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<strong>Incentives</strong> <strong>in</strong> <strong>Professional</strong> Box<strong>in</strong>g <strong>Contracts</strong><strong>Rafael</strong> <strong>Tenorio</strong>Department of EconomicsDePaul University1 E. Jackson Blvd. – Suite 6200Chicago, IL 60604-2287rtenorio@condor.depaul.edu(312) 362-8309 (Phone)(312) 362-5452 (Fax)AbstractThis article analyzes the characteristics and <strong>in</strong>centive effects of standard contractual practices <strong>in</strong>professional box<strong>in</strong>g. A boxer's purse is l<strong>in</strong>ked to past rather than current performance, therebycreat<strong>in</strong>g an <strong>in</strong>centives problem. Although preference for stable lifetime consumption alleviates thisproblem, sav<strong>in</strong>gs act as further <strong>in</strong>surance and the contract’s distorted <strong>in</strong>centives do not go away.Observation of a boxer be<strong>in</strong>g poorly prepared for a fight after earn<strong>in</strong>g a very large purse is consistentwith this prediction. These disappo<strong>in</strong>t<strong>in</strong>g outcomes are likely driven by the absence of a welldef<strong>in</strong>edcontract-maker <strong>in</strong> the box<strong>in</strong>g market, and by the prevalence of "casual" box<strong>in</strong>g fans.This is a non-technical, abridged version of the "The Economics of <strong>Professional</strong> Box<strong>in</strong>g<strong>Contracts</strong>," Journal of Sports Economics I, 2000, pp. 363-384.


1I. IntroductionOn October 25, 1990, James "Buster" Douglas was scheduled to defend his heavyweightbox<strong>in</strong>g title aga<strong>in</strong>st Evander "Real Deal" Holyfield. Douglas, who was guaranteed over $20 millionfor the match, showed up visibly out of shape, and delivered a lackluster performance while be<strong>in</strong>gknocked-out <strong>in</strong> three rounds. 1 He did not fight aga<strong>in</strong> for six years. Many box<strong>in</strong>g fans felt ripped-offby Douglas' performance. From the fans' perspective, the contract Douglas was given did not elicitappropriate work <strong>in</strong>centives.Unlike other <strong>in</strong>dividual sports, where explicit <strong>in</strong>centive payments and tournament rewards areprevalent, professional box<strong>in</strong>g displays a simple yet unique compensation scheme: a boxer'spayment or "purse" for a given fight is entirely guaranteed. Once a fight's expected proceeds areassessed, and after deduct<strong>in</strong>g adm<strong>in</strong>istrative costs, the boxer knows exactly how much he will get forhis performance, w<strong>in</strong>, lose, or draw, thereby enjoy<strong>in</strong>g full <strong>in</strong>surance at any given fight. 2 Economictheory predicts that, once fully <strong>in</strong>sured, an agent (the boxer <strong>in</strong> this case) will not exert the propereffort level. Thus, from a static po<strong>in</strong>t of view, this contract does not give the boxer an <strong>in</strong>centive totra<strong>in</strong> properly, <strong>in</strong>creas<strong>in</strong>g the likelihood of a poor show<strong>in</strong>g.How do <strong>in</strong>centives work <strong>in</strong> professional box<strong>in</strong>g? The answer lies <strong>in</strong> the dynamic nature ofbox<strong>in</strong>g's contractual arrangements. The market value of a fight, which is the source of the boxers'payments, is largely determ<strong>in</strong>ed by the boxers' reputation and past performances. Thus, although <strong>in</strong>1 In fact, to the casual observer, it appeared that Douglas did not try to get up when he wasknocked down.2 There are cases where a boxer shares revenues with a promoter above a guaranteed amount. Theamount to be shared, called the "overage", is uncerta<strong>in</strong> and depends on possible extra pay-per-viewor closed-circuit proceeds. Although this k<strong>in</strong>d of agreemchere4ireemlties ialt skister"pur(e, tht rewa a wile )]TJ-20


2a static sett<strong>in</strong>g one would expect a sub-par performance, such performance would have a detrimentaleffect on a boxer's future rewards. As a result, the boxer faces a trade-off between the disutility ofeffort expended <strong>in</strong> tra<strong>in</strong><strong>in</strong>g for a fight and the positive effect that this effort has on his future <strong>in</strong>come,assets, and consumption. Therefore, professional box<strong>in</strong>g contractual <strong>in</strong>centives work through<strong>in</strong>tertemporal <strong>in</strong>centives.Intertemporal contract<strong>in</strong>g has been extensively studied. Fama (1980) asserts that marketforces will tend to remove <strong>in</strong>centive problems because workers will be concerned about their labormarket reputations. Kle<strong>in</strong> and Leffler (1981) and Shapiro (1982) apply a similar logic to productmarkets, and show that firms will have the <strong>in</strong>centive to supply good quality products when futuresales depend on their current reputations. Thus, theory suggests that explicit contracts may not benecessary, s<strong>in</strong>ce markets are capable of provid<strong>in</strong>g efficient implicit contracts. However, Holmström(1982) shows that only under very specific assumptions will this claim be valid. In situations whereagents value the present more than the future and are averse to risk, the market's ability to effectivelypolice <strong>in</strong>centives may be limited.Radner (1981, 1985) and Rub<strong>in</strong>ste<strong>in</strong> and Yaari (1983) both show that multi-period contract<strong>in</strong>gcan approach efficient outcomes only if the horizon is sufficiently long and discount<strong>in</strong>g is low.Lambert (1983) relaxes these two assumptions and shows that although <strong>in</strong>centive problems cannotbe elim<strong>in</strong>ated, they can be alleviated if the agent’s rewards are based on all <strong>in</strong>formation available ateach period. F<strong>in</strong>ally, Rogerson (1985) shows that because sav<strong>in</strong>g provides additional <strong>in</strong>surance to arisk-averse agent, he will prefer to save part of his current wage if she could. S<strong>in</strong>ce these sav<strong>in</strong>gsprovide <strong>in</strong>surance for the future, access to sav<strong>in</strong>gs reduces effort levels.professional box<strong>in</strong>g.


