IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-01837118.html
   My bibliography  Save this paper

A note on the normative content of the Atkinson inequality aversion parameter

Author

Listed:
  • Marc Dubois

    (MRE - Montpellier Recherche en Economie - UM - Université de Montpellier, UM - Université de Montpellier)

Abstract

The aim of the note is to parametrize necessary and sufficient conditions for the Atkinson social welfare functions to satisfy proportional transfer principles. These social welfare functions satisfy the proportional ex post transfer principle if, and only if, the inequality aversion parameter is no smaller than 1. Moreover, these social welfare functions satisfy the proportional transfer principle if, and only if, the inequality aversion parameter is greater than 2. The results are illustrated with French data.

Suggested Citation

  • Marc Dubois, 2016. "A note on the normative content of the Atkinson inequality aversion parameter," Post-Print hal-01837118, HAL.
    • Handle: RePEc:hal:journl:hal-01837118
    Note: View the original document on HAL open archive server: https://hal.umontpellier.fr/hal-01837118
    as

    Download full text from publisher

    File URL: https://hal.umontpellier.fr/hal-01837118/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kevin W. S. Roberts, 1980. "Interpersonal Comparability and Social Choice Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 421-439.
    2. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    4. Fleurbaey, Marc & Michel, Philippe, 2001. "Transfer principles and inequality aversion, with an application to optimal growth," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 1-11, July.
    5. Blackorby, Charles & Donaldson, David, 1982. "Ratio-Scale and Translation-Scale Full Interpersonal Comparability without Domain Restrictions: Admissible Social-Evaluation Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 249-268, June.
    6. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Marc Dubois, 2019. "Unnested Aversion to s-th Degree Inequality," Economics Bulletin, AccessEcon, vol. 39(4), pages 2374-2380.
    2. Marc Fleurbaey & Eduardo Zambrano, 2024. "Protected Income and Inequality Aversion," Papers 2408.04814, arXiv.org, revised Aug 2024.

    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. Gravel, Nicolas & Poitevin, Michel, 2006. "The progressivity of equalization payments in federations," Journal of Public Economics, Elsevier, vol. 90(8-9), pages 1725-1743, September.
    2. Kelly Maguire & Glenn Sheriff, 2011. "Comparing Distributions of Environmental Outcomes for Regulatory Environmental Justice Analysis," IJERPH, MDPI, vol. 8(5), pages 1-20, May.
    3. Walter Bossert & Kohei Kamaga, 2020. "An axiomatization of the mixed utilitarian–maximin social welfare orderings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 451-473, March.
    4. Udo Ebert & Patrick Moyes, 2018. "Talents, preferences and income inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 13-50, June.
    5. Gajdos, Thibault & Maurin, Eric, 2004. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," Journal of Economic Theory, Elsevier, vol. 116(1), pages 93-118, May.
    6. 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.
    7. Guido Erreygers & Roselinde Kessels, 2017. "Socioeconomic Status and Health: A New Approach to the Measurement of Bivariate Inequality," IJERPH, MDPI, vol. 14(7), pages 1-23, June.
    8. Jo Thori Lind & Karl Moene, 2011. "Miserly Developments," Journal of Development Studies, Taylor & Francis Journals, vol. 47(9), pages 1332-1352, June.
    9. Matthew Robson & Miqdad Asaria & Richard Cookson & Aki Tsuchiya & Shehzad Ali, 2017. "Eliciting the Level of Health Inequality Aversion in England," Health Economics, John Wiley & Sons, Ltd., vol. 26(10), pages 1328-1334, October.
    10. Teixidó Figueras, Jordi & Duro Moreno, Juan Antonio, 2012. "Ecological Footprint Inequality: A methodological review and some results," Working Papers 2072/203168, Universitat Rovira i Virgili, Department of Economics.
    11. Chakravarty, Satya R. & Sarkar, Palash, 2022. "A synthesis of local and effective tax progressivity measurement," MPRA Paper 115180, University Library of Munich, Germany.
    12. Miguel Niño‐Zarazúa & Laurence Roope & Finn Tarp, 2017. "Global Inequality: Relatively Lower, Absolutely Higher," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(4), pages 661-684, December.
    13. Rolf Aaberge & Magne Mogstad, 2011. "Robust inequality comparisons," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(3), pages 353-371, September.
    14. McNamara, Simon & Tsuchiya, Aki & Holmes, John, 2021. "Does the UK-public's aversion to inequalities in health differ by group-labelling and health-gain type? A choice-experiment," Social Science & Medicine, Elsevier, vol. 269(C).
    15. Marcello Basili & Paulo Casaca & Alain Chateauneuf & Maurizio Franzini, 2017. "Multidimensional Pigou–Dalton transfers and social evaluation functions," Theory and Decision, Springer, vol. 83(4), pages 573-590, December.
    16. 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.
    17. Gerhard Kockläuner, 2013. "Die neuen Indizes des Bericht über die menschliche Entwicklung 2010," AStA Wirtschafts- und Sozialstatistisches Archiv, Springer;Deutsche Statistische Gesellschaft - German Statistical Society, vol. 7(3), pages 121-133, December.
    18. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
    19. Christophe Muller, 2019. "Social Shock Sharing and Stochastic Dominance," AMSE Working Papers 1903, Aix-Marseille School of Economics, France.
    20. Davies, James B. & Hoy, Michael, 2002. "Flat rate taxes and inequality measurement," Journal of Public Economics, Elsevier, vol. 84(1), pages 33-46, April.

    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:hal:journl:hal-01837118. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.