The measurement of rank mobility

D'Agostino, Marcello and Valentino Dardanoni

Journal of Economic Theory, 2009, vol. 144, issue 4, pages 1783-1803

Abstract: In this paper we investigate the problem of measuring social mobility when the social status of individuals is given by their rank. In order to sensibly represent the rank mobility of subgroups within a given society, we address the problem in terms of partial permutation matrices which include standard ("global") matrices as a special case. We first provide a characterization of a partial ordering on partial matrices which, in the standard case of global matrices, coincides with the well-known "concordance" ordering. We then provide a characterization of an index of rank mobility based on partial matrices and show that, in the standard case of comparing global matrices, it is equivalent to Spearman's [rho] index.

Keywords: Rank; mobility; Mobility; measurement; Concordance; Partial; matrices; Spearman's; index (search for similar items in EconPapers)
Date: 2009

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Persistent link: http://EconPapers.repec.org/RePEc:eee:jetheo:v:144:y:2009:i:4:p:1783-1803

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