What drives intermediation costs? A case of tennis betting market

We demonstrate that there is a considerable variation in bookmaker margins across matches, time and bookmakers. Our results imply that using match, tournament and players’ characteristics explains the variations in margins hence, they can be helpful in managing intermediation cost in a market of state-contingent assets: fixed-odds betting markets. We also provide evidence that bookmakers protect themselves by increasing odds on the favourite player, thus attracting more bettors to the favourite player, while deterring bettors from betting on the underdog by reducing the odds. By that process, bookmakers are possibly sacrificing a portion of their margin.     

OPTIMAL PRICE SETTING IN FIXED‐ODDS BETTING MARKETS UNDER INFORMATION UNCERTAINTY

This paper develops a model of optimal pricing under information uncertainty for fixed‐odds betting markets. The model suggests that bookmakers require a premium for quoting the odds several days before an event. This premium reflects the uncertainty of public information that can be exploited by expert bettors. The model predicts that when bookmakers set optimal prices, expected returns to bettors increase as a monotonic function of winning probabilities. In this manner, an information‐based explanation is given for the celebrated favourite‐longshot bias in fixed‐odds. Using an extensive data‐set of football odds from two major European bookmakers, we estimate the probability of informed betting.     

The Favourite‐Longshot Bias, Bookmaker Margins and Insider Trading in a Variety of Betting Markets

This paper verifies the existence of the favourite‐longshot bias in a variety of sports betting markets where odds are set by bookmakers, but the precise pattern of the bias is not identical. Evidence is found to support a central prediction of the Shin (1993) model, which asserts that bookmakers are impelled to create a bias in their odds because of the presence of insider traders: that margins increase with the number of competitors.     

Betting market inefficiencies are short-lived in German professional football

In this article, we argue that potential inefficiencies on betting markets are more likely to exist at the very beginning of a season, when the available information on the teams’ playing strength is difficult to evaluate. This lack of reliable information should be particularly large in the case of recently promoted teams that have typically undergone major changes in the composition of their roster following their promotion. Without any information on the latter teams’ potential performance, they are particularly difficult to evaluate, which may eventually lead to inefficiencies and positive returns on investment in the betting market. We analyse odds from German first division Bundesliga soccer for the seasons from 2002/03 to 2015/16 to find betting market inefficiencies at the start of the season. As expected, betting on recently promoted team wins generates temporarily positive returns, especially for away games. These results suggest bookmakers to underestimate promoted teams’ ability to familiarize with the conditions in the new league, such as having to play in front of larger, often hostile crowds.     

The Reverse Favourite–longshot Bias and Market Efficiency in Major League Baseball: An Update

Racetrack and sports betting markets have been researched extensively with respect to the question of market efficiency. In contrast to the consistently observed favourite–longshot bias found in racetrack betting markets, it has been shown that gamblers in the market for Major League Baseball games reveal the opposite behaviour. This paper updates the previous study with ten years of additional data for the 1990–99 seasons. The strength of the reverse favourite–longshot bias is virtually identical to the original paper. The result suggests that, contrary to most reported inefficiencies in gambling markets, this bias appears to be permanent.     

Searching for the favourite-longshot bias down under: an examination of the New Zealand pari-mutuel betting market

This paper tests for the presence of the favourite-longshot bias in a new setting. This bias #150 the tendency for bettors to underbet favourites and overbet longshots #150 has been found in most studies of pari-mutuel and bookmaking betting markets in the USA, the UK and Australia. However, there is growing evidence that in at least some pari-mutuel betting markets there is no favourite-longshot bias. This paper examines the previously unexplored New Zealand pari-mutuel betting market on horse races for evidence of this bias. Utilizing a large sample of recent New Zealand thoroughbred horse races, it is found that while early, off-track bettors price this bias into odds, late (on-and off-track) bettors eliminate much of the bias by the close of betting. That is, the results reinforce the view that not all pari-mutuel betting markets are characterized by a favourite-longshot bias at the close of betting. Evidence is also found that late bettors in this market are smart bettors.     

On the efficiency of racetrack betting market: a new test for the favourite-longshot bias

A number of empirical studies on the efficiency of racetrack betting market have shown the ‘favourite-longshot bias,’ which means longshots are overbet while favourites are underbet. Asian markets such as Hong Kong and Japan, however, have produced some contradictory empirical evidence to the bias. One critical element in the efficiency test procedure is how to assess the unobservable objective winning probability of a horse in a race. This paper proposes a new test framework with a more general evaluation of the objective probability of winning than the traditional method. Unlike the traditional method, our model allows the heterogeneity of the horses and the races. We apply the new empirical method to test whether the favourite-longshot bias is present in racetrack betting market of Korea. We found that the favourite-longshot bias exists in the racetrack market of Korea and the result distinguishes Korean racetrack market from other Asian markets.     