3Although some of the features of the exist<strong>in</strong>g models apply to professional box<strong>in</strong>g, there is anelement that makes contract<strong>in</strong>g <strong>in</strong> this market unique: a true “pr<strong>in</strong>cipal” or contract-maker <strong>in</strong> thetraditional sense does not exist. The boxer's manager and the fight promoter play ma<strong>in</strong>ly<strong>in</strong>termediation roles, and as such their <strong>in</strong>terests are not necessarily opposed to the boxer’s <strong>in</strong>terests.This absence offers an <strong>in</strong>itial explanation for the potential suboptimality of standard box<strong>in</strong>gcontracts: by not ty<strong>in</strong>g the fighter’s current compensation to his current performance, valuable<strong>in</strong>formation is excluded from the contract. In other words, whether the boxer is properly prepared ornot, or whether he w<strong>in</strong>s or loses is irrelevant to the purse the boxer will receive, thus creat<strong>in</strong>g apotentially glar<strong>in</strong>g <strong>in</strong>centives problem.The contract-maker's role <strong>in</strong> the box<strong>in</strong>g market is played by a large and decentralized group of"fight buyers" or “fans” who do not necessarily coord<strong>in</strong>ate their actions. As the theory shows, s<strong>in</strong>ceeach fan's decision about buy<strong>in</strong>g the fight has a negligible effect on the boxer's payment, theresult<strong>in</strong>g choice may be suboptimal. An <strong>in</strong>dication of this may be the observed "short-termmemory" of fans: a good performance can easily erase a stream of poor performances and viceversa. The old Hollywood adage "you are only as good as your last performance" seems to fitperfectly to box<strong>in</strong>g. 3This article will analyze the exist<strong>in</strong>g contractual arrangements <strong>in</strong> professional box<strong>in</strong>g withemphasis on two questions. First, what are the effects that standard box<strong>in</strong>g contracts have on aboxer's choice of effort? Second, what sort of fan behavior is consistent with the exist<strong>in</strong>g structure3 The November 12, 1992 edition of The New York Times, quotes pay-per-view box<strong>in</strong>gbus<strong>in</strong>essman Seth Abraham as say<strong>in</strong>g "The one beautiful th<strong>in</strong>g about this bus<strong>in</strong>ess is that the viewerhas a short memory,..., look<strong>in</strong>g at it event by event. If an event warrants the time and the money,they'll order".


4of box<strong>in</strong>g contracts?My analysis is based on a formal model of professional box<strong>in</strong>g contract<strong>in</strong>g I publishedelsewhere (<strong>Tenorio</strong> 2000). In that model, a boxer's future reward is a function of his currentperformance, and this performance is positively related to the effort he expends tra<strong>in</strong><strong>in</strong>g for a fight.S<strong>in</strong>ce effort is costly and the boxer cares both about present and future consumption, the contractpayment scheme presents him with a tradeoff: higher effort causes current disutility but has apositive impact on expected <strong>in</strong>come and consumption. In pr<strong>in</strong>ciple, if the boxer cares aboutreputation, market forces should provide him with the <strong>in</strong>centives to tra<strong>in</strong> well. However, the boxer'saccess to sav<strong>in</strong>g distorts the <strong>in</strong>centives provided by reputation. If accumulated sav<strong>in</strong>gs are highenough (which is very likely <strong>in</strong> this day and age of sizable purses), a boxer may f<strong>in</strong>d it optimal toexert arbitrarily low effort at some po<strong>in</strong>t <strong>in</strong> time and either retire permanently, or “retire” temporarilyand stage a comeback later, exploit<strong>in</strong>g the fans short-term memory.The paper also presents some suggestive evidence lend<strong>in</strong>g support to a wealth-dis<strong>in</strong>centiveeffect <strong>in</strong> professional box<strong>in</strong>g. Comparative analysis of an extensive sample of box<strong>in</strong>g championsacross categories reveals that heavier-weight champions wait longer between title defenses andmake fewer successful defenses per year than lower-weight champions. S<strong>in</strong>ce, on average,championship purses are higher for heavier weight classes, these observations are consistent with thetheoretical prediction.A second po<strong>in</strong>t I discuss is the type of fan behavior reconcilable with the observed contractualpractices and the relationship between the fans' assessments and the purses offered to boxers. Iargue that the observation of large purses followed by disappo<strong>in</strong>t<strong>in</strong>g pugilistic performances iscompatible with the predom<strong>in</strong>ance of “casual” fans. A casual fan is def<strong>in</strong>ed as one who fails to


5account for the dis<strong>in</strong>centive effect of large purses on the boxer's effort when decid<strong>in</strong>g on hiswill<strong>in</strong>gness to pay for a fight. If a promoter believed that most fans were “avid” or knowledgeable-able to anticipate large purse dis<strong>in</strong>centives- excessively large purses would not exist because theywould bias the promoter's payoff downwards.The rest of the article is as follows. Section II describes box<strong>in</strong>g's standard contractualpractices. Section III discusses behavior reconcilable with observed outcomes <strong>in</strong> this market.Section IV describes a boxer's <strong>in</strong>tertemporal decisions. Section V discusses the relationship betweenfans' assessments and boxers' purses. Some empirical implications are discussed <strong>in</strong> section VI.Section VII concludes.II. Describ<strong>in</strong>g a Box<strong>in</strong>g Contract(a) The market value of a fightBoxers A and B will engage <strong>in</strong> a match at time t. Both fighters get guaranteed purses and, <strong>in</strong>exchange, will tra<strong>in</strong> and deliver their performances. Purses are determ<strong>in</strong>ed on the basis of the fight'sexpected revenue m. This expected revenue or "market value" is an estimate of the total will<strong>in</strong>gnessto pay from the "fight buyers", i.e., the viewers, advertisers, and other <strong>in</strong>terested parties. The bulk ofthese revenues is generated by view<strong>in</strong>g fees. 4An <strong>in</strong>dividual's will<strong>in</strong>gness to pay to view the fight is determ<strong>in</strong>ed by his expected utility orsatisfaction from view<strong>in</strong>g the match. This utility is a function of the boxers' expected performances,and each person forms his expectations based on all available <strong>in</strong>formation (i.e., like the boxers'4 Revenue sources <strong>in</strong>clude television, closed circuit and on-site proceeds, sponsor<strong>in</strong>g fees, sale ofmemorabilia, and others.


