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Measuring rank mobility with variable population size

Author

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  • Walter Bossert

    (University of Montreal)

  • Burak Can

    (Maastricht University)

  • Conchita D’Ambrosio

    (INSIDE, University of Luxembourg)

Abstract

We provide a characterization of a class of rank-mobility measures. These measures generalize the Kemeny measure that is well-known from the literature on measuring the distance between orderings. We use replication invariance 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. Journal of Economic Literature Classification No.: D63.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:46:y:2016:i:4:d:10.1007_s00355-015-0942-z
    DOI: 10.1007/s00355-015-0942-z
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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. Frank A. Cowell & Emmanuel Flachaire, 2018. "Measuring mobility," Quantitative Economics, Econometric Society, vol. 9(2), pages 865-901, July.
    3. 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.
    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. Anthony B Atkinson & François Bourguignon, 2014. "Handbook of Income Distribution," Post-Print halshs-02923231, HAL.
    6. 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).
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    Cited by:

    1. 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.
    2. Bhattacharya, Mihir & Gravel, Nicolas, 2021. "Is the preference of the majority representative ?," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 87-94.
    3. Saeideh Babashahi & Paul Hansen & Ronald Peeters, 2023. "External validity of multi-criteria preference data obtained from non-random sampling: measuring cohesiveness within and between groups," Annals of Operations Research, Springer, vol. 325(2), pages 939-949, June.
    4. 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.
    5. 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.
    6. 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).
    7. 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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