IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v40y2013i4p1015-1032.html
   My bibliography  Save this article

On relative egalitarianism

Author

Listed:
  • Yves Sprumont

Abstract

We reconsider the problem of aggregating individual preference orderings into a single social ordering when alternatives are lotteries and individual preferences are of the von Neumann–Morgenstern type. Relative egalitarianism ranks alternatives by applying the leximin ordering to the distributions of 0–1 normalized utilities they generate. We propose an axiomatic characterization of this aggregation rule. Copyright Springer-Verlag 2013

Suggested Citation

  • Yves Sprumont, 2013. "On relative egalitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1015-1032, April.
    • Handle: RePEc:spr:sochwe:v:40:y:2013:i:4:p:1015-1032
    DOI: 10.1007/s00355-012-0653-7
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00355-012-0653-7
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00355-012-0653-7?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. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521715348.
    2. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    3. Epstein, Larry G & Segal, Uzi, 1992. "Quadratic Social Welfare Functions," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 691-712, August.
    4. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75, pages 765-765.
    5. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    6. Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-1186, September.
    7. SPRUMONT, Yves, 2009. "Relative Egalitarianism and Related Criteria," Cahiers de recherche 2009-02, Universite de Montreal, Departement de sciences economiques.
    8. Edi Karni, 1998. "Impartiality: Definition and Representation," Econometrica, Econometric Society, vol. 66(6), pages 1405-1416, November.
    9. Imai, Haruo, 1983. "Individual Monotonicity and Lexicographic Maxmin Solution," Econometrica, Econometric Society, vol. 51(2), pages 389-401, March.
    10. Marcus Fleming, 1952. "A Cardinal Concept of Welfare," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(3), pages 366-384.
    11. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    12. Klaus Nehring, 2000. "A Theory of Rational Choice under Ignorance," Theory and Decision, Springer, vol. 48(3), pages 205-240, May.
    13. Geoffroy de Clippel, 2009. "Axiomatic Bargaining on Economic Enviornments with Lott," Working Papers 2009-5, Brown University, Department of Economics.
    14. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
    15. Roemer, John E., 1988. "Axiomatic bargaining theory on economic environments," Journal of Economic Theory, Elsevier, vol. 45(1), pages 1-31, June.
    16. Amrita Dhillon, 1998. "Extended Pareto rules and relative utilitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 521-542.
    17. Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-390, November.
    18. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    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. Walter Bossert & Yves Sprumont, 2012. "Strategy-proof Preference Aggregation," Cahiers de recherche 12-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    2. Amarante, Massimiliano & Ghossoub, Mario, 2021. "Aggregation of opinions and risk measures," Journal of Economic Theory, Elsevier, vol. 196(C).
    3. Yves Sprumont, 2020. "Nash welfarism and the distributive implications of informational constraints," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 49-64, April.
    4. Marc Fleurbaey & Stéphane Zuber, 2021. "Fair Utilitarianism," American Economic Journal: Microeconomics, American Economic Association, vol. 13(2), pages 370-401, May.
    5. Thierry Marchant, 2019. "Utilitarianism without individual utilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 1-19, June.
    6. Vincent Martinet & Pedro Gajardo & Michel de Lara, 2021. "Bargaining On Monotonic Economic Environments," Working Papers hal-03206724, HAL.
    7. Moti Michaeli, 2021. "On Measuring Welfare ‘Behind a Veil of Ignorance’," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(1), pages 57-66, January.
    8. Bossert, Walter & Sprumont, Yves, 2014. "Strategy-proof preference aggregation: Possibilities and characterizations," Games and Economic Behavior, Elsevier, vol. 85(C), pages 109-126.

    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. SPRUMONT, Yves, 2009. "Relative Egalitarianism and Related Criteria," Cahiers de recherche 2009-02, Universite de Montreal, Departement de sciences economiques.
    2. Omer F. Baris, 2018. "Timing effect in bargaining and ex ante efficiency of the relative utilitarian solution," Theory and Decision, Springer, vol. 84(4), pages 547-556, June.
    3. Thibault Gajdos & Feriel Kandil, 2008. "The ignorant observer," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 193-232, August.
    4. Sprumont, Yves, 2018. "Belief-weighted Nash aggregation of Savage preferences," Journal of Economic Theory, Elsevier, vol. 178(C), pages 222-245.
    5. Marcus Pivato, 2009. "Twofold optimality of the relative utilitarian bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 79-92, January.
    6. d'Aspremont, Claude & Gevers, Louis, 2002. "Social welfare functionals and interpersonal comparability," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 10, pages 459-541, Elsevier.
    7. Yves Sprumont, 2020. "Nash welfarism and the distributive implications of informational constraints," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 49-64, April.
    8. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.
    9. Sinong Ma & Zvi Safra, 2019. "Fairness and utilitarianism without independence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 29-52, February.
    10. Vincent Martinet & Pedro Gajardo & Michel de Lara, 2021. "Bargaining On Monotonic Economic Environments," Working Papers hal-03206724, HAL.
    11. Segal, Uzi & Sobel, Joel, 2002. "Min, Max, and Sum," Journal of Economic Theory, Elsevier, vol. 106(1), pages 126-