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Profit vs. win maximization in a league: a paradox

Author

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  • Luc Arrondel

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Richard Duhautois

    (LIRSA - Laboratoire interdisciplinaire de recherche en sciences de l'action - CNAM - Conservatoire National des Arts et Métiers [CNAM])

  • Jean-François Laslier

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

The paper studies a very simple game-theoretical model of sports competition such as the European football leagues. In this oligopoly-type context, the Cournot-Nash equilibrium reveals a paradoxical differentiation between clubs: those that include not only profit but also sporting performance in their objectives end up generating more profit than others who purely maximize profit.

Suggested Citation

  • Luc Arrondel & Richard Duhautois & Jean-François Laslier, 2023. "Profit vs. win maximization in a league: a paradox," PSE Working Papers halshs-04358491, HAL.
    • Handle: RePEc:hal:psewpa:halshs-04358491
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-04358491v1
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    References listed on IDEAS

    as
    1. repec:hal:psewpa:halshs-03962599 is not listed on IDEAS
    2. Simon Rottenberg, 1956. "The Baseball Players' Labor Market," Journal of Political Economy, University of Chicago Press, vol. 64(3), pages 242-242.
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    4. Helmut M. Dietl & Martin Grossmann & Markus Lang, 2011. "Competitive Balance and Revenue Sharing in Sports Leagues With Utility-Maximizing Teams," Journal of Sports Economics, , vol. 12(3), pages 284-308, June.
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    8. Paul Madden & Terry Robinson, 2012. "Supporter Influence on Club Governance in a Sports League; a “Utility Maximization” Model," Scottish Journal of Political Economy, Scottish Economic Society, vol. 59(4), pages 339-360, September.
    9. Pedro Garcia-del-Barrio & Stefan Szymanski, 2009. "Goal! Profit Maximization Versus Win Maximization in Soccer," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 34(1), pages 45-68, February.
    10. Rodney Fort & James Quirk, 1995. "Cross-subsidization, Incentives, and Outcomes in Professional Team Sports Leagues," Journal of Economic Literature, American Economic Association, vol. 33(3), pages 1265-1299, September.
    11. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2020. "Broadcasting La Liga," MPRA Paper 104750, University Library of Munich, Germany.
    12. Luc Arrondel & Jean-Pascal Gayant & Jean-François Laslier, 2023. "Economic analysis of the 12th man: should the fans be paid?," Post-Print halshs-03962599, HAL.
    13. Fershtman, Chaim & Judd, Kenneth L, 1987. "Equilibrium Incentives in Oligopoly," American Economic Review, American Economic Association, vol. 77(5), pages 927-940, December.
    14. Sloane, Peter J, 1971. "The Economics of Professional Football: The Football Club as a Utility Maximiser," Scottish Journal of Political Economy, Scottish Economic Society, vol. 18(2), pages 121-146, June.
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    Keywords

    Cournot-Nash equilibrium; Oligopoly; Sports economics; Football;
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