IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-18-00948.html
   My bibliography  Save this article

Unnested Aversion to s-th Degree Inequality

Author

Listed:
  • Marc Dubois

    (GREDI Université de Sherbrooke)

Abstract

The paper characterizes the necessary and sufficient condition under which additively separable social welfare functions are averse to s-th degree inequality. For s>1, the result states that aversion to (s+1)-th degree inequality is neither a weaker nor a stronger attitude than aversion to s-th degree inequality, hence it is not an extension of the Pigou-Dalton condition. This statement makes room to several attitudes to inequality such as aversion to upside inequality and elitism, among others.

Suggested Citation

  • Marc Dubois, 2019. "Unnested Aversion to s-th Degree Inequality," Economics Bulletin, AccessEcon, vol. 39(4), pages 2374-2380.
  • Handle: RePEc:ebl:ecbull:eb-18-00948
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2019/Volume39/EB-19-V39-I4-P220.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gayant, Jean-Pascal & Le Pape, Nicolas, 2017. "Increasing Nth degree inequality," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 185-189.
    2. 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.
    3. Marc Dubois, 2016. "A note on the normative content of the Atkinson inequality aversion parameter," Post-Print hal-01837118, HAL.
    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. Sakamoto, Norihito & 坂本, 徳仁, 2011. "Impossibilities of Paretian Social Welfare Functions for Infinite Utility Streams with Distributive Equity," Discussion Papers 2011-09, Graduate School of Economics, Hitotsubashi University.
    2. Stéphane Mussard, 2007. "Between-Group Pigou Dalton Transfers," Cahiers de recherche 07-06, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    3. Dirk Van de gaer & Xavier Ramos, 2020. "Measurement of inequality of opportunity based on counterfactuals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 595-627, October.
    4. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2016. "Sustainable Recursive Social Welfare Functions," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 165-190, Springer.
    5. Marc Fleurbaey, 2003. "Social Welfare, Priority to the Worst-Off And the Dimensions of Individual Well-Being," IDEP Working Papers 0312, Institut d'economie publique (IDEP), Marseille, France.
    6. Fleurbaey, Marc & Michel, Philippe, 2003. "Intertemporal equity and the extension of the Ramsey criterion," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 777-802, September.
    7. Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu, 2008. "Continuity and egalitarianism in the evaluation of infinite utility streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 179-191, August.
    8. Christophe Muller, 2019. "Social Shock Sharing and Stochastic Dominance," Working Papers halshs-02005735, HAL.
    9. Dubois, Marc, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 1-10.
    10. Uberti, Pierpaolo & Figini, Silvia, 2010. "How to measure single-name credit risk concentrations," European Journal of Operational Research, Elsevier, vol. 202(1), pages 232-238, April.
    11. Marc Dubois, 2016. "A note on the normative content of the Atkinson inequality aversion parameter," Post-Print hal-01837118, HAL.
    12. Toyotaka Sakai, 2010. "Intergenerational equity and an explicit construction of welfare criteria," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 393-414, September.
    13. 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.
    14. Savaglio, Ernesto, 2007. "Inequality as differences: A simple characterization," Research in Economics, Elsevier, vol. 61(1), pages 31-36, March.
    15. Marc Fleurbaey & Eduardo Zambrano, 2024. "Protected Income and Inequality Aversion," Papers 2408.04814, arXiv.org, revised Aug 2024.
    16. Dubey, Ram Sewak & Laguzzi, Giorgio, 2021. "Equitable preference relations on infinite utility streams," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    17. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2007. "A New Equity Condition for Infinite Utility Streams and the Possibility of being Paretian," International Economic Association Series, in: John Roemer & Kotaro Suzumura (ed.), Intergenerational Equity and Sustainability, chapter 4, pages 55-68, Palgrave Macmillan.
    18. Bosmans, Kristof, 2014. "Distribution-sensitivity of rank-dependent poverty measures," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 69-76.
    19. Sakai, Toyotaka, 2010. "A characterization and an impossibility of finite length anonymity for infinite generations," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 877-883, September.
    20. Susumu Cato, 2009. "Characterizing the Nash social welfare relation for infinite utility streams: a note," Economics Bulletin, AccessEcon, vol. 29(3), pages 2372-2379.

    More about this item

    Keywords

    Inequality aversion; s-th degree inequality; Principle of transfer.;
    All these keywords.

    JEL classification:

    • D6 - Microeconomics - - Welfare Economics
    • D3 - Microeconomics - - Distribution

    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:ebl:ecbull:eb-18-00948. 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: John P. Conley (email available below). General contact details of provider: .

    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.