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Evolutionarily Stable Strategies in Sports Contests

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  • Martin Grossmann

    () (Department of Business Administration, University of Zurich)

Abstract

Abstract: In the recent years, many clubs in the biggest European soccer leagues have run into debts. The sports economic literature provides several explanation for this development, e.g., the league structure (open versus closed league), club constitutions, ruinous rat races between clubs. While the majority of the articles presume the well-known Nash equilibrium concept, I apply evolutionary game theory in a sports contest model. If clubs follow evolutionarily stable strategies (ESS), then ESS generate higher investments and lower profits than predicted by Nash strategies independent of win maximizing or profit maximizing clubs. Overdissipation of the rent is possible for Nash strategies as well as for ESS.

Suggested Citation

  • Martin Grossmann, 2011. "Evolutionarily Stable Strategies in Sports Contests," Working Papers 0044, University of Zurich, Center for Research in Sports Administration (CRSA).
  • Handle: RePEc:rsd:wpaper:0044
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    File URL: http://repec.business.uzh.ch/RePEc/rsd/CRSA_WPS/44_CRSA_full.pdf
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    References listed on IDEAS

    as
    1. Markus Lang & Martin Grossmann & Philipp Theiler, 2011. "The Sugar Daddy Game: How Wealthy Investors Change Competition in Professional Team Sports," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 167(4), pages 557-577, December.
    2. Chung, Tai-Yeong, 1996. "Rent-Seeking Contest When the Prize Increases with Aggregate Efforts," Public Choice, Springer, vol. 87(1-2), pages 55-66, April.
    3. Wolfgang Leininger, 2003. "On evolutionarily stable behavior in contests," Economics of Governance, Springer, vol. 4(3), pages 177-186, November.
    4. Helmut M. Dietl & Egon Franck & Markus Lang, 2008. "Overinvestment In Team Sports Leagues: A Contest Theory Model," Scottish Journal of Political Economy, Scottish Economic Society, vol. 55(3), pages 353-368, July.
    5. Pedro Garcia-del-Barrio & Stefan Szymanski, 2006. "Goal! Profit maximization and win maximization in football leagues," Working Papers 0621, International Association of Sports Economists;North American Association of Sports Economists.
    6. 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.
    7. Stefan Szymanski & Stefan KÈsenne, 2004. "Competitive balance and gate revenue sharing in team sports," Journal of Industrial Economics, Wiley Blackwell, vol. 52(1), pages 165-177, March.
    8. Stefan Kesenne, 2004. "The Win Maximization Model Reconsidered," IASE Conference Papers 0410, International Association of Sports Economists.
    9. Stefan Kesenne, 2000. "Revenue Sharing and Competitive Balance in Professional Team Sports," Journal of Sports Economics, , vol. 1(1), pages 56-65, February.
    10. Martin Grossmann & Helmut M. Dietl, 2009. "Investment Behaviour in a Two-Period Contest Model," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 165(3), pages 401-417, September.
    11. Stefan Szymanski, 2003. "The Economic Design of Sporting Contests," Journal of Economic Literature, American Economic Association, vol. 41(4), pages 1137-1187, December.
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    Cited by:

    1. Marc Rohde & Christoph Breuer, 2016. "Europe’s Elite Football: Financial Growth, Sporting Success, Transfer Investment, and Private Majority Investors," International Journal of Financial Studies, MDPI, Open Access Journal, vol. 4(2), pages 1-20, June.

    More about this item

    Keywords

    Contest; evolutionary stable strategies; utility maximization; team sports league;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Restaurants; Recreation; Tourism

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