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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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    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. John Bibby, 1975. "Methods of measuring mobility," Quality & Quantity: International Journal of Methodology, Springer, vol. 9(2), pages 107-136, June.
    4. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
    5. Markandya, Anil, 1982. "Intergenerational exchange mobility and economic welfare," European Economic Review, Elsevier, vol. 17(3), pages 307-324.
    6. D'Agostino, Marcello & Dardanoni, Valentino, 2009. "The measurement of rank mobility," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1783-1803, July.
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    8. 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.
    9. Shorrocks, Anthony, 1978. "Income inequality and income mobility," Journal of Economic Theory, Elsevier, vol. 19(2), pages 376-393, December.
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    13. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
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    More about this item

    Keywords

    social mobility; intergenerational mobility; monotonicity; Bayesian analysis;
    All these keywords.

    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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