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Quantifying incentive (in)compatibility: A case study from sports

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  • Csató, László

Abstract

For every sports tournament, it is an important requirement to provide contestants with the appropriate incentives to perform. However, incentive compatibility is usually considered an all or nothing (binary) concept in the academic literature, that is, the rules are proved to be either strategy-proof or vulnerable to manipulation. Our paper aims to present a method for quantifying the violation of this theoretical property through the example of the European Qualifiers for the 2022 FIFA World Cup. Even though that competition is known to be incentive incompatible since lower-ranked Nations League group winners are interested in the success of their higher-ranked peers, the extent of the problem has remained unexplored until now. Computer simulations reveal that the threat of tanking can be substantially mitigated by adding a carefully chosen set of draw restrictions, which offers a justifiable and transparent solution to improve fairness. Sports governing bodies are encouraged to take our findings into account.

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  • Csató, László, 2022. "Quantifying incentive (in)compatibility: A case study from sports," European Journal of Operational Research, Elsevier, vol. 302(2), pages 717-726.
    • Handle: RePEc:eee:ejores:v:302:y:2022:i:2:p:717-726
    DOI: 10.1016/j.ejor.2022.01.042
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    1. László Csató, 2019. "UEFA Champions League Entry Has Not Satisfied Strategyproofness in Three Seasons," Journal of Sports Economics, , vol. 20(7), pages 975-981, October.
    2. Scarf, Philip & Yusof, Muhammad Mat & Bilbao, Mark, 2009. "A numerical study of designs for sporting contests," European Journal of Operational Research, Elsevier, vol. 198(1), pages 190-198, October.
    3. Sebastián Cea & Guillermo Durán & Mario Guajardo & Denis Sauré & Joaquín Siebert & Gonzalo Zamorano, 2020. "An analytics approach to the FIFA ranking procedure and the World Cup final draw," Annals of Operations Research, Springer, vol. 286(1), pages 119-146, March.
    4. Vong, Allen I.K., 2017. "Strategic manipulation in tournament games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 562-567.
    5. Wladimir Andreff, 2019. "An Economic Roadmap to the Dark Side of Sport," Post-Print hal-03231837, HAL.
    6. Wladimir Andreff, 2019. "An Economic Roadmap to the Dark Side of Sport," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03231837, HAL.
    7. Liam J. A. Lenten, 2016. "Mitigation of Perverse Incentives in Professional Sports Leagues with Reverse-Order Drafts," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 49(1), pages 25-41, August.
    8. László Csató, 2020. "The UEFA Champions League seeding is not strategy-proof since the 2015/16 season," Annals of Operations Research, Springer, vol. 292(1), pages 161-169, September.
    9. László Csató, 2020. "Optimal Tournament Design: Lessons From the Men’s Handball Champions League," Journal of Sports Economics, , vol. 21(8), pages 848-868, December.
    10. Wladimir Andreff, 2019. "An Economic Roadmap to the Dark Side of Sport," Post-Print hal-03231891, HAL.
    11. Lenten, Liam J.A. & Smith, Aaron C.T. & Boys, Noel, 2018. "Evaluating an alternative draft pick allocation policy to reduce ‘tanking’ in the Australian Football League," European Journal of Operational Research, Elsevier, vol. 267(1), pages 315-320.
    12. Ian Preston, 2003. "Cheating in Contests," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 19(4), pages 612-624, Winter.
    13. Joseph Price & Brian P. Soebbing & David Berri & Brad R. Humphreys, 2010. "Tournament Incentives, League Policy, and NBA Team Performance Revisited," Journal of Sports Economics, , vol. 11(2), pages 117-135, April.
    14. Dmitry Dagaev & Konstantin Sonin, 2018. "Winning by Losing," Journal of Sports Economics, , vol. 19(8), pages 1122-1146, December.
    15. Dries Goossens & Jeroen Beliën & Frits Spieksma, 2012. "Comparing league formats with respect to match importance in Belgian football," Annals of Operations Research, Springer, vol. 194(1), pages 223-240, April.
    16. Marc Pauly, 2014. "Can strategizing in round-robin subtournaments be avoided?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 29-46, June.
    17. Corona, Francisco & Forrest, David & Tena, J.D. & Wiper, Michael, 2019. "Bayesian forecasting of UEFA Champions League under alternative seeding regimes," International Journal of Forecasting, Elsevier, vol. 35(2), pages 722-732.
    18. Chater, Mario & Arrondel, Luc & Gayant, Jean-Pascal & Laslier, Jean-François, 2021. "Fixing match-fixing: Optimal schedules to promote competitiveness," European Journal of Operational Research, Elsevier, vol. 294(2), pages 673-683.
    19. Bonkoungou, Somouaoga & Nesterov, Alexander, 2021. "Comparing school choice and college admissions mechanisms by their strategic accessibility," Theoretical Economics, Econometric Society, vol. 16(3), July.
    20. Beck A. Taylor & Justin G. Trogdon, 2002. "Losing to Win: Tournament Incentives in the National Basketball Association," Journal of Labor Economics, University of Chicago Press, vol. 20(1), pages 23-41, January.
    21. Fernando Alarcón & Guillermo Durán & Mario Guajardo & Jaime Miranda & Hugo Muñoz & Luis Ramírez & Mario Ramírez & Denis Sauré & Matías Siebert & Sebastián Souyris & Andrés Weintraub & Rodrigo Wolf-Yad, 2017. "Operations Research Transforms the Scheduling of Chilean Soccer Leagues and South American World Cup Qualifiers," Interfaces, INFORMS, vol. 47(1), pages 52-69, February.
    22. Kendall, Graham & Lenten, Liam J.A., 2017. "When sports rules go awry," European Journal of Operational Research, Elsevier, vol. 257(2), pages 377-394.
    23. Guyon Julien, 2015. "Rethinking the FIFA World Cup™ final draw," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 11(3), pages 169-182, September.
    24. Baker, Rose D. & McHale, Ian G., 2018. "Time-varying ratings for international football teams," European Journal of Operational Research, Elsevier, vol. 267(2), pages 659-666.
    25. Mark Duggan & Steven D. Levitt, 2002. "Winning Isn't Everything: Corruption in Sumo Wrestling," American Economic Review, American Economic Association, vol. 92(5), pages 1594-1605, December.
    26. Durán, Guillermo & Guajardo, Mario & Sauré, Denis, 2017. "Scheduling the South American Qualifiers to the 2018 FIFA World Cup by integer programming," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1109-1115.
    27. Dagaev Dmitry & Rudyak Vladimir Yu., 2019. "Seeding the UEFA Champions League participants: evaluation of the reforms," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 15(2), pages 129-140, June.
    28. Klößner Stefan & Becker Martin, 2013. "Odd odds: The UEFA Champions League Round of 16 draw," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 9(3), pages 249-270, September.
    29. Stefan Szymanski, 2010. "The Economic Design of Sporting Contests," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 1, pages 1-78, Palgrave Macmillan.
    30. Wladimir Andreff, 2019. "An Economic Roadmap to the Dark Side of Sport," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03231845, HAL.
    31. Fornwagner, Helena, 2019. "Incentives to lose revisited: The NHL and its tournament incentives," Journal of Economic Psychology, Elsevier, vol. 75(PB).
    32. Wladimir Andreff, 2019. "An Economic Roadmap to the Dark Side of Sport," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03231891, HAL.
    33. Gold Adam M, 2010. "NHL Draft Order Based on Mathematical Elimination," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 6(1), pages 1-14, January.
    34. Roberto Gásquez & Vicente Royuela, 2016. "The Determinants of International Football Success: A Panel Data Analysis of the Elo Rating," Social Science Quarterly, Southwestern Social Science Association, vol. 97(2), pages 125-141, June.
    35. Kjetil K. Haugen & Alex Krumer, 2021. "On the importance of tournament design in sports management: Evidence from the UEFA Euro 2020 qualification," Chapters, in: Vanessa Ratten (ed.), Innovation and Entrepreneurship in Sport Management, chapter 3, pages 22-35, Edward Elgar Publishing.
    36. Guy Elaad & Alex Krumer & Jeffrey Kantor, 2018. "Corruption and Sensitive Soccer Games: Cross-Country Evidence," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 34(3), pages 364-394.
    37. Wladimir Andreff, 2019. "An Economic Roadmap to the Dark Side of Sport," Post-Print hal-03231845, HAL.
    38. Itf, 2020. "Shared Mobility Simulations for Lyon," International Transport Forum Policy Papers 74, OECD Publishing.
    39. Waldemar Stronka, 2020. "Anti-Tanking Pair Matching before an Elimination Phase of a Two-Phase Tournament," Economies, MDPI, vol. 8(3), pages 1-13, August.
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    Cited by:

