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A head-count measure of rank mobility and its directional decomposition

Author

Listed:
  • Walter Bossert

    (University of Montreal, Canada)

  • Burak Can

    (Maastricht University, The Netherlands)

  • Conchita D'Ambrosio

    (University of Luxembourg, Luxembourg)

Abstract

We propose and characterize a new measure of rank mobility. The index is given by the head count of those whose positions change in the move from one period to the next divided by population size. The interpretation of this head-count ratio is straightforward and intuitive. In addition, we illustrate how the measure can be decomposed into an index of upwards mobility and an index of downwards mobility. The axioms used in our characterization results are appealing and easy to justify.

Suggested Citation

  • Walter Bossert & Burak Can & Conchita D'Ambrosio, 2016. "A head-count measure of rank mobility and its directional decomposition," Working Papers 424, ECINEQ, Society for the Study of Economic Inequality.
    • Handle: RePEc:inq:inqwps:ecineq2016-424
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    File URL: http://www.ecineq.org/milano/WP/ECINEQ2016-424.pdf
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    References listed on IDEAS

    as
    1. Can, Burak & Storcken, Ton, 2018. "A re-characterization of the Kemeny distance," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 112-116.
    2. D'Agostino, Marcello & Dardanoni, Valentino, 2009. "The measurement of rank mobility," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1783-1803, July.
    3. Anthony B Atkinson & François Bourguignon, 2014. "Handbook of Income Distribution," Post-Print halshs-02923231, HAL.
    4. Walter Bossert & Burak Can & Conchita D’Ambrosio, 2016. "Measuring rank mobility with variable population size," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 917-931, April.
    5. Martin Nybom & Jan Stuhler, 2017. "Biases in Standard Measures of Intergenerational Income Dependence," Journal of Human Resources, University of Wisconsin Press, vol. 52(3), pages 800-825.
    6. Raj Chetty & Nathaniel Hendren & Patrick Kline & Emmanuel Saez, 2014. "Where is the land of Opportunity? The Geography of Intergenerational Mobility in the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1553-1623.
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    More about this item

    Keywords

    Rank mobility; directional mobility; decomposability.;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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