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The Measurement of Rank Mobility

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  • Valentino Dardanoni

    (Università di Palermo)

  • Marcello D’Agostino

    (Università di Ferrara)

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.

Suggested Citation

  • Valentino Dardanoni & Marcello D’Agostino, 2007. "The Measurement of Rank Mobility," Working Papers 80, ECINEQ, Society for the Study of Economic Inequality.
    • Handle: RePEc:inq:inqwps:ecineq2007-80
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    File URL: http://www.ecineq.org/milano/WP/ECINEQ2007-80.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    Mobility measurement; Concordance; Partial matrices; Sperman's index.;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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