    1. Ritxar Arlegi & Dinko Dimitrov, 2023. "League competitions and fairness," Journal of Combinatorial Optimization, Springer, vol. 45(4), pages 1-18, May.
    2. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Broadcasting revenue sharing after cancelling sports competitions," Annals of Operations Research, Springer, vol. 328(2), pages 1213-1238, September.
    3. Csató, László, 2023. "How to avoid uncompetitive games? The importance of tie-breaking rules," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1260-1269.
    4. László Csató, 2022. "How to design a multi-stage tournament when some results are carried over?," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(3), pages 683-707, September.
    5. L'aszl'o Csat'o & L'aszl'o Marcell Kiss & Zsombor Sz'adoczki, 2023. "The allocation of FIFA World Cup slots based on the ranking of confederations," Papers 2310.19100, arXiv.org, revised Jan 2024.
    6. Csató László, 2022. "The effects of draw restrictions on knockout tournaments," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 18(4), pages 227-239, December.
    7. Guajardo, Mario & Krumer, Alex, 2023. "Format and schedule proposals for a FIFA World Cup with 12 four-team groups," Discussion Papers 2023/2, Norwegian School of Economics, Department of Business and Management Science.
    8. Lapré Michael A. & Palazzolo Elizabeth M., 2023. "The evolution of seeding systems and the impact of imbalanced groups in FIFA Men’s World Cup tournaments 1954–2022," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 19(4), pages 317-332, December.

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