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An axiomatic characterization of a class of rank mobility measures

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  • Roberto Ghiselli Ricci

    (Universitá di Ferrara)

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 $$\rho $$ ρ 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.

Suggested Citation

  • Roberto Ghiselli Ricci, 2019. "An axiomatic characterization of a class of rank mobility measures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 753-785, April.
    • Handle: RePEc:spr:sochwe:v:52:y:2019:i:4:d:10.1007_s00355-018-01171-5
    DOI: 10.1007/s00355-018-01171-5
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