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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
    as

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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. 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.
    2. Anthony B Atkinson & François Bourguignon, 2014. "Handbook of Income Distribution," PSE-Ecole d'économie de Paris (Postprint) halshs-02923231, HAL.
    3. 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.
    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. 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.
    6. Can, Burak & Storcken, Ton, 2018. "A re-characterization of the Kemeny distance," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 112-116.
    Full references (including those not matched with items on IDEAS)

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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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