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.     

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.     

Is there an optimistic bias on betting markets?

Bettors are subject to an optimistic bias when betting on the team they support. This paper shows that this individual bias does not affect betting odds on British teams in association football (soccer), as it is often argued.     

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’.     

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.     

Market efficiency and continuous information arrival: evidence from prediction markets

Two regularities in financial economics are that prices underreact to news events and that they display short term momentum. This article tests for the presence of these regularities in prediction markets offered by the betting exchange Betfair on the 2008 Ryder Cup Golf Competition. Betfair offered in play prediction markets on the individual match play pairings and on the Cup result, with trading being virtually continuous in all markets. Modelled probabilities of the Cup result were updated continuously using trades in the individual match play pairings. These probabilities were then compared with the probabilities of the Cup result implied by odds in that market. The odds in the market for the Cup result underreact to both good and bad news that is provided by changes in the odds in the markets for the individual pairings. Further, these modelled probabilities Granger cause changes in the probabilities of the Cup result implied by odds in the market on that outcome. In addition, economically and statistically significant evidence of momentum is found in the odds in the market on the Cup result.     

Information and efficiency: an empirical study of a fixed odds betting market

The efficiency of the fixed odds betting market for football in England is investigated. It is the efficiency of how market participants utilize available information that is tested. A model of bookmaker behaviour is presented in which the bookmaker maximizes their expected share of the total amount bet. It is found that an expected profit maximizing bookmaker could set market inefficient odds. Several empirical tests using the ordered probit model with data on prices and publicly available information are carried out. Evidence of market inefficiency is identified offering profitable betting opportunities.     

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.     

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.     

Game,set and match: the favourite-long shot bias in tennis betting exchanges

We test for the existence of Favourite-Longshot Bias (FLB) in tennis betting exchanges. Despite these being order-driven markets, with no direct participation from bookmakers, we have found very similar results to those obtained by Lahvi?ka (2014) for bookmakers’ betting markets: the bias is stronger in matches between lower-ranked players, in later round matches and in high profile tournaments. This suggests that bookmakers’ adjustments to respond to informed betting are not the main driver of FLB. The varying magnitude of the bias across different types of event in the main market also weakens arguments linking FLB to gamblers’ risk preferences, and suggests the need to consider the microstructure features of the market together with the cognitive biases highlighted in the behavioural finance literature.     

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.     

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.     

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.     

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.     

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.     

Recreational versus professional bettors: Performance differences and efficiency implications

Using a novel dataset, which allows comparisons across heterogeneous sub-groups of pari-mutuel bettors, we demonstrate significant behaviour and performance distinctions between recreational and professional investors. Professionals’ ability to earn abnormal returns on short odds horses in high volume markets challenges the existing empirical consensus, which offers very limited evidence of betting market inefficiency. The results offer important lessons for betting operators and regulators and highlight the potential for similar avenues of investigation in other speculative markets.     

Momentum and betting market perceptions of momentum in college football

Past research has demonstrated that bettors believe positive momentum carries over from contest to contest. This article examines whether there is any empirical support for this belief by testing for the presence of across-contest momentum effects in college football. We characterize momentum in multiple fashions and after controlling for between-team heterogeneity find no evidence that systematic relationships exist between the degree of momentum a team enters a contest with and the outcome of that contest. From a wagering market perspective, this indicates that there is no statistically significant advantage to betting on teams perceived to possess positive momentum. Our results also suggest that the combination of the opening betting line set by odds makers and the subsequent market movement of that line does not systematically overreact to teams on streaks.     

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.     

Variable factors and eficiency in the US seel idustry: a Production Frontier Analysis

In an efficient NFL beting market, point spreads incorporate all relevant information contained in past game outcomes. Efficiency implies that trading rules based on past game outcomes should not be able to produce a consistent pattern of winners over losers. This study identifies 15 trading rules based on historical game outcomes and, using simulated gambling, tests them over the 1984–1986 NFL seasons. The study's main finding indicates that the NFL betting market is efficient, but does identify a small set of profitable trading rules over this time period.