Do bookmakers possess superior skills to bettors in predicting outcomes?

In this paper we test the hypothesis that bookmakers display superior skills to bettors in predicting the outcome of sporting events by using matched data from traditional bookmaking and person-to-person exchanges. Employing a conditional logistic regression model on horse racing data from the UK we find that, in high liquidity betting markets, betting exchange odds have more predictive value than the corresponding bookmaker odds. To control for potential spillovers between the two markets, we repeat the analysis for cases where prices diverge significantly. Once again, exchange odds yield more valuable information concerning race outcomes than the bookmaker equivalents.     

The elasticity of demand for wagering in an unregulated market

The literature estimating the take-out rate (price) elasticity of horse race wagering has consistently found values far above one. The persistence of these apparently inefficiently high prices can be attributed to institutional factors of the US market where federal taxes are imposed on the total amount wagered, and not on the bookmakers’ revenue. By investigating all horse races in New Zealand from August 1993 to April 2009, our article is the first one to consider price setting for wagering in an unregulated market where taxes for a monopolistic betting agency are based on revenues. In such a setting, one would expect elasticities close to one, but in all econometric specifications, we find values well below one. We identify two reasons why higher prices could nevertheless reduce profits: cross price elasticities are negative and, due to the specific features of parimutuel betting, international competitors may only be attracted when take-out rates are above a critical threshold.     

To bet or not to bet: a reality check for tennis betting market efficiency

We present evidence that the tennis betting market appears to be much more efficient than suggested by previous studies. More specifically, we study the market efficiency by studying the forecasting performance of a diversified set of 40 betting rules in two ways: by searching for the existence of a return differential between betting rules and by analysing the profitability of betting rules. Even though individual tests provide evidence that, within our universe of betting rules, positive returns can be achieved, when data-snooping bias is taken into account, the evidence diminishes. Subsequently, we also find very little evidence of return differentials between betting rules. These results cast doubts on previous research as they suggest that when the potential detrimental effects of data-dreading are taken into account, betting markets in general might not, ultimately, be so inefficient.     

Why are some favourite-longshot biases positive and others negative?

Most studies of both pari-mutuel and fixed-odds betting markets have shown a systematic tendency for the expected return to bets at lower odds to exceed those at higher odds. Some work, however, has revealed in certain markets the absence or even reversal of this bias. We present a model which distinguishes two separate types of bettor, and use this to demonstrate how transactions costs, the extent of public information, and consumption benefits of betting can explain the disparities. Our empirical evidence, taken from a fixed-odds market, lends support to our theoretical conclusions.     

An explanation of each-way wagers in three models of risky choice

Punters may engage in betting on both a selection in an event to finish first or in one of the number of places, e.g. second, third or fourth. When the amounts staked with bookmakers at fixed odds on the win and place are equal, it is called an each-way bet. Each-way bets are apparently popular with punters but inconsistent with prominent models of wagering which assume gamblers are everywhere risk-seeking. In this note, we derive the conditions for win and place bets to be optimal in these three models of risky choice. The mathematical conditions for the each-way wager to be optimal, as opposed to a win and place wager with different stakes, are complicated and appear likely to occur rarely in practice. However, bettors obviously see the attraction in giving themselves two ways to bet on the one horse or two ways to win and betting each way. We suggest part of the ‘each-way’ betting attraction is that they are quick and easy to compute – a heuristic – to solve an otherwise complex betting strategy.     

The Favourite-Longshot Bias and Market Efficiency in UK Football betting

It is shown that the individual fixed-odds betting market on UK football exhibits the same favourite-longshot bias as that found in horse-racing. The bias appears both in betting on results (home win, away win or draw) and in betting on specific scores, and there are certain trading rules which appear to be profitable. Poisson and Negative Binomial regressions are carried out to estimate the mean number of goals scored by a team in a match with given market odds for the various outcomes. Tables of odds for individual scores are derived and these appear to fit the actual outcomes far better than those of the bookmaker.     

Efficiency in the NFL betting market: modifying and consolidating research methods

Modifying and consolidating previous research methods to generate more reliable estimates, some fairly weak evidence is found of inefficiency in the NFL betting market resulting from a bias favouring home underdog (against away favourite) teams. In contrast to previous research, no evidence is found that ‘momentum strategies’ generate significant returns in this market.     

