IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v52y2019i4d10.1007_s00355-018-01171-5.html
   My bibliography  Save this article

An axiomatic characterization of a class of rank mobility measures

Author

Listed:
  • Roberto Ghiselli Ricci

    (Universitá di Ferrara)

Abstract

In this paper we provide an axiomatic characterization of a total preorder for assessing the mobility associated with any pair of rankings relative to a same group by means of a new class of rank-mobility measures. These measures constitute a strong generalization of Spearman’s $$\rho $$ ρ index. The problem of dealing with mobility of subgroups, which is a pressing issue in several and various applicative contexts ranging from the use of socio-economic indicators to information retrieval, is addressed in terms of partial permutations which include standard permutations as a special case. Literature is lacking in a theoretical discussion for comparing mobility of variable-size subgroups: we show that our axiomatic approach fills this gap.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:52:y:2019:i:4:d:10.1007_s00355-018-01171-5
    DOI: 10.1007/s00355-018-01171-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00355-018-01171-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00355-018-01171-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Wade D. Cook & Lawrence M. Seiford, 1978. "Priority Ranking and Consensus Formation," Management Science, INFORMS, vol. 24(16), pages 1721-1732, December.
    2. 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.
    3. Javier Ruiz-Castillo, 2004. "The measurement of structural and exchange income mobility," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(3), pages 219-228, September.
    4. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 77-102.
    5. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
    6. D'Agostino, Marcello & Dardanoni, Valentino, 2009. "The measurement of rank mobility," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1783-1803, July.
    7. Dowrick, Steve & Dunlop, Yvonne & Quiggin, John, 2003. "Social indicators and comparisons of living standards," Journal of Development Economics, Elsevier, vol. 70(2), pages 501-529, April.
    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. Foster, James E & Shorrocks, Anthony F, 1991. "Subgroup Consistent Poverty Indices," Econometrica, Econometric Society, vol. 59(3), pages 687-709, May.
    10. Iñaki Permanyer, 2012. "Uncertainty and robustness in composite indices rankings," Oxford Economic Papers, Oxford University Press, vol. 64(1), pages 57-79, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Joachim Jarreau, 2015. "The Impact of Naturalizations on Job Mobility and Wages: Evidence from France," AMSE Working Papers 1508, Aix-Marseille School of Economics, France.
    2. Markus Jäntti & Stephen P. Jenkins, 2013. "Income Mobility," SOEPpapers on Multidisciplinary Panel Data Research 607, DIW Berlin, The German Socio-Economic Panel (SOEP).
    3. C. Schluter & D. Van De Gaer, 2008. "Structural Mobility, Exchange Mobility and Subgroup Consistent Mobility Measurement – US–German Mobility Measurements Revisited," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 08/543, Ghent University, Faculty of Economics and Business Administration.
    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. Chattopadhyay, Nachiketa & Sengupta, Debasis, 2020. "Individual, Structural and Exchange Mobility: Decomposition and Axiom based measures," SocArXiv 8m46u, Center for Open Science.
    6. Satya R. Chakravarty & Nachiketa Chattopadhyay & Nora Lustig & Rodrigo Aranda, 2020. "Measuring Directional Mobility: The Bartholomew and Prais-Bibby Indices Reconsidered," Research on Economic Inequality, in: Inequality, Redistribution and Mobility, volume 28, pages 75-96, Emerald Group Publishing Limited.
    7. Yoram Amiel & Michele Bernasconi & Frank Cowell & Valentino Dardanoni, 2015. "Do we value mobility?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 231-255, February.
    8. VAN KERM Philippe, 2006. "Comparisons of income mobility profiles," IRISS Working Paper Series 2006-03, IRISS at CEPS/INSTEAD.
    9. Rolf Aaberge & Magne Mogstad, 2009. "On the Measurement of Long-Term Income Inequality and Income Mobility," ICER Working Papers 09-2009, ICER - International Centre for Economic Research.
    10. Kai-yuen Tsui, 2009. "Measurement of income mobility: a re-examination," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(4), pages 629-645, November.
    11. 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.
    12. Marcello D’Agostino & Valentino Dardanoni, 2009. "What’s so special about Euclidean distance?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 211-233, August.
    13. Chiara Gigliarano & Francesco Chelli, 2016. "Measuring inter-temporal intragenerational mobility: an application to the Italian labour market," Quality & Quantity: International Journal of Methodology, Springer, vol. 50(1), pages 89-102, January.
    14. Thomas Demuynck & Dirk Van de gaer, 2012. "Inequality Adjusted Income Growth," Economica, London School of Economics and Political Science, vol. 79(316), pages 747-765, October.
    15. VAN KERM Philippe, 2003. "What Lies Behind Income Mobility? Reranking and Distributional Change in Belgium, Western Germany and the USA," IRISS Working Paper Series 2003-03, IRISS at CEPS/INSTEAD.
    16. Sean Higgins & Nora Lustig, 2015. "Can Poverty-Reducing and Progressive Tax and Transfer System Hurt the Poor?," Commitment to Equity (CEQ) Working Paper Series 1333, Tulane University, Department of Economics.
    17. Robert Aebi & Klaus Neusser & Peter Steiner, 2006. "A Large Deviation Approach to the Measurement of Mobility," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 142(II), pages 195-222, June.
    18. Higgins, Sean & Lustig, Nora, 2016. "Can a poverty-reducing and progressive tax and transfer system hurt the poor?," Journal of Development Economics, Elsevier, vol. 122(C), pages 63-75.
    19. Yélé Maweki Batana & Jean-Yves Duclos, 2010. "Testing for Mobility Dominance," Cahiers de recherche 1002, CIRPEE.
    20. Baochun Peng & Haidong Yuan, 2021. "Dynamic Fairness: Mobility, Inequality, and the Distribution of Prospects," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(4), pages 1314-1338, October.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sochwe:v:52:y:2019:i:4:d:10.1007_s00355-018-01171-5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.