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Measuring rank mobility with variable population size

Author

Listed:
  • Walter Bossert

    (Department of Economics and CIREQ, University of Montreal, Canada)

  • Conchita D'Ambrosio

    (INSIDE, University of Luxembourg, Luxembourg)

Abstract

We provide characterizations of a class of rank-mobility measures and of a specific member of this class. These measures are based on the Kemeny distance for orderings. We use the well-known replication-invariance property to ensure that our measures are applicable in variable-population settings. The rank-based approach to mobility has a natural connection with the study of social status. Rank-based measures are widely applied in empirical research but their theoretical foundation is still in need of further investigation, and we consider our approach to be a contribution towards this objective.

Suggested Citation

  • Walter Bossert & Conchita D'Ambrosio, 2014. "Measuring rank mobility with variable population size," Working Papers 350, ECINEQ, Society for the Study of Economic Inequality.
    • Handle: RePEc:inq:inqwps:ecineq2014-350
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    References listed on IDEAS

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    1. Anthony B Atkinson & François Bourguignon, 2014. "Handbook of Income Distribution," PSE-Ecole d'économie de Paris (Postprint) halshs-02923231, HAL.
    2. Can, Burak & Storcken, Ton, 2018. "A re-characterization of the Kemeny distance," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 112-116.
    3. Frank A. Cowell & Emmanuel Flachaire, 2018. "Measuring mobility," Quantitative Economics, Econometric Society, vol. 9(2), pages 865-901, July.
    4. Christian Schluter & Dirk Van de gaer, 2011. "Upward Structural Mobility, Exchange Mobility, And Subgroup Consistent Mobility Measurement: U.S.–German Mobility Rankings Revisited," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 57(1), pages 1-22, March.
    5. Can, B. & Storcken, A.J.A., 2015. "Comparing orders, rankings, queues, tournaments and lists," Research Memorandum 020, Maastricht University, Graduate School of Business and Economics (GSBE).
    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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    2. Shi, Yongbin & Yu, Miao & Chen, Liujun & Ivanov, Plamen Ch. & Wang, Yougui, 2021. "Quantifying financial market dynamics: Scaling law in rank mobility of Chinese stock prices," Finance Research Letters, Elsevier, vol. 38(C).
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    5. Walter Bossert & Burak Can & Conchita D'Ambrosio, 2018. "A Head‐count Measure of Rank Mobility and its Directional Decomposition," Economica, London School of Economics and Political Science, vol. 85(340), pages 793-807, October.
    6. Elena Bárcena & Olga Cantó, 2018. "A simple subgroup decomposable measure of downward (and upward) income mobility," Working Papers 472, ECINEQ, Society for the Study of Economic Inequality.
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    8. Roberto Ghiselli Ricci, 2019. "An axiomatic characterization of a class of rank mobility measures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 753-785, April.
    9. Dinko Dimitrov & Emiliya A. Lazarova & Shao-Chin Sung, 2016. "Inducing stability in hedonic games," University of East Anglia School of Economics Working Paper Series 2016-09, School of Economics, University of East Anglia, Norwich, UK..

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    JEL classification:

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

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