Decathlon Rules: An axiomatic approach

Authors

  • Guillaume Chèze Institut de Mathématiques de Toulouse

Keywords:

Decathlon, rules, fairness, ranking, axioms

Abstract

It has been shown that the current IAAF decathlon scoring tables involve certain biases. In the current scoring system, scoring rules
depend on specific parameters. These parameters are difficult to define. Indeed, different arguments give different values for the
parameters. Then, an obvious question arises: are these parameters mandatory to obtain a fair ranking between the athletes? This article
will show that the answer to this question is no.
It will equally prove 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 apply.

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Published

2021-04-02