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Pairwise contests: wins, losses, and strength

Author

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  • Carmen Herrero

    (Department of Economics, Universidad de Alicante;)

  • Antonio Villar

    (Department of Economics, Universidad Pablo de Olavide & ISEAK)

Abstract

Sports competitions represent an interesting family of evaluation problems involving pairwise comparisons. In this context, the alternatives are contending teams, and the comparison is made in terms of outcomes. Different evaluation protocols have been proposed in the literature, aimed at getting more robust estimates of the teams’ worth or better predictions of their future achievements. We present here a new evaluation protocol that can be described in two steps. First, we modify the teams’ outcomes by introducing a penalty function that ponders the points accrued by the points lost. This step already produces an interesting evaluation procedure, the relative performance rule (the ratio between points won and points lost). Second, we define a new procedure that also considers the strength of the teams in the evaluation. We call this new evaluation protocol the relative strength rule.

Suggested Citation

  • Carmen Herrero & Antonio Villar, 2022. "Pairwise contests: wins, losses, and strength," Working Papers 22.11, Universidad Pablo de Olavide, Department of Economics.
  • Handle: RePEc:pab:wpaper:22.11
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    References listed on IDEAS

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    1. Albarrán, Pedro & Herrero, Carmen & Ruiz-Castillo, Javier & Villar, Antonio, 2017. "The Herrero-Villar approach to citation impact," Journal of Informetrics, Elsevier, vol. 11(2), pages 625-640.
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    More about this item

    Keywords

    sports competitions; pairwise comparisons; tournaments; dominant eigenvector; win-loss; strength; Premier League.;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • Z19 - Other Special Topics - - Cultural Economics - - - Other

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