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Evolutionarily Stable Strategies in Sports Contests

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  • Martin Grossmann

    (Department of Business Administration, University of Zurich)

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 0149, University of Zurich, Institute for Strategy and Business Economics (ISU).
  • Handle: RePEc:iso:wpaper:0149
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    References listed on IDEAS

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    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.
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    12. 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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    Cited by:

    1. Marc Rohde & Christoph Breuer, 2016. "Europe’s Elite Football: Financial Growth, Sporting Success, Transfer Investment, and Private Majority Investors," IJFS, MDPI, vol. 4(2), pages 1-20, June.
    2. Marc Rohde & Christoph Breuer, 2018. "Competing by investments or efficiency? Exploring financial and sporting efficiency of club ownership structures in European football," Sport Management Review, Taylor & Francis Journals, vol. 21(5), pages 563-581, December.
    3. Aloys L. Prinz, 2019. "Indirect Evolution and Aggregate-Taking Behavior in a Football League: Utility Maximization, Profit Maximization, and Success," Games, MDPI, vol. 10(2), pages 1-12, May.

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    More about this item

    Keywords

    Contest; evolutionary stable strategies; utility maximization; team sports league;
    All these keywords.

    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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