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Dominance Criteria on Grids for Measuring Seasonal Competitive Imbalance in Sports Leagues

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  • Marc Dubois

    (RQMP - Regroupement Québécois sur les Matériaux de Pointe - EPM - École Polytechnique de Montréal - UdeS - Université de Sherbrooke - McGill University = Université McGill [Montréal, Canada] - UdeM - Université de Montréal - FQRNT - Fonds Québécois de Recherche sur la Nature et les Technologies)

Abstract

The paper proposes a dominance criterion that assesses whether a seasonal outcome of a sports league is more imbalanced than another. This criterion, known as downward seasonal balance (DSB), is proposed as a strategy to measure competitive imbalance when the Lorenz criterion is inconclusive. The DSB criterion places at least as much emphasis on competitive imbalance between leading competitors as on imbalance occurring among the non-leading competitors. DSB is a novel third-order stochastic dominance defined on finite sets of evenly spaced seasonal points (seasonal grids). An empirical application provides comparisons of seasonal outcomes of the five most competitive soccer leagues in Europe.

Suggested Citation

  • Marc Dubois, 2020. "Dominance Criteria on Grids for Measuring Seasonal Competitive Imbalance in Sports Leagues," Working Papers hal-02617635, HAL.
    • Handle: RePEc:hal:wpaper:hal-02617635
    Note: View the original document on HAL open archive server: https://hal.science/hal-02617635
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    References listed on IDEAS

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    Keywords

    Competitive imbalance; Grids; Lorenz criterion; Stochastic dominance;
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