Decathlon rules: an axiomatic approach
Résumé
It has been shown that the current IAAF decathlon scoring tables involve some bias. Westera has already shown how to improve fairness in decathlon rules and he has proposed new scoring rules in order to improve equity between the events. As in the actual scoring system, the scoring rules suggested by Westera depend on some parameters. In all these systems the parameters are difficult to choose. Indeed, different arguments give different values for the parameters. Then, a natural question arises: Are these parameters mandatory to obtain a fair ranking between the athletes? In this article we show that the answer to this question is no. Furthermore, we show that if we want a ranking method satisfying four natural fairness axioms then this ranking method is unique. Moreover, this ranking method is easy to perform in practice.
Domaines
Mathématiques générales [math.GM]Origine | Fichiers produits par l'(les) auteur(s) |
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