 0.0790 0 1 0.0784 0.0769JUN 0.0790 0 1 0.0784 0.0962JUL 0.0880 0 1 0.0784 0.0769AUG 0.0903 0 1 0.0784 0.0962SEP 0.0880 0 1 0.0784 0.0769OCT 0.0880 0 1 0.0980 0.0769NOV 0.0880 0 1 0.0784 0.0962DEC 0.0903 0 1 0.0980 0.0769HOLIDAY 0.1535 0 1 0.1569 0.1538PCI* $25 689 $21 510 $29 033 $21 901 $29 033RPCI* $15 525 $14 369 $16 600 $14 561 $16 139LRPCI 9.649 9.573 9.717 9.586 9.689VLTS 1313 165 2987 358 2626LVLTS 7.0278 5.1059 8.0020 5.8376 7.8680VLT_T_SINGLE_VID

    (pilot: card, keno or slot)

    0.0196 0 1.0000 0.1706 0.0000

    VLT_T_MULTI_VID(card, keno) 0.2932 0 1.0000 0.8294 0.0000VLT_T_MULTI_VID(card, keno, slot) 0.4714 0 1.0000 0.0000 0.2462VLT_C_SINGLE_REEL(slot) 0.1223 0 0.3943 0.0000 0.3679VLT_C_SINGLE_VID(multi-line slot) 0.0411 0 0.3360 0.0000 0.2265VLT_C_MULTI_VID(card, slot) 0.0523 0 0.2110 0.0000 0.1593VLT_BETLIMIT2TO5 0.1806 0 1 0 1VLT_LODGETOTRACK 1.9720 0.4 3.4 0.69 3.4DAYSPARI* 6.89 5 7 6.37 6.98LDAYSPARI 1.9287 1.6094 1.9459 1.8492 1.9429FULLCARD* 9.95 2 21 3.99 18.36LFULLCARD 2.1781 0.6931 3.0727 1.3529 2.9069LIVERACEDAYS* 4.3 0 7 4.43 4.40LIVECARD 0.6210 0 1 0.6975 0.6300LIVEPURSE $79 411 $0 $242 500 $23 544 $163 088RLIVEPURSE $46 591 $0 $134 052 $15 653 $90 659STAKE_WVDERBY 0.0113 0 1 0.0000 0.0192STAKE_KYDERBY 0.0181 0 1 0.0196 0.0192STAKE_PREAK 0.0181 0 1 0.0196 0.0192STAKE_BELMONT 0.0181 0 1 0.0196 0.0192STAKE_BRCUP 0.0203 0 1 0.0196 0.0192BADWEATH 0.0023 0 1 0 0

    Number of observations 443 443 443 51 52

    Note: *Informational, not in demand models.

    Demand for casino and parimutuel wagering 791

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