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Social Choice and Welfare

Erschienen in:

05.01.2019 | Original Paper

An axiomatic characterization of a class of rank mobility measures

verfasst von: Roberto Ghiselli Ricci

Erschienen in: Social Choice and Welfare | Ausgabe 4/2019

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Abstract

In this paper we provide an axiomatic characterization of a total preorder for assessing the mobility associated with any pair of rankings relative to a same group by means of a new class of rank-mobility measures. These measures constitute a strong generalization of Spearman’s \(\rho \) index. The problem of dealing with mobility of subgroups, which is a pressing issue in several and various applicative contexts ranging from the use of socio-economic indicators to information retrieval, is addressed in terms of partial permutations which include standard permutations as a special case. Literature is lacking in a theoretical discussion for comparing mobility of variable-size subgroups: we show that our axiomatic approach fills this gap.

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Moreover, as first noticed by Permanyer in Permanyer (2012), the normalization factor they use is incorrect.

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Titel: An axiomatic characterization of a class of rank mobility measures
verfasst von: Roberto Ghiselli Ricci
Publikationsdatum: 05.01.2019
Verlag: Springer Berlin Heidelberg
Erschienen in: Social Choice and Welfare / Ausgabe 4/2019
Print ISSN: 0176-1714
Elektronische ISSN: 1432-217X
DOI: https://doi.org/10.1007/s00355-018-01171-5

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