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The Measurement of Rank Mobility

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Listed author(s):
  • 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.

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File URL: http://www.ecineq.org/milano/WP/ECINEQ2007-80.pdf
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Paper provided by ECINEQ, Society for the Study of Economic Inequality in its series Working Papers with number 80.

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Length: 21 pages
Date of creation: 2007
Handle: RePEc:inq:inqwps:ecineq2007-80
Contact details of provider: Web page: http://www.ecineq.org
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Keywords: Mobility measurement; Concordance; Partial matrices; Sperman's index.;

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Find related papers by 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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  1. Foster, James E & Shorrocks, Anthony F, 1991. "Subgroup Consistent Poverty Indices," Econometrica, Econometric Society, vol. 59(3), pages 687-709, May.
  2. Peter Gottschalk & Enrico Spolaore, 2002. "On the Evaluation of Economic Mobility," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 191-208.
  3. Javier Ruiz-Castillo, 2004. "The measurement of structural and exchange income mobility," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(3), pages 219-228, September.
  4. King, Mervyn A, 1983. "An Index of Inequality: With Applications to Horizontal Equity and Social Mobility," Econometrica, Econometric Society, vol. 51(1), pages 99-115, January.
  5. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
  6. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 77-102.
  7. Frank A. Cowell, 1985. "Measures of Distributional Change: An Axiomatic Approach," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 135-151.
  8. Gary S. Fields, 2002. "Distribution and Development: A New Look at the Developing World," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262561530, July.
  9. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
  10. Maasoumi, Esfandiar & Zandvakili, Sourushe, 1986. "A class of generalized measures of mobility with applications," Economics Letters, Elsevier, vol. 22(1), pages 97-102.
  11. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975.
  12. Mervyn A. King, 1980. "An Index of Inequality: With Applications to Horizontal Equity and Social Mobility," NBER Working Papers 0468, National Bureau of Economic Research, Inc.
  13. Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
  14. Fields, Gary S. & Ok, Efe A., 1996. "The Meaning and Measurement of Income Mobility," Journal of Economic Theory, Elsevier, vol. 71(2), pages 349-377, November.
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