6reputations, purses, etc.) and also on idiosyncratic or "op<strong>in</strong>ion" factors. The op<strong>in</strong>ion factor mayreflect a person’s ability to process available <strong>in</strong>formation, as well as other subjective considerations(e.g., like or dislike for a boxer).Any <strong>in</strong>dividual will pay for view<strong>in</strong>g the fight if his expected utility from view<strong>in</strong>g exceeds theview<strong>in</strong>g fee. Suppose there are n <strong>in</strong>dividuals for whom this <strong>in</strong>equality holds. Then, the fight'smarket value m is an estimate of this number n multiplied by the view<strong>in</strong>g fee. In practice, a largefraction of m –and n- can be assessed <strong>in</strong> advance. This is because view<strong>in</strong>g fees may bepre-contracted <strong>in</strong> blocks and on-site proceeds are largely determ<strong>in</strong>ed by capacity. Other revenuecomponents like pay-per-view or closed-circuit fees can also be estimated, but their totals will not beknown until after the fight. Thus, the market value m has both a predictable and a randomcomponent. It is the job of the fight promoter to estimate value of m, and then, based on thatestimate, decide on the purses he will guarantee to each boxer. 5Observe, however, that thisguarantee has to be made based on a non-iron clad estimate, as the fight’s actual proceeds will onlybe known after the fight has transpired.(b) The boxer's performance and utility5 The promoter's role is twofold. First, he contracts with the <strong>in</strong>terested parties, organizes events,advertises the fight, and coord<strong>in</strong>ates with managers and athletic commissions. For these services, hecharges a promotional fee proportional to the fight's expected proceeds net of promotional costs.With compet<strong>in</strong>g promoters, it is reasonable to assume that the promotional fee results from marketconditions. In fact, it is customary for promoters to bid for the right to promote a fight. Second, heassesses the fight's market value and guarantees payments to the boxers based on this assessment.Thus, he plays an <strong>in</strong>surance role, and assumes the risk aris<strong>in</strong>g from uncerta<strong>in</strong> ex-post fight revenues.Despite this <strong>in</strong>surance role, the promoter is not a "pr<strong>in</strong>cipal" as def<strong>in</strong>ed <strong>in</strong> the agency literature. Heis basically an <strong>in</strong>termediary between boxers and fight buyers. This <strong>in</strong>termediation role is consistentwith the fact that some boxers have chosen to promote their own fights.


7A boxer’s performance is primarily a function of his tra<strong>in</strong><strong>in</strong>g effort and ability to execute afight plan. However, no matter how hard a fighter tra<strong>in</strong>s, there are factors beyond his control(like the weather, his opponent’s strategy, and the fight officials) that will also affect hisobserved performance. Thus performance is affected by both determ<strong>in</strong>istic and random factors.To wrap up the description of the model, I assume that a boxer’s current period utility is afunction of two variables: the effort he expends prepar<strong>in</strong>g for the fight, and his consumption dur<strong>in</strong>gthat period.III. Strategic Behavior <strong>in</strong> <strong>Professional</strong> Box<strong>in</strong>gAt each period the box<strong>in</strong>g market “game” unfolds as follows:(i) The promoter: (a) determ<strong>in</strong>es the view<strong>in</strong>g fee and assesses the fight's expected marketvalue m, and (b) offers the boxers their guaranteed purses.(ii) Each fight buyer, given his <strong>in</strong>formation, chooses whether or not to pay the fee for view<strong>in</strong>gthe fight.(iii) Each boxer, given his current purse and previously accumulated sav<strong>in</strong>gs chooses hiseffort and consumption levels.The fans' purchas<strong>in</strong>g decisions determ<strong>in</strong>e the fight's actual market value and the promoter'spayoff. After the boxers make their effort and consumption decisions, the fight takes place and eachfan receives his payoff as the difference between his utility from view<strong>in</strong>g the fight (i.e., the actualboxers' performances) and the view<strong>in</strong>g fee. Note that s<strong>in</strong>ce the promoter simply offers the marketschedule, the game is between the fight buyers and the boxers (the fans and the boxers).This problem is similar <strong>in</strong> structure to that of a seller whose reputation -and sales- depends on


