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Non-Transitive Patterns in Sports Match Outcomes: A Profitable Anomaly

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  • Jan van Ours

    (Erasmus University Rotterdam and Tinbergen Institute)

Abstract

While sports betting markets share similarities with traditional financial markets, they are more accessible for empirical research thanks to availability of high-quality data, straightforward betting procedures, and the finite duration of events. As a result, they are often analyzed for market efficiency and serve as a field laboratory for studying financial markets. This study examines 24 seasons of English Premier League matches, revealing consistent non-transitive patterns in match outcomes among various triads (groups of three clubs). These empirical findings are difficult to rationalize and represent a notable anomaly. Bookmakers ignore the non-transitive patterns when setting odds. Faced with a trade-off between efficiency using historical information and maintaining consistency, they prioritize consistency.

Suggested Citation

  • Jan van Ours, 2025. "Non-Transitive Patterns in Sports Match Outcomes: A Profitable Anomaly," Tinbergen Institute Discussion Papers 25-015/V, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20250015
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    References listed on IDEAS

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    1. Richard E. Quandt, 1986. "Betting and Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(1), pages 201-207.
    2. Raymond D. Sauer, 1998. "The Economics of Wagering Markets," Journal of Economic Literature, American Economic Association, vol. 36(4), pages 2021-2064, December.
    3. Angelini, Giovanni & De Angelis, Luca, 2019. "Efficiency of online football betting markets," International Journal of Forecasting, Elsevier, vol. 35(2), pages 712-721.
    4. Tobias J. Moskowitz, 2021. "Asset Pricing and Sports Betting," Journal of Finance, American Finance Association, vol. 76(6), pages 3153-3209, December.
    5. Vasiliki Makropoulou & Raphael N. Markellos, 2011. "Optimal Price Setting In Fixed‐Odds Betting Markets Under Information Uncertainty," Scottish Journal of Political Economy, Scottish Economic Society, vol. 58(4), pages 519-536, September.
    6. Bryson, Alex & Dolton, Peter & Reade, J. James & Schreyer, Dominik & Singleton, Carl, 2021. "Causal effects of an absent crowd on performances and refereeing decisions during Covid-19," Economics Letters, Elsevier, vol. 198(C).
    7. Hegarty, Tadgh & Whelan, Karl, 2025. "Forecasting soccer matches with betting odds: A tale of two markets," International Journal of Forecasting, Elsevier, vol. 41(2), pages 803-820.
    8. Scarf, Phil & Parma, Rishikesh & McHale, Ian, 2019. "On outcome uncertainty and scoring rates in sport: The case of international rugby union," European Journal of Operational Research, Elsevier, vol. 273(2), pages 721-730.
    9. Bozóki, Sándor & Csató, László & Temesi, József, 2016. "An application of incomplete pairwise comparison matrices for ranking top tennis players," European Journal of Operational Research, Elsevier, vol. 248(1), pages 211-218.
    10. Larsen Tim & Price Joe & Wolfers Justin, 2008. "Racial Bias in the NBA: Implications in Betting Markets," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 4(2), pages 1-21, April.
    11. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    12. Ruud H. Koning & Renske Zijm, 2023. "Betting market efficiency and prediction in binary choice models," Annals of Operations Research, Springer, vol. 325(1), pages 135-148, June.
    13. Erik Snowberg & Justin Wolfers, 2010. "Explaining the Favorite-Long Shot Bias: Is it Risk-Love or Misperceptions?," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 723-746, August.
    14. Pascal Flurin Meier & Raphael Flepp & Egon Franck, 2021. "Are sports betting markets semistrong efficient? Evidence from the COVID-19 pandemic," Working Papers 387, University of Zurich, Department of Business Administration (IBW).
    15. David Winkelmann & Christian Deutscher & Marius Ötting, 2021. "Bookmakers’ mispricing of the disappeared home advantage in the German Bundesliga after the COVID-19 break," Applied Economics, Taylor & Francis Journals, vol. 53(26), pages 3054-3064, June.
    16. Shin, Hyun Song, 1991. "Optimal Betting Odds against Insider Traders," Economic Journal, Royal Economic Society, vol. 101(408), pages 1179-1185, September.
    17. Shin, Hyun Song, 1993. "Measuring the Incidence of Insider Trading in a Market for State-Contingent Claims," Economic Journal, Royal Economic Society, vol. 103(420), pages 1141-1153, September.
    18. Erik Å trumbelj, 2016. "A Comment on the Bias of Probabilities Derived From Betting Odds and Their Use in Measuring Outcome Uncertainty," Journal of Sports Economics, , vol. 17(1), pages 12-26, January.
