Profit vs. win maximization in a league: a paradox

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Luc Arrondel et al., « Profit vs. win maximization in a league: a paradox », HAL SHS (Sciences de l’Homme et de la Société), ID : 10670/1.6da91c...


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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.

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