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

Sylvain Béal (), Sylvain Ferrières (), Eric Rémila and Philippe Solal

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Abstract: A variant of the h-index introduced in García-Pérez (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.

Keywords: h-index; iterated h-index; axioms; sports ranking (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth and nep-spo
Date: 2016-10-01
Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-01394818
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