The Economics of American Sports Leagues

Player mobility in North American sports leagues is limited by labour market constraints designed ostensibly to allow teams to recoup player development costs and to maintain competitive balance within leagues. Theory holds that the distribution of talent will be invariant under any institutional configuration, and that while rules to constrain movement will serve to enhance monopsonistic exploitation of talent, they will have no effect on competitive balance. This paper reprises a general theory through which the effects of the labour market constraints can be comparatively analysed for American sports leagues. The economics of sports has been relegated to the realm of labour theory by the unnecessarily limiting assumption that owners of sports clubs are single‐minded profit maximisers. This paper also presents a theory that seeks to unify capital market decisions of financial leverage and ownership syndication with operational labour market decisions for athletic talent and an owner's desire to win.     

RATIONAL EXPECTATIONS AND PRO SPORTS LEAGUES

We put a new set of shoes on that old workhorse, the competitive talent market (CTM) model in sports economics. There exist unique rational expectations equilibria for both national football league (NFL‐type leagues) and major league baseball (MLB‐type leagues) under the CTM model. A cursory statistical test fails to reject the empirical implications for the NFL‐type league. The model also suggests empirical tests of whether or not talent demand (marginal revenues from talent), including induced effects, actually slopes down. But like all models, the competitive talent model should be applied in its context. It describes highly cooperative North American sports leagues that have a wealth of common information. But it may not do the same for other leagues if they lack this common information.     

Competitive balance and the participation–spectatorship gap in Chinese table tennis

Excessive competitive imbalance holds the potential to render teams and, by extension, leagues inviable. The China Table Tennis Super League has languished in its attempt to catch on as a popular spectator sport in spite of the sport’s popularity as recreational activity. One of the primary reasons for the participation–spectatorship gap cited by officials is competitive imbalance. This research estimates a number of within-season balance measures, including the standard deviation of winning, concentration ratio, and Herfindahl–Hirschman Index. The results show that both the men’s and women’s leagues have been relatively balanced over time. Implications regarding competitive balance and other league policy considerations are explored.     

Gini playing soccer

The level of income inequality in a European country influences the competitive balance of its major soccer leagues. We test this hypothesis using cointegration techniques for seven male professional soccer leagues (the Dutch, English, French, German, Italian, Spanish and Ukrainian soccer leagues) from the 1980/1981 season to the 2011/2012 season. Controlling for the level of income inequality using variables such as real GDP per capita, trade openness and the emigration rate, we conclude that income inequality (measured by the Gini index) causes changes in the measures of competitive balance that we employ (the Hirschman–Herfindahl index and the SD) concerning the final number of points scored by the various teams.     

UNBALANCED SCHEDULES AND THE ESTIMATION OF COMPETITIVE BALANCE IN THE SCOTTISH PREMIER LEAGUE

Since the season ending in 2001, the Scottish Premier League (SPL) has, unlike other European football leagues, utilised an unbalanced schedule, by which the strongest teams in a given season play each other an extra time, mutatis mutandis for the weakest teams. While this approach may make sense for several reasons, it also has implications for within-season measures of competitive balance, because it creates biases in the set of win ratios from the end-of-season league table. This paper applies a simple log-probability rule to calculate a set of adjusted win ratios correcting for this inherent bias. Such an adjustment is necessary if one wishes to compare within-season competitive balance of the SPL with other European leagues. It is shown that by correcting for the unbalanced schedule, the SPL is consistently less competitive over the sample period. The implications of this finding are discussed at length.     

BROADCASTING AND TEAM SPORTS

Television rights are the largest component of revenues for major sports in large, rich nations. Among these nations, the market structure for rights varies due to different competition policies toward sports and television. This essay examines how game coverage, revenues, and competitive balance are affected by competition in commercial television and sales of rights. It argues that consumers are better off if television is competitive and leagues do not centralize rights sales. We conclude that centralization of rights sales does not improve competitive balance or benefit financially weak teams. Finally, while digital telecommunications are making television competitive, ending centralization of sales by leagues requires policy intervention.     