    19. Elaad, Guy & Reade, J. James & Singleton, Carl, 2020. "Information, prices and efficiency in an online betting market," Finance Research Letters, Elsevier, vol. 35(C).
    20. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    21. Hyun Song Shin, 2008. "Prices Of State Contingent Claims With Insider Traders, And The Favourite-Longshot Bias," World Scientific Book Chapters, in: Donald B Hausch & Victor SY Lo & William T Ziemba (ed.), Efficiency Of Racetrack Betting Markets, chapter 34, pages 343-352, World Scientific Publishing Co. Pte. Ltd..
    22. Thaler, Richard H & Ziemba, William T, 1988. "Parimutuel Betting Markets: Racetracks and Lotteries," Journal of Economic Perspectives, American Economic Association, vol. 2(2), pages 161-174, Spring.
    23. Tim Kuypers, 2000. "Information and efficiency: an empirical study of a fixed odds betting market," Applied Economics, Taylor & Francis Journals, vol. 32(11), pages 1353-1363.
    24. Raphael Flepp & Oliver Merz & Egon Franck, 2024. "When the league table lies: Does outcome bias lead to informationally inefficient markets?," Economic Inquiry, Western Economic Association International, vol. 62(1), pages 414-429, January.
    25. Arne Feddersen & Brad R. Humphreys & Brian P. Soebbing, 2018. "Sentiment Bias in National Basketball Association Betting," Journal of Sports Economics, , vol. 19(4), pages 455-472, May.
    26. Strumbelj, E. & Sikonja, M. Robnik, 2010. "Online bookmakers' odds as forecasts: The case of European soccer leagues," International Journal of Forecasting, Elsevier, vol. 26(3), pages 482-488, July.
    27. Robin Maximilian Stetzka & Stefan Winter, 2023. "How rational is gambling?," Journal of Economic Surveys, Wiley Blackwell, vol. 37(4), pages 1432-1488, September.
    28. Jonas Vandenbruaene & Marc De Ceuster & Jan Annaert, 2022. "Efficient Spread Betting Markets: A Literature Review," Journal of Sports Economics, , vol. 23(7), pages 907-949, October.
    29. David Winkelmann & Marius Ötting & Christian Deutscher & Tomasz Makarewicz, 2024. "Are Betting Markets Inefficient? Evidence From Simulations and Real Data," Journal of Sports Economics, , vol. 25(1), pages 54-97, January.
    30. József Temesi & Zsombor Szádoczki & Sándor Bozóki, 2024. "Incomplete pairwise comparison matrices: Ranking top women tennis players," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 75(1), pages 145-157, January.
    31. Dixon, Mark J. & Pope, Peter F., 2004. "The value of statistical forecasts in the UK association football betting market," International Journal of Forecasting, Elsevier, vol. 20(4), pages 697-711.
    32. Michael Cain & David Law & David Peel, 2000. "The Favourite‐Longshot Bias and Market Efficiency in UK Football betting," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(1), pages 25-36, February.
    33. Arne Feddersen & Brad R. Humphreys & Brian P. Soebbing, 2017. "Sentiment Bias And Asset Prices: Evidence From Sports Betting Markets And Social Media," Economic Inquiry, Western Economic Association International, vol. 55(2), pages 1119-1129, April.
    34. Igan, Deniz & Pinheiro, Marcelo & Smith, John, 2015. "A study of a market anomaly: “White Men Can’t Jump”, but would you bet on it?," Journal of Economic Behavior & Organization, Elsevier, vol. 113(C), pages 13-25.
    35. repec:bla:econom:v:56:y:1989:i:223:p:323-41 is not listed on IDEAS
    36. Jan C. van Ours, 2024. "Non-Transitive Patterns in Long-Term Football Rivalries," Tinbergen Institute Discussion Papers 24-031/V, Tinbergen Institute.
    37. Kai Fischer & W. Benedikt Schmal, 2025. "Pricing in response to new information: The case of betting markets," Economic Inquiry, Western Economic Association International, vol. 63(1), pages 236-264, January.
    38. Jan C. van Ours, 2024. "Nontransitive Patterns in Long-Term Football Rivalries," Journal of Sports Economics, , vol. 25(7), pages 802-826, October.
    39. Steven D. Levitt, 2004. "Why are gambling markets organised so differently from financial markets?," Economic Journal, Royal Economic Society, vol. 114(495), pages 223-246, April.
    40. Philip W. S. Newall & Dominic Cortis, 2021. "Are Sports Bettors Biased toward Longshots, Favorites, or Both? A Literature Review," Risks, MDPI, vol. 9(1), pages 1-9, January.
    41. Dimitris Batzilis & Sonia Jaffe & Steven Levitt & John A. List & Jeffrey Picel, 2019. "Behavior in Strategic Settings: Evidence from a Million Rock-Paper-Scissors Games," Games, MDPI, vol. 10(2), pages 1-34, April.
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    More about this item

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • Z2 - Other Special Topics - - Sports Economics

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