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An axiomatization of the iterated h-index and applications to sport rankings

Author

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  • Sylvain Béal

    (Université de Bourgogne Franche-Comté, CRESE)

  • Sylvain Ferrières

    (Université de Bourgogne Franche-Comté, CRESE)

  • Eric Rémila

    (Université de Saint-Etienne, Gate)

  • Phillippe Solal

    (Université de Saint-Etienne, Gate)

Abstract

A variant of the h-index introduced in Garcia-Perez (2009), called the iterated h-index, is studied to evaluate the productivity of scholars. It consists of successive applications of the h-index so as to obtain a vector of h-indices. In particular, the iterated h-index fixes a drawback of the h-index since it allows for (lexicographic) comparisons of scholars with the same h-index. Two types or results are presented. Firstly, we provide an axiomatic characterization of the iterated h-index, which rests on a new axiom of consistency and extensions of axioms in the literature to a richer framework. Secondly, we apply the h-index and iterated h-index to offer alternative sport rankings in tennis, football and basketball. These applications clearly demonstrate that the iterated h-index is much more appropriate than the classical h-index.

Suggested Citation

  • Sylvain Béal & Sylvain Ferrières & Eric Rémila & Phillippe Solal, 2016. "An axiomatization of the iterated h-index and applications to sport rankings," Working Papers 2016-11, CRESE.
    • Handle: RePEc:crb:wpaper:2016-11
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    References listed on IDEAS

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    1. Boczek, Michał & Hovana, Anton & Hutník, Ondrej & Kaluszka, Marek, 2021. "New monotone measure-based integrals inspired by scientific impact problem," European Journal of Operational Research, Elsevier, vol. 290(1), pages 346-357.

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    More about this item

    Keywords

    h-index; iterated h-index; axioms; sports ranking;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • Z20 - Other Special Topics - - Sports Economics - - - General

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