IDEAS home Printed from https://ideas.repec.org/a/bla/buecrs/v75y2023i2p312-322.html
   My bibliography  Save this article

Notes on the postulate of the monotonicity in distance in inequality

Author

Listed:
  • Satya R. Chakravarty
  • Palash Sarkar

Abstract

In this paper, we strengthen Cowell and Flachaire's observation regarding the failure to satisfy Cowell's “monotonicity in distance” postulate by several well‐known inequality indices. We also identify a general analytical reason for this failure to arise.

Suggested Citation

  • Satya R. Chakravarty & Palash Sarkar, 2023. "Notes on the postulate of the monotonicity in distance in inequality," Bulletin of Economic Research, Wiley Blackwell, vol. 75(2), pages 312-322, April.
    • Handle: RePEc:bla:buecrs:v:75:y:2023:i:2:p:312-322
    DOI: 10.1111/boer.12357
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/boer.12357
    Download Restriction: no
    File URL: https://libkey.io/10.1111/boer.12357?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
    ---><---

    References listed on IDEAS

    as
    1. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    2. Elena Bárcena-Martin & Jacques Silber, 2013. "On the generalization and decomposition of the Bonferroni index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 763-787, October.
    3. Frank A. Cowell & Emmanuel Flachaire, 2017. "Inequality with Ordinal Data," Economica, London School of Economics and Political Science, vol. 84(334), pages 290-321, April.
    4. Frank A Cowell & Emmanuel Flachaire, 2018. "Inequality Measurement and the Rich: Why inequality increased more than we thought," STICERD - Public Economics Programme Discussion Papers 36, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    5. Frank A. Cowell, 1985. "Measures of Distributional Change: An Axiomatic Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 135-151.
    6. Chakravarty, Satya Ranjan & Dutta, Bhaskar, 1987. "A note on measures of distance between imcome distributions," Journal of Economic Theory, Elsevier, vol. 41(1), pages 185-188, February.
    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. Chakravarty, Satya R. & Sarkar, Palash, 2022. "A synthesis of local and effective tax progressivity measurement," MPRA Paper 115180, University Library of Munich, Germany.
    2. Satya R. Chakravarty & Palash Sarkar, 2023. "New perspectives on the Gini and Bonferroni indices of inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 47-64, January.
    3. Satya R. Chakravarty & Palash Sarkar, 2021. "Designing income distributions with specified inequalities," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 297-311, October.
    4. Satya R. Chakravarty & Palash Sarkar, 2021. "An inequality paradox: relative versus absolute indices?," METRON, Springer;Sapienza Università di Roma, vol. 79(2), pages 241-254, August.
    5. Flaviana Palmisano, 2018. "Evaluating Patterns of Income Growth when Status Matters: A Robust Approach," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(1), pages 147-169, March.
    6. 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.
    7. 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.
    8. Yalonetzky, Gaston, 2012. "Measuring group disadvantage with inter-distributional inequality indices: A critical review and some amendments to existing indices," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 6, pages 1-32.
    9. Satya R. Chakravarty & Rama Pal & Rupayan Pal & Palash Sarkar, 2022. "Minimum inequality taxation, average and minimally progressive taxations and depolarization," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2022-010, Indira Gandhi Institute of Development Research, Mumbai, India.
    10. Van Kerm, Philippe, 2006. "Comparisons of income mobility profiles," ISER Working Paper Series 2006-36, Institute for Social and Economic Research.
    11. Elena Bárcena-Martin & Jacques Silber, 2017. "The Bonferroni index and the measurement of distributional change," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 1-16, April.
    12. I. Josa & A. Aguado, 2020. "Measuring Unidimensional Inequality: Practical Framework for the Choice of an Appropriate Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(2), pages 541-570, June.
    13. Nicholas Rohde, 2016. "J-divergence measurements of economic inequality," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 179(3), pages 847-870, June.
    14. Dirk Van de gaer & Michel Martinez & Erik Schokkaert, 1998. "Measuring Intergenerational Mobility and Equality of Opportunity," Working Papers of Department of Economics, Leuven ces9810, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    15. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2009. "A characterization of the 2-additive Choquet integral through cardinal information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445132, HAL.
    16. Francesco Andreoli & Arnaud Lefranc, 2013. "Equalization of opportunity: Definitions and implementable conditions," Working Papers 310, ECINEQ, Society for the Study of Economic Inequality.
    17. Alain Chateauneuf & Patrick Moyes, 2005. "Lorenz non-consistent welfare and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 61-87, January.
    18. Ayala, Luis & Sastre, Mercedes, 2002. "What determines income mobility differences across the European Union?," ISER Working Paper Series 2002-27, Institute for Social and Economic Research.
    19. Bleichrodt, Han & Rohde, Kirsten I.M. & Van Ourti, Tom, 2012. "An experimental test of the concentration index," Journal of Health Economics, Elsevier, vol. 31(1), pages 86-98.
    20. Toru Kitagawa & Aleksey Tetenov, 2021. "Equality-Minded Treatment Choice," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 39(2), pages 561-574, March.

    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:bla:buecrs:v:75:y:2023:i:2:p:312-322. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0307-3378 .

    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.