REVENUE SHARING IN PROFESSIONAL SPORTS LEAGUES

We employ a model of n heterogenous profit-maximizing clubs to analyze the impact of revenue sharing in professional sports leagues on competitive balance. Revenues of each club depend on absolute quality, relative quality and on competitive balance itself so that our model captures much of the preceding literature as special cases. We show that revenue sharing always increases competitive balance if clubs differ only with respect to the impact of absolute quality on revenues. On the contrary, revenue sharing reduces competitive balance if only clubs' relative qualities play a role for revenues or if only two teams are considered.     

A Rationale for the Coexistence of Central and Decentral Marketing in Team Sports

Abstract. In some sports leagues, the sports association sells broadcasting rights centrally in order to create competitive balance. In other ones, the market is decentral. As a result, there is competitive imbalance. In this paper, the preferred kind of marketing of sports associations is analysed. Distinctions are made between three cases. In case one, the sports association is only interested in competitive balance. In the second case, it wishes to create a single high-performing team, and in the third, it maximizes aggregate performance. It is found that, depending on the preferences of the association, both kinds of marketing can be optimal.     

THE CHAMPIONS LEAGUE AND THE COASE THEOREM

This paper considers the relevance of the Coase Theorem to the analysis of sports leagues. It is widely believed that there exists an ideal competitive balance between teams in a sporting contest, and that without competitive restraints to redistribute resources championships will be too unbalanced. The paper reviews the empirical evidence on this issue to date, and then examines a model where the outcome may be either too little or too much competitive balance. Empirical evidence from English football suggests that the bias is likely to be in favour of too much competitive balance. The implications for European football in general and the Champions League in particular are then discussed.     

Wage and performance discrimination: The situation facing hispanics and blacks in major league baseball

Much has been written about discrimination in professional baseball. Many hypotheses have been formulated and tested to document the existence or nonexistence of discrimination in the major leagues. Surprisingly, research has ignored a criterion put forth by Jim Bouton in his popular and controversial 1970 book, Ball Four. This paper concentrates on the Bouton criterion. This article first discusses the history and background of discriminatory attitudes toward blacks and hispanics in major league baseball. A data base is then established, and the Bouton criterion is used to investigate three types of discrimination that blacks and hispanics can face on the playing field: differential performance requirements, job assignments, and salary treatment. The results are discussed and compared with traditional claims.     

Prospective measures of competitive balance application to money lines in the national hockey league

The authors have previously introduced the concept of utilizing point spreads to measure competitive balance in professional sports and a methodology for doing so. They assessed competitive balance in the National Football League and the National Basketball Association. This methodology was extended to measuring competitive balance utilizing money lines in major league baseball. This study starts by applying the same model to the money lines for the 2005–2015 seasons to measure competitive balance in the National Hockey League. It then statistically adjusts the money lines under various scenarios to estimate the effects of overtime rules and shootouts on competitive balance. Similar analyses of overtime effects on competitive balance of other sports are also completed for comparison purposes. The results indicate that competitive balance in the National Hockey League increased rather substantially during this period and that overtime rules and shootouts have had a much larger positive impact on competitive balance in the NHL than overtime approaches have had on the competitive balance of any of the other sports examined.     

The distance to competitive balance: a cardinal measure

Competitive balance is a key variable in the analysis of sports competitions. There are several indexes that measure competitive balance but, either they are not a mathematical metric or they do not have the unit interval as a range. Therefore, these indexes do not indicate the magnitude of the differences, and the measurements cannot be interpreted as percentages. We characterize the space of all admissible configurations of the results of a competition. Then, we construct a new index, based on the concept of distance, whose range is the unit interval, and define it as a function in a metric space. So, it solves issues linked to the limited cardinality of most existing indexes, and we can answer this question: What is the meaning of the differences between the levels of competitive balance? We applied this index to the major European soccer leagues over the last twenty seasons.     

Competition Among National Football Leagues. Does It Exist? Should We Regulate?

It is often supposed that the stakeholders of a national football league draw more satisfaction from their sport if the league is balanced, that is, if a large number of clubs have a reasonable chance of winning. This is the so‐called Competitive balance hypothesis. This hypothesis can be challenged, however, in the context of international competition like the European champions league. It could be that the utility of national leagues' stakeholders would be higher if the probability of victory for their nation's club at the international level were higher. If this were the case, a league's governing body intending to maximize the quality of the national league by making use of redistributive schemes would face a trade‐off between national competitive balance and international performance of the national representative club. We propose a simple microeconomic framework to model this trade‐off. If a non‐cooperative game exists among the national league governing bodies, whether it is a Nash or a Stackelberg one, this game would result in inefficient redistributive policies. We find ‘soft’ empirical evidence of such a competition among the big 5 football leagues in Europe. This result supports the idea of the creation of an international regulatory body. We derive the conditions under which the international regulatory body should ensure that the leagues' governing bodies implement redistributive schemes guaranteeing the respect of the national competitive balance. We also emphasize the risk of experiencing a drop in the quality of leagues if one of them becomes too big relatively to the others, what we call the tragedy of the wealthy.     

