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The Measurement of Rank Mobility

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Author Info

  • 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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Bibliographic Info

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
Date of revision:
Handle: RePEc:inq:inqwps:ecineq2007-80

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Web page: http://www.ecineq.org
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Keywords: Mobility measurement; Concordance; Partial matrices; Sperman's index.;

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References

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  1. Maasoumi, Esfandiar & Zandvakili, Sourushe, 1986. "A class of generalized measures of mobility with applications," Economics Letters, Elsevier, vol. 22(1), pages 97-102.
  2. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
  3. 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.
  4. Peter Gottschalk & Enrico Spolaore, 1998. "On the Evaluation of Economic Mobility," Boston College Working Papers in Economics 407., Boston College Department of Economics.
  5. Javier Ruiz-Castillo, 2004. "The measurement of structural and exchange income mobility," Journal of Economic Inequality, Springer, vol. 2(3), pages 219-228, September.
  6. 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.
  7. Juan Dubra & Fabio Maccheroni & Efe Oki, 2001. "Expected utility theory without the completeness axiom," ICER Working Papers - Applied Mathematics Series 11-2001, ICER - International Centre for Economic Research.
  8. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer, vol. 12(1), pages 77-102.
  9. Foster, James E & Shorrocks, Anthony F, 1991. "Subgroup Consistent Poverty Indices," Econometrica, Econometric Society, vol. 59(3), pages 687-709, May.
  10. 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.
  11. 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.
  12. 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, December.
  13. Cowell, Frank A, 1985. "Measures of Distributional Change: An Axiomatic Approach," Review of Economic Studies, Wiley Blackwell, vol. 52(1), pages 135-51, January.
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Citations

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Cited by:
  1. Frank A. Cowell & Emmanuel Flachaire, 2011. "Measuring Mobility," Working Papers halshs-00586269, HAL.
  2. Jenderny, Katharina, 2013. "Mobility of top incomes in Germany," Discussion Papers 2013/7, Free University Berlin, School of Business & Economics.
  3. Markus Jantti & Stephen P. Jenkins, 2014. "Income Mobility," Working Papers 319, ECINEQ, Society for the Study of Economic Inequality.
  4. Van Kerm, Philippe, 2006. "Comparisons of income mobility profiles," IRISS Working Paper Series 2006-03, IRISS at CEPS/INSTEAD.
  5. Rolf Aaberge & Magne Mogstad, 2009. "On the Measurement of Long-Term Income Inequality and Income Mobility," ICER Working Papers 09-2009, ICER - International Centre for Economic Research.
  6. Chiara Gigliarano, 2013. "Measuring Labour Market Inter-Temporal Mobility In Italy: Theory And Evidence," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - Italian Review of Economics, Demography and Statistics, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 0(2), pages 139-153, April-Jun.
  7. Yoram Amiel & Michele Bernasconi & Michele Bernasconi & Frank A Cowell & Valentino Dardanoni & Valentino Dardanoni, 2013. "Do We Value Mobility?," STICERD - Public Economics Programme Discussion Papers 17, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  8. Decancq, Koen, 2012. "Elementary multivariate rearrangements and stochastic dominance on a Fréchet class," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1450-1459.
  9. Rolf Aaberge & Magne Mogstad, 2014. "Income mobility as an equalizer of permanent income," Discussion Papers 769, Research Department of Statistics Norway.
  10. Kai-yuen Tsui, 2009. "Measurement of income mobility: a re-examination," Social Choice and Welfare, Springer, vol. 33(4), pages 629-645, November.
  11. T. Demuynck & D. Van De Gaer & -, 2010. "Rank Dependent Relative Mobility Measures," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 10/628, Ghent University, Faculty of Economics and Business Administration.

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