8his past choice of product quality (Kle<strong>in</strong> and Leffler 1981, Shapiro 1982). Here, a cooperativeoutcome <strong>in</strong> which the seller always offers good quality and the buyers always buy the product, isatta<strong>in</strong>able through a reputation mechanism. Buyers buy <strong>in</strong> the current period as long as past qualitywas good, and boycott as soon as quality deteriorates. The seller f<strong>in</strong>ds it optimal to offer goodquality because the one-period w<strong>in</strong>dfall he would get from offer<strong>in</strong>g bad quality would be offset bythe future losses triggered by the consumers' boycott. In this reputation outcome buyers correctlyexpect good quality because it is <strong>in</strong> the seller's best <strong>in</strong>terest to supply this quality.This reputation equilibrium is <strong>in</strong> pr<strong>in</strong>ciple atta<strong>in</strong>able <strong>in</strong> box<strong>in</strong>g. A boxer would have the<strong>in</strong>centive to tra<strong>in</strong> hard because this will positively impact his future purses. Fans know that tra<strong>in</strong><strong>in</strong>ghard is <strong>in</strong> the boxer's best <strong>in</strong>terest and thus they would buy the fight based on this expectation. If itwas obvious that the boxer shirked, fans would punish him by not buy<strong>in</strong>g his next fight(s), andwould not resume their purchases until the boxer rebuilds his reputation with one or more goodperformances. If the punishment is set correctly, shirk<strong>in</strong>g will not occur <strong>in</strong> equilibrium andexpectations will be fulfilled.However, as stressed before, outcomes with non-self-fulfill<strong>in</strong>g expectations are common <strong>in</strong>professional box<strong>in</strong>g. Why are these outcomes admissible? I subsequently discuss some possibleexplanations.A first reason may be that box<strong>in</strong>g fans are too forgiv<strong>in</strong>g and do not punish defections harshlyenough. As shown <strong>in</strong> reputation models, if a player f<strong>in</strong>ds it optimal to build a reputation and thenmilk it, cooperation is not a susta<strong>in</strong>able outcome. If fans display short-term memory and onlypunish defections for one (or a few) period(s), a boxer may f<strong>in</strong>d it optimal to shirk. As demonstrated<strong>in</strong> the technical version of this article, shirk<strong>in</strong>g may be more likely once the boxer's sav<strong>in</strong>gs are high


9enough to afford him to rebuild his reputation while consum<strong>in</strong>g ma<strong>in</strong>ly out of his sav<strong>in</strong>gs.A second explanation is a one-sided version of the "end-game" problem. Although from thefans' perspective, the probability that a boxer will retire <strong>in</strong>creases as he gets older, only the boxerknows when this will happen. Thus, even if a reputation-based game is be<strong>in</strong>g played, it is possiblethat the boxer will end the game unilaterally and defect <strong>in</strong> his last fight. S<strong>in</strong>ce no punishment ispossible afterwards, this behavior is optimal. Like before, defection is more likely if the boxer'ssav<strong>in</strong>gs are high enough. 6Third, cooperation may be h<strong>in</strong>dered by the lack of observability and monitor<strong>in</strong>g of actualtra<strong>in</strong><strong>in</strong>g effort. S<strong>in</strong>ce performance is not a determ<strong>in</strong>istic function of effort, and effort isunobservable, fans may give the boxer the benefit of the doubt after a bad performance. As a result,either no punishment will take place or it may be triggered only after two or more defections. If theboxer knows this, opportunism is optimal. Radner (1981, 1985) and Rub<strong>in</strong>ste<strong>in</strong> and Yaari (1983)discuss contract design under these conditions.A fourth possible explanation is <strong>in</strong>complete <strong>in</strong>formation about the boxer's "type" or privateattributes. Suppose that boxers can be one of two types, honest or opportunistic. Honest boxersalways cooperate while opportunistic boxers are strategic. As shown by Kreps et. al. (1982), if fansface uncerta<strong>in</strong>ty about the true type of the boxer, opportunistic boxers may pool with honest boxersfor a number of periods and then defect and supply low effort(s) as the end of the game nears.F<strong>in</strong>ally, it is possible that fight buyers do not use available <strong>in</strong>formation strategically, or lack6Lazear (1979) argues that with <strong>in</strong>creas<strong>in</strong>g age-earn<strong>in</strong>gs profiles, term<strong>in</strong>ation of employmentshould be mandatory, because marg<strong>in</strong>al products will most likely fall below pay at the later stages <strong>in</strong>the career. Gibbons and Murphy (1992) show that <strong>in</strong> the presence of career concerns, an optimalcontract deals with the end-game problem by <strong>in</strong>troduc<strong>in</strong>g stronger explicit <strong>in</strong>centives as retirementnears.


10the necessary <strong>in</strong>formation to devise fully rational strategies. For <strong>in</strong>stance, if fans are not aware ofpurses or are unable to anticipate the dis<strong>in</strong>centive effects of large purses or large sav<strong>in</strong>gs accounts,disappo<strong>in</strong>tment may occur. Also, boxers have private <strong>in</strong>formation about their sav<strong>in</strong>gs andeffort-consumption tradeoffs, which are crucial <strong>in</strong> determ<strong>in</strong><strong>in</strong>g optimal choices. I will later discussthe <strong>in</strong>centive effects of the fans' potential <strong>in</strong>ability to correctly process <strong>in</strong>formation. 7IV. The Boxer's ProblemBuild<strong>in</strong>g all of the elements outl<strong>in</strong>ed <strong>in</strong> the previous section <strong>in</strong>to a formal model of anoptimiz<strong>in</strong>g boxer, yields the follow<strong>in</strong>g results:iA boxer’s current period effort depends negatively on his accumulated assets (which equal theaddition of his previous sav<strong>in</strong>gs and current purse). This result summarizes the basic<strong>in</strong>centive problem created by the contractual structure <strong>in</strong> professional box<strong>in</strong>g. Because theboxer’s current assets are entirely determ<strong>in</strong>ed by past considerations, his current effort isnegatively related to the level of these assets. Therefore, the larger the value of his assets, theless money he will need to f<strong>in</strong>ance future consumption, which dim<strong>in</strong>ishes the <strong>in</strong>centive toexpend effort. One could call this “the fat cat” effect.ii.The boxer’s optimal choice of effort is positively related to the degree to which a good7 The proliferation of sports media through cable and satellite television as well as the Internet, hasmade <strong>in</strong>formation more readily accessible to sports fans. The ma<strong>in</strong> results we present <strong>in</strong> the nextsection will rely on the fans’ ability to process the <strong>in</strong>formation rather than the amount of <strong>in</strong>formationitself.