The extent to which unbalanced schedules cause distortions in sports league tables

The Australian Football League (AFL) has operated its fixture on the basis of an unbalanced schedule since the league expanded from 12 to 14 teams in 1987. This system contains a number of factors (some random) determining the set of bilateral combinations of teams that play each other on an extra occasion during the course of the season, not least of all maximising attendances. While the status quo may be unavoidable to some extent (it is also a bone of contention to many fans), its implications for within-season measures of competitive balance are nonetheless obvious. This is because of the potential for biases being created in the end-of-season league table as a result of the unbalanced schedule. This paper uses a modified model to correct for this inherent bias over the seasons 1997–2008, and the results are discussed in detail. The model is also generalisable to many unbalanced schedule designs observed in professional sports leagues worldwide.     

Evaluating the British Model of Electricity Deregulation

Abstract ** :  A key aspect of the 1990 reforms to the British electricity supply industry was the introduction of a formal system of regulation by an autonomous regulatory body. It was expected that replacement of monopolies in some areas by markets and price‐setting in monopoly areas using a simple incentive formula would mean that regulation of the industry would be 'light'. This article examines how regulation has turned out in practice. It concludes that the promise of 'light' regulation has not been fulfilled. Regulation of competitive markets is a major regulatory activity, incentive regulation has evolved into a complex and intrusive form of rate‐of‐return, while regulation of industry structure has allowed the industry to descend into a concentrated, vertically integrated structure, at odds with the aims of the reforms .     

GATE REVENUE SHARING AND LUXURY TAXES IN PROFESSIONAL SPORTS

This paper examines the impact of gate revenue sharing and luxury taxes on professional sports leagues within the context of a less restrictive demand function than those used in prior models. In contrast to previous studies, the analysis finds that the increased sharing of revenues may enhance competitive balance. Consistent with other models, the analysis finds that player salaries will diminish as the percentage of shared gate receipts rises. The analysis also explores several variations of luxury taxes. All have the effect of lowering salaries. The impact on league balance depends on how the tax is implemented and on how its proceeds are distributed. As with salary caps, enforcement problems exist with the tax.     

A factor endowment theory of international trade under imperfect competition and increasing returns

Abstract.  Constructing a two‐good (competitive and imperfectly‐competitive goods), two‐primary factor (capital and labor) and two‐country model of international trade where the imperfectly‐competitive sector is subject to increasing returns to scale, we establish an oligopolistic version of the Heckscher‐Ohlin theorem. JEL classification: F10, F12     

Multiple Buyers, Rent‐Defending and the Observed Social Costs of Monopoly

This paper uses analytical and experimental methods to assess the effects of fracturing the interests of agents seeking to maintain the competitive status quo in a rent‐seeking contest for a monopoly franchise. Theoretically, it is shown that while "rent‐defending" can ameliorate the social costs of rent‐seeking, these beneficial effects deteriorate quickly as the interests of those seeking to maintain the status quo become fractured. Experimental results indicate that overbidding is persistent when bidders have different sharing rules. In fact, the observed social costs of rent‐seeking often increase just when rent‐defending has the greatest predicted ameliorative effect.     

Competitive Balance: Time Series Lessons from the English Premier League

Structural break points in the First Division/English Premier League time series of competitive balance identify an Early Period, a Pre‐World War II Period, a Post‐War Period, and a Modern Period. The Early Period corresponds to technology diffusion (defense and tactics) along with important economic structural imposition by leagues. The war periods are common to many time series. The Modern Period's sharp decline in balance corresponds to the newest version of the Champions League in 1994/1995 and the Bosman Ruling of 1995. Rottenberg's invariance principle suggests that it would be the former, rather than the latter, responsible for the historical rate of decline that follows this structural break.