An axiomatic characterization of a class of rank mobility measures

Roberto Ghiselli Ricci ()
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Roberto Ghiselli Ricci: Universitá di Ferrara

Social Choice and Welfare, 2019, vol. 52, issue 4, No 8, 753-785

Abstract: 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.

Date: 2019
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DOI: 10.1007/s00355-018-01171-5

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