11performance affects future purses (also known as the “marg<strong>in</strong>al <strong>in</strong>centive”). Several modernday contracts <strong>in</strong>clude cont<strong>in</strong>gency clauses for future purses that depend on whether the fighterw<strong>in</strong>s or loses. In fact, some of the big cable networks reserve their right to term<strong>in</strong>ate acontract a long term contract if a boxer loses.iii.The larger the potential role of random factors <strong>in</strong> affect<strong>in</strong>g a boxer’s performance, the herderhe will tra<strong>in</strong>. We often times hear a boxer say “I won’t leave it <strong>in</strong>to the hands of the judges,because you never know…” When a boxer expects to face highly uncerta<strong>in</strong> circumstances hisbest response is to hedge by stepp<strong>in</strong>g up his preparation for the fight.iv.A higher discount factor (lower discount rate) <strong>in</strong>creases the relative importance of tomorrow'sconsumption on the boxer’s utility so that more current period effort is <strong>in</strong>duced. In simplerterms, the more important the future is, the more effort the boxer will exert today, whichsuggests that fighters are more likely to shirk as they get older.A f<strong>in</strong>al important result relates to the possibility of a boxer choos<strong>in</strong>g an arbitrarily low effortlevel at some po<strong>in</strong>t. As po<strong>in</strong>ted out before, the payment scheme built <strong>in</strong>to a box<strong>in</strong>g contract hascounteract<strong>in</strong>g effects on the boxer’s choice of effort <strong>in</strong> the current period: a negative effect of effortdisutility (i.e., tra<strong>in</strong><strong>in</strong>g is hard), and a positive effect of future expected consumption utility (i.e.,more effort translates <strong>in</strong>to higher future purses). However, because of access to sav<strong>in</strong>gs, the boxerneeds not rely on his effort alone to enjoy higher future consumption, i.e., sav<strong>in</strong>gs act as <strong>in</strong>surancefor the future. As a result, it is possible that at some po<strong>in</strong>t <strong>in</strong> time -especially as the boxer ages-


12effort disutility may be so high as to outweigh the additional consumption utility <strong>in</strong>duced by higherfuture purses. In such case, the boxer may optimally exert arbitrarily low effort, and just be contentwith f<strong>in</strong>anc<strong>in</strong>g his future consumption out of his sav<strong>in</strong>gs account. This scenario is more likely wheneffort aversion is high (i.e., “lazy” boxers) and sav<strong>in</strong>gs are also high. Thus, poor tra<strong>in</strong><strong>in</strong>g discipl<strong>in</strong>ecoupled with large accumulated assets <strong>in</strong>crease the probability of a poor preparation andperformance. 8Empirically, we observe the above phenomenon when a boxer builds up to the po<strong>in</strong>t where hegets his "big payday" and then decides to shirk and not tra<strong>in</strong> properly for a subsequent fight. Assuggested before, two scenarios are possible. First, the boxer may decide to retire after his bigpayday so that the impact of current effort on the future becomes mean<strong>in</strong>gless. Second, a boxer maydecide to take a big payday with little effort, temporarily lay-off and enjoy his sav<strong>in</strong>gs, and thencome back. Short-term fan memory makes this scenario admissible, because the consequences of apoor performance may be erased by a good performance <strong>in</strong> the future. Panamanian boxer Roberto"Manos de Piedra" Durán, with his many pugilistic re<strong>in</strong>carnations, exemplifies this k<strong>in</strong>d of behavior.It would be unfair to conclude this section by exclusively mention<strong>in</strong>g anecdotal evidence onpoor contractual <strong>in</strong>centives <strong>in</strong> professional box<strong>in</strong>g. Intertemporal <strong>in</strong>centives, even if sub-optimal,are capable of elicit<strong>in</strong>g strong effort under some conditions. Clearly, if a boxer has good tra<strong>in</strong><strong>in</strong>gdiscipl<strong>in</strong>e and/or his big payday still lies ahead of him, <strong>in</strong>centives for hard work are significant.8 A sign of poor tra<strong>in</strong><strong>in</strong>g habits is a wide fluctuation of the fighter's weight between and acrossfights. Boxers like Douglas, Durán, and James Toney have been known to follow this pattern.Unfortunately, <strong>in</strong>formation about the boxers' weights between fights is seldom available, and weightprofiles across fights is only observable <strong>in</strong> heavyweights.


13V. The Fans' BehaviorThe previous section analyzed a boxer's optimal decisions given contractual payment schemeoffered by the fans through the promoter. I this section, I characterize the type of fan behavior that iscompatible with the standard contracts.Casual observation will tell us that there are two basic types of box<strong>in</strong>g fans. “Avid” fans arethose who are more <strong>in</strong>formed and knowledgeable, and process all of the <strong>in</strong>formation available <strong>in</strong> astrategic way. This is, they anticipate possible dis<strong>in</strong>centive effects associated with large guaranteedpurses, and determ<strong>in</strong>e their will<strong>in</strong>gness to pay accord<strong>in</strong>gly. On the other hand, “casual” fans maynot gather and/or carefully process all of the <strong>in</strong>formation available prior to the fight. As such, theymay fail to account for the purse <strong>in</strong>formation, and the potential dis<strong>in</strong>centives associated with largeguaranteed purses.In this context, the mix of avid and casual fans would be crucial <strong>in</strong> determ<strong>in</strong><strong>in</strong>g the likelihoodthat a promoter will offer a given purse. If the bulk of the fans <strong>in</strong>terpreted a very large purse asbe<strong>in</strong>g negatively correlated with the boxer's expected performance, this purse will not be offeredbecause it would lower the market value of the fight and <strong>in</strong>crease the promoter's risk. Hence, withmostly avid fans, promoters would be less likely to offer very large purses. Conversely, if casualfans were a significant fraction of the total fan population, promoters would be more likely offerlarge purses, as they will not hurt the market value of the fight or <strong>in</strong>crease promoter’s risk. Thesepredictions are summarized <strong>in</strong> the follow<strong>in</strong>g result:v. The boxers' purses (a) reflect the fans' assessments of the <strong>in</strong>formation content of these purses,and (b) are <strong>in</strong>versely related to the fraction of avid fans relative to the total fan population.