Betting on weight loss … and losing: personal gambles as commitment mechanisms

Professional bookmakers rarely accept bets from individuals who directly control the outcome of the bet. We analyse a unique exception to this rule and a potential policy innovation in the battle against obesity: a weight loss betting market. If obese individuals have time-inconsistent preferences then commitment mechanisms, such as personal gambles, should help them restrain their short-term impulses and lose weight. Correspondence with the bettors confirms that this is their primary motivation. However, it appears that the bettors in our sample are not particularly skilled at choosing effective commitment mechanisms. Despite payoffs of as high as $7350, approximately 80% of people who spend money to bet on their own behaviour end up losing their bets. Empirical analysis of the betting market yields further insights. Males are treated very differently compared to females: being male is considered equivalent to having an extra 6 months to lose the same amount of weight. Movements in the market price also confirm the belief that rigidity is preferred to flexibility in setting successful weight loss targets.     

Foreign aid and economic growth in Cameroon

A recent study of the fixed-odds betting market on baseball games, while finding that the betting market is generally efficient, also found evidence of an underbetting on underdog teams. This article examines the evidence for this new anomaly. It corrects Woodland and Woodland's estimates of the commission, subjective win probabilities and test statistics. The efficiency null hypothesis cannot be rejected for all of their tests when revised test statistics are calculated for their sample period (however, like them, it was found that slight underdogs are underbet). It is also shown that their bias is not simply a bias involving favourites and underdogs. Whether underdogs are playing at home or away also seems to matter in their sample period. As well a positive relationship between returns and subjective probabilities was found for underdogs and favourites, a relationship suggestive of a favourite-longshot bias rather than its reverse. It is concluded that there is insufficient evidence to claim that this bias is a ‘true market inefficiency’.     

The house doesn’t always win: Evidence of anchoring among Australian bookies

We examine Australian horseracing bookmakers’ responses to late scratches, instances in which a horse is abruptly withdrawn after betting has commenced. Our observed bookies exhibit anchoring on the original odds and fail to re-adjust odds fully on the remaining horses after a scratch, thereby earning lower profit margins and occasionally creating nominal arbitrage opportunities for bettors. We also examine which horses’ odds bookies adjust after a scratch and demonstrate diminished profit margins even after controlling for these endogenous adjustments. Our results indicate that bookies’ adjustments recover approximately 80% of lost profit margin but that bookies forgo the remaining 20% due to systematic under-adjustments.     

DO GAMBLERS THINK THAT TEAMS TANK? EVIDENCE FROM THE NBA

A growing body of literature indicates that sports teams face incentives to lose games at the end of the season. This incentive arises from a league's entry draft policy. We use data from betting markets to confirm the existence of tanking, or the perception of tanking, in the National Basketball Association (NBA). Results from a Seemingly Unrelated Regression (SUR) model of point spreads and point differences in NBA games indicate that betting markets believe that tanking takes place in the NBA, even though the evidence that tanking actually exists is mixed. Other NBA policy changes also affect betting market outcomes. (JEL D0, L0)     

Information Efficiency in Betting Markets: a Survey

The concept of information efficiency is central to many studies of financial markets, and these studies have been well surveyed to date. A betting market is an example of a simple financial market, but one which offers researchers the added advantage that it is characterized by a well-defined termination point at which each asset (or bet) possesses a definite value. In consequence, it is much more convenient to use this particular context to formulate tests of information efficiency, and from these tests to draw useful conclusions. This paper surveys the rapidly growing literature which has to date addressed this issue of information efficiency in betting markets.     

The empirical effects of competition on third‐degree price discrimination in the presence of arbitrage

Since Borenstein ( 1985 ) and Holmes ( 1989 ), a theoretical and empirical literature has emerged that examines the effects of competition on third‐degree price discrimination. Since transaction costs involved in conducting arbitrage are typically unobserved, empirical investigations in this area have largely been restricted to markets such as for air travel where arbitrage is difficult, if not impossible. Using an entirely novel dataset, this paper documents the effect of competition on price discrimination in the presence of arbitrage in the Canadian online sports betting market where prices for Canadian teams are higher than in the world market. I observe how the prices of Canadian teams change in real time in response to the presence of arbitrageurs that establish Canadian sportsbooks’ observable marginal opportunity costs. I exploit the existence of government betting outlets not subject to arbitrage to obtain reduced form counterfactual estimates of the extent to which competition affects price discrimination in the presence of arbitrage. In this new empirical environment, I find results consistent with the airline literature: competition reduces overall price dispersion and markups, but dispersion and markups shrink more for those in the “strong” market than the “weak” market.