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Partial Ordering of Unpredictable Mobility with Welfare Implications

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  • DANNY BEN‐SHAHAR
  • EYAL SULGANIK

Abstract

We propose a partial ordering of ‘unpredictable mobility’ in the spirit of Blackwell's ordering of information structures. The proposed ordering ranks mobility matrices according to the degree to which elements in a given set are likely to move from one state to another, independently of their origin. Furthermore, for an important class of transition structures, our proposed ordering implies ordering, thus carrying significant welfare implications. Moreover, whenever it exists, our partial ordering functions as a sufficient condition for a class of renowned mobility measures and thereby generates, for a subset of transition matrices, unanimous ranking among mobility indices that are not generally consistent with one another.

Suggested Citation

  • Danny Ben‐Shahar & Eyal Sulganik, 2008. "Partial Ordering of Unpredictable Mobility with Welfare Implications," Economica, London School of Economics and Political Science, vol. 75(299), pages 592-604, August.
  • Handle: RePEc:bla:econom:v:75:y:2008:i:299:p:592-604
    DOI: 10.1111/j.1468-0335.2007.00636.x
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    References listed on IDEAS

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    1. Keilson, Julian & Kester, Adri, 1977. "Monotone matrices and monotone Markov processes," Stochastic Processes and their Applications, Elsevier, vol. 5(3), pages 231-241, July.
    2. Sulganik, Eyal, 1995. "On the structure of Blackwell's equivalence classes of information systems," Mathematical Social Sciences, Elsevier, vol. 29(3), pages 213-223, June.
    3. Simon C. Parker & Jonathan Rougier, 2001. "Measuring Social Mobility as Unpredictability," Economica, London School of Economics and Political Science, vol. 68(269), pages 63-76, February.
    4. 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.
    5. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
    6. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-1024, September.
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    Cited by:

    1. John Creedy & Elin Halvorsen & Thor O. Thoresen, 2013. "Inequality Comparisons In A Multi-Period Framework: The Role Of Alternative Welfare Metrics," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(2), pages 235-249, June.
    2. Danny Ben-Shahar & Eyal Sulganik, 2011. "Vacancy chains and the degree of mobility in the housing market," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 47(3), pages 569-583, December.
    3. John Creedy & Elin Halvorsen & Thor O. Thoresen, 2013. "Inequality Comparisons In A Multi-Period Framework: The Role Of Alternative Welfare Metrics," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(2), pages 235-249, June.

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