14The idea of a market outcome result<strong>in</strong>g from the <strong>in</strong>teraction of different categories of agents isassociated with the notion of "strategic complementarities" (Haltiwanger and Waldman 1985). Astrategic complementarity arises when the higher the total number of agents choos<strong>in</strong>g a particularbehavior, the higher the return to a s<strong>in</strong>gle agent that chooses that behavior.The strategic complementarity <strong>in</strong> the box<strong>in</strong>g market is asymmetric and unexploited. Thecasual fan would be better-off act<strong>in</strong>g as an avid one but not vice versa. If all fans acted <strong>in</strong> a moreavid-like fashion, the boxer's pay schedule would carry more <strong>in</strong>centives, and more efficientoutcomes could be atta<strong>in</strong>ed. In a sense, one could say that the casual fans exert a negativeexternality on the avid fans, as they are more will<strong>in</strong>g to pay for relatively low quality shows, andthus further dilute the quality of the product offered to the public. The recent proliferation of lowquality PPV shows that actually turned a good number of buys exemplifies this situation.VI. Some Suggestive EvidenceUnfortunately, a direct test of the large purse dis<strong>in</strong>centive hypothesis is not possible with theavailable data. This is because of a lack of systematic purse data across a variety of boxers andfights. Purse <strong>in</strong>formation is generally available only for "big time" fights, which would result <strong>in</strong> asample selection bias if used to test the purse-effort <strong>in</strong>centive l<strong>in</strong>k. The reason is that young fightersor fighters <strong>in</strong> less prestigious weight categories, for whom reputation build<strong>in</strong>g <strong>in</strong>centive effects arestrong, would be excluded from the sample.However, beyond the purely anecdotal, one can exploit a well-known fact regard<strong>in</strong>gchampionship box<strong>in</strong>g purses to <strong>in</strong>directly analyze the predictions of the theory. It is known that


15there is wide variation <strong>in</strong> championship purses across weight categories, with the higher-weightboxers often tak<strong>in</strong>g substantially larger purses than the lower-weight ones. As a result, one expects anewly crowned heavyweight champion to be wealthier than a newly crowned lighter-weightchampion, and that the former's wealth will <strong>in</strong>crease faster than the latter's as they successfullydefend their titles. Hence, the theoretical prediction that high wealth deters effort would suggestthat, hold<strong>in</strong>g everyth<strong>in</strong>g else constant, lighter-weight champions will likely exert more effort andhence tend to successfully defend their titles more than heavier weight champions.Table I presents summary statistics of the performances of professional box<strong>in</strong>g champions <strong>in</strong>the eight traditional weight categories. 9,10The performance <strong>in</strong>dices selected are successful titledefenses and total months of championship tenure. S<strong>in</strong>ce there is variation <strong>in</strong> frequency of titledefenses, this table also presents the average <strong>in</strong>terval between defenses as well as the number ofsuccessful defenses per year. Mean difference tests across pairs of weight categories <strong>in</strong>dicate thatthere are not any significant differences <strong>in</strong> the performance <strong>in</strong>dicators of heavyweights (H) and lightheavyweights (LH). Thus, these two categories (the "big" fighters) are grouped together forpurposes of comparison with other weight classes. 11,12 The rest of the weight classes can either be9 The use of data of championship bouts only potentially biases the results I present. This isbecause purses <strong>in</strong> championship bouts are most of the time larger that <strong>in</strong> non-championship fights.As such, the purse dis<strong>in</strong>centive effect may be larger when it comes to championships (relative tonon-championships). However, s<strong>in</strong>ce the ma<strong>in</strong> thrust of the claims will be based on compar<strong>in</strong>gpurses across weight categories, the purse-dis<strong>in</strong>centive effect should still appear as it relates toweight rather than fight status.10 The champions <strong>in</strong>cluded are all the ones recognized by at least one major sanction<strong>in</strong>g associationunder Queensberry --post-bare-knuckle-- rules up to May 30, 1994. Excluded are champions thatgave up their titles without retir<strong>in</strong>g, because this action is likely not prompted by awealth-dis<strong>in</strong>centive effect. This excluded group consists primarily of champions who move up tochallenge heavier-weight titleholders.


16pooled together or split between "medium" size fighters (middleweights [M] and welterweights [W])and "small" fighters (lightweights [L], featherweights [F], bantamweights [B], and flyweights [Fl]).Neither of these group<strong>in</strong>gs has a mean<strong>in</strong>gful impact <strong>in</strong> their comparison with H and LH.(Tables I and II about here)The z-statistics for mean comparison of performances across weight groups are also presented<strong>in</strong> Table I. Although we observe that H and LH tend to keep their titles longer, they do not makesignificantly more successful defenses than other boxers. The fact that H and LH enjoy a longeraverage championship tenure than the rest appears to contradict the wealth-dis<strong>in</strong>centive prediction.However, this <strong>in</strong>ference is refuted <strong>in</strong> column 3: H and LH keep their titles longer because they waitsignificantly longer between defenses than boxers <strong>in</strong> the other categories. This is the first <strong>in</strong>dicationof a wealth-dis<strong>in</strong>centive effect <strong>in</strong> professional box<strong>in</strong>g. S<strong>in</strong>ce H and LH likely have higher andsteeper earn<strong>in</strong>g profiles, they do not have the <strong>in</strong>centive to exert a lot of effort to accumulate extrawealth at shorter <strong>in</strong>tervals. A compet<strong>in</strong>g explanation for this longer lag between title fights is thatheavier boxers suffer more severe punishment and thus take longer to heal. This explanation is notconv<strong>in</strong>c<strong>in</strong>g, because opponents are evenly matched <strong>in</strong> terms of weight. As such, there should belittle or no reason for the relative damage <strong>in</strong>flicted to significantly vary across categories. In fact,11 An important reason for this group<strong>in</strong>g is that the sample size for heavyweights alone is toosmall to yield a statistical test with power.12 This group<strong>in</strong>g is also somewhat historically justified, s<strong>in</strong>ce, traditionally, the great lightheavyweight champions move up and challenge for the heavyweight championship. ob Fitzimmons,Tommy Loughran, Joey Maxim, Archie Moore, Billy Conn, Bob Foster, Michael Sp<strong>in</strong>ks, and RoyJones, Jr are examples of this.


