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Measuring Directional Mobility: The Bartholomew and Prais-Bibby Indices Reconsidered

Author

Listed:
  • Satya R. Chakravarty

    () (Economic Research Unit, Indian Statistical Institute)

  • Nachiketa Chattopadhyay

    () (Statistics and Mathematics Division, Indian Statistical Institute)

  • Nora Lustig

    () (Department of Economics, Tulane University)

  • Rodrigo Aranda Balcazar

    () (Department of Economics, Tulane University)

Abstract

This paper tries to interpret the Bartholomew (1967) index of social mobility in terms of a directional mobility index based on the one-step expected states of movement corresponding to a transition matrix. A partial ordering of monotone transition matrices is proposed using the generalized Lorenz ordering of expected states which can be related to social improvement in terms of the socio-economic attribute under consideration. We also interpret the Prais(1955)-Bibby (1975) mobility index using a Bayesian approach, where the underlying mobility depends on the initial distribution of the states.

Suggested Citation

  • Satya R. Chakravarty & Nachiketa Chattopadhyay & Nora Lustig & Rodrigo Aranda Balcazar, 2017. "Measuring Directional Mobility: The Bartholomew and Prais-Bibby Indices Reconsidered," Working Papers 1720, Tulane University, Department of Economics.
  • Handle: RePEc:tul:wpaper:1720
    as

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    File URL: http://repec.tulane.edu/RePEc/pdf/tul1720.pdf
    File Function: First Version, December 2017
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    References listed on IDEAS

    as
    1. Peter Gottschalk & Enrico Spolaore, 2002. "On the Evaluation of Economic Mobility," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 191-208.
    2. Conlisk, John, 1989. "Ranking mobility matrices," Economics Letters, Elsevier, vol. 29(3), pages 231-235.
    3. Van de Gaer, Dirk & Schokkaert, Erik & Martinez, Michel, 2001. "Three Meanings of Intergenerational Mobility," Economica, London School of Economics and Political Science, vol. 68(272), pages 519-537, November.
    4. D'Agostino, Marcello & Dardanoni, Valentino, 2009. "The measurement of rank mobility," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1783-1803, July.
    5. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
    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. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    8. John Bibby, 1975. "Methods of measuring mobility," Quality & Quantity: International Journal of Methodology, Springer, vol. 9(2), pages 107-136, June.
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    12. Gary Fields, 2010. "Does income mobility equalize longer-term incomes? New measures of an old concept," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 409-427, December.
    13. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
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    More about this item

    Keywords

    social mobility; intergenerational mobility; monotonicity; Bayesian analysis;

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • J62 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Job, Occupational and Intergenerational Mobility; Promotion

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