The Measurement of Rank Mobility
Valentino Dardanoni () and
Marcello D’Agostino
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Marcello D’Agostino: Università di Ferrara
No 80, Working Papers from ECINEQ, Society for the Study of Economic Inequality
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 two global matrices, it is equivalent to Spearman’s index.
Keywords: Mobility measurement; Concordance; Partial matrices; Sperman's index. (search for similar items in EconPapers)
JEL-codes: D31 D63 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2007
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)
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Journal Article: The measurement of rank mobility (2009) 
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