17one could argue that lighter fighters are more likely to take longer to heal between fights because oftheir physically dra<strong>in</strong><strong>in</strong>g efforts to adhere to weight limits. 13 Anecdotal evidence shows that most ofthe fatalities associated with box<strong>in</strong>g have occurred <strong>in</strong> non-heavyweight fights. 14F<strong>in</strong>ally, the observed longer tenure of H and LH is mislead<strong>in</strong>g because (a) the length of tenure<strong>in</strong>dicator has a very large variance due to the presence of a few outliers (see Table II), and (b) thequality of opposition for champions <strong>in</strong> the heavier-weight classes has traditionally been lower thanthe one for champions <strong>in</strong> other divisions. 15The previous discussion po<strong>in</strong>ts towards the use of a more standard measure to compareperformance across weight categories. Column 4 shows the number of successful defenses per yearfor each group<strong>in</strong>g of weight divisions. It is clear that H and LH tend to make significantly fewersuccessful defenses per year than the rest. However, s<strong>in</strong>ce this test penalizes weight classes <strong>in</strong> whichboxers tend to keep their titles longer, I re-evaluated these comparisons by omitt<strong>in</strong>g the outliers <strong>in</strong>13 In fact, s<strong>in</strong>ce fighter weigh-<strong>in</strong>s take place the day before the fight, many fighters dehydratethemselves <strong>in</strong> order to make the weight, and then proceed to rega<strong>in</strong> a substantial amount <strong>in</strong> a shortperiodof time. Boxers like Arturo Gatti and James Toney are known for ga<strong>in</strong><strong>in</strong>g as much as 15 to20 pounds between the weigh-<strong>in</strong> and the actual fight time. Needless to say, this may pose significantrisks both for the fighter ga<strong>in</strong><strong>in</strong>g the weight as well as his opponent.14 High profile cases of permanent impairment/death as a result of <strong>in</strong>juries suffered <strong>in</strong> a match<strong>in</strong>clude Benny "Kid" Paret (middleweight), Deuk-Koo Kim (lightweight), Michael Watson(middleweight), "Kid" Akeem (bantamweight), Gerald McClellan (super middleweight), and JimmyGarcía (super feartherweight).15 The R<strong>in</strong>g magaz<strong>in</strong>e, <strong>in</strong> a number of issues between August 1987 and February 1989, publishedsome carefully constructed "quality of opposition" <strong>in</strong>dexes for champions <strong>in</strong> four of the traditionalweight categories. Out of a maximum of 10 po<strong>in</strong>ts, the averages were 6.926 (heavyweights), 8.071(light heavyweights), 8.25 (middleweights), and 8.274 (lightweights). Simple observation showsthat the opposition gets better as the weight gets lower. In fact, the <strong>in</strong>dex for heavyweights is lowerthan each --as well as the pool-- of all the other categories at a 1% level of significance. Also, thepool of the two heaviest weight groups has an <strong>in</strong>dex significantly lower than the other two weightgroups at a 1% level.


18each of the weight classes. As seen <strong>in</strong> Table II, omitt<strong>in</strong>g the two highest and the two lowestperformance <strong>in</strong>dicators <strong>in</strong> each class dim<strong>in</strong>ishes the significance of the tests <strong>in</strong> columns 1 and 2(absolute measures), but leaves the significance of the standard tests <strong>in</strong> columns 4 and 5 basicallyunchanged. Thus, the tests shown <strong>in</strong> the last two columns appear more robust and reliable than theones <strong>in</strong> the first two columns. Similar results hold if omitt<strong>in</strong>g only the highest and lowest <strong>in</strong>dicators<strong>in</strong> each group.In sum, the ma<strong>in</strong> <strong>in</strong>dications of the wealth-dis<strong>in</strong>centive effect <strong>in</strong> professional box<strong>in</strong>g are thelonger <strong>in</strong>terval between defenses and the fewer successful defenses per year observed <strong>in</strong> the heavier-and wealthier- weight categories. Lower-weight boxers, fac<strong>in</strong>g lower and flatter earn<strong>in</strong>gs profiles,have the <strong>in</strong>centive to exert more effort and successfully defend their titles more often to build-uptheir sav<strong>in</strong>gs towards retirement. Heavier boxers can afford to be less active -and less successfulandstill be able to retire or voluntarily lay-off after a few large paydays.VII. Conclud<strong>in</strong>g RemarksAn important result <strong>in</strong> the contract<strong>in</strong>g literature is that optimal solutions are atta<strong>in</strong>able underreward systems <strong>in</strong>volv<strong>in</strong>g some <strong>in</strong>surance (i.e., guaranteed payment) and a constra<strong>in</strong>ed level of<strong>in</strong>centives. Unlike most other <strong>in</strong>dividual sports, the reward system <strong>in</strong> professional box<strong>in</strong>g specifies aboxer's payment as a function of past performance alone. This article has argued that this system,while emphasiz<strong>in</strong>g the role of <strong>in</strong>surance, provides work <strong>in</strong>centives that may be sub-optimal. Bydetach<strong>in</strong>g the boxer's current reward from his current performance, these contracts do not make useof a valuable signal of the boxer's unobservable effort <strong>in</strong> prepar<strong>in</strong>g for a fight.Box<strong>in</strong>g is a rough and risky sport and as such provid<strong>in</strong>g <strong>in</strong>surance is very important. Any


19fighter's life could be lost <strong>in</strong> a s<strong>in</strong>gle fight. However, even <strong>in</strong> the presence of such risks, exist<strong>in</strong>g<strong>in</strong>centives leave a lot to be desired. This fact, compounded with the growth of purses for box<strong>in</strong>g"superstars", makes "Buster" Douglas-like episodes ever more likely to occur. Prevent<strong>in</strong>g suchepisodes does not seem easy. S<strong>in</strong>ce a fan association or union does not exist, it is not feasible toexpect that provision of <strong>in</strong>centives will come from this front.Can fans rely on the box<strong>in</strong>g organizations or athletic commissions to provide appropriate<strong>in</strong>centives? Not really. Unlike other sports, box<strong>in</strong>g has a multiplicity of sanction<strong>in</strong>g organizations,and the athletic commissions are virtually powerless relative to promotional and bus<strong>in</strong>ess ventures.These many organizations and promoters create a propitious environment for poor <strong>in</strong>centiveprovision. If a promoter offered a boxer a contract with heavy <strong>in</strong>centives, risk-aversion would implythat the boxer would prefer a contract offered by a different promoter specify<strong>in</strong>g more <strong>in</strong>surance andfewer <strong>in</strong>centives. From the contract<strong>in</strong>g literature, we know that <strong>in</strong> these environments the agents arebound to enjoy more favorable contract<strong>in</strong>g terms.The contrast between the organizational structures and reward systems <strong>in</strong> box<strong>in</strong>g and other<strong>in</strong>dividual sports like tennis, golf, or bowl<strong>in</strong>g, suggests what could be an appeal<strong>in</strong>g improvementof the current <strong>in</strong>centive system <strong>in</strong> box<strong>in</strong>g. The common denom<strong>in</strong>ators across these other sportsare that they all (a) have fairly centralized govern<strong>in</strong>g bodies, and (b) display tournament-basedcompensation schemes. If applied to box<strong>in</strong>g, the tournament idea would mean that given a totalpurse amount, the w<strong>in</strong>ner would be awarded a larger fraction than the loser. While provid<strong>in</strong>g<strong>in</strong>surance through m<strong>in</strong>imum guarantees, this system would certa<strong>in</strong>ly have more desirable<strong>in</strong>centive properties than the current one. Unfortunately, without a major <strong>in</strong>stitutional overhaul,a change <strong>in</strong> this direction will never make it beyond the avid fan's wish list.


20Table IPerformance Indicators of <strong>Professional</strong> Box<strong>in</strong>g Champions(from start of Queensberry Rules to May 1994), andz-statistics for Tests of Mean Differences of the Indicators between Weight Groups(Full sample)Weight Category Successful Months of Months SuccessfulDefenses Tenure between DefensesDefenses per YearHeavies Mean 2.49 23.43 9.17 0.96and Light S. Dev. 3.99 22.73 10.51 1.07Heavies(n=104)Middles Mean 2.04 17.51 7.39 1.27and S. Dev. 2.89 16.81 7.69 1.51Welters(n=148)Lights, Mean 2.11 18.19 6.44 1.25Feathers, S. Dev. 2.7 17.95 5.66 1.64Bantams,and Flies(n=294)____________________________________________________H & LH z-val 0.98 2.26 ** 1.52 -1.93 *v. M & WH & LH z-val 0.9 2.13 ** 2.58 *** -2.1 **v. L, F,B, & FlH & LH z-val 0.97 2.3 ** 2.29 ** -2.33 **v. FieldNotes:z-vals are for two-tailed tests of mean differences between groups*<strong>in</strong>dicates significance at 10% level**<strong>in</strong>dicates significance at 5% level***<strong>in</strong>dicates significance at 1% levelSource: The Box<strong>in</strong>g Record Book 1994. Vol. 11


21Table IIPerformance Indicators of <strong>Professional</strong> Box<strong>in</strong>g Champions(from start of Queensberry Rules to May 1994), andz-statistics for Tests of Mean Differences of the Indicators between Weight Groups(Two highest and two lowest performance <strong>in</strong>dicators omitted <strong>in</strong> each weight class)Weight Category Successful Months of Months SuccessfulDefenses Tenure between DefensesDefenses per YearHeavies Mean 2.06 19.96 7.6 0.97and Light S. Dev. 2.85 18.02 5.35 1.06Heavies(n=96)Middles Mean 1.76 15.78 6.71 1.24and S. Dev. 2.11 14.97 5.67 1.44Welters(n=140)Lights, Mean 1.93 16.66 5.87 1.27Feathers, S. Dev. 2.19 15.59 3.6 1.65Bantams,and Flies(n=278)____________________________________________________H & LH z-val 0.90 1.88 * 1.26 -1.7 *v. M & WH & LH z-val 0.42 1.61 3.03 *** -2.1 **v. L, F,B, & FlH & LH z-val 0.62 1.823 * 2.53 ** -2.23 **v. FieldNotes:z-vals are for two-tailed tests of mean differences between groups*<strong>in</strong>dicates significance at 10% level**<strong>in</strong>dicates significance at 5% level***<strong>in</strong>dicates significance at 1% levelSource: The Box<strong>in</strong>g Record Book 1994. Vol. 11


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23Sargent, T. (1987), Dynamic Macroeconomic Theory, Cambridge, MA, Harvard University Press.Shapiro, C. (1982), "Consumer Information, Product Quality and Seller Reputation, Bell Journal ofEconomics 13, 20-35.<strong>Tenorio</strong>, R. (2000), “The Economics of <strong>Professional</strong> Box<strong>in</strong>g <strong>Contracts</strong>," Journal of SportsEconomics I, 2000, pp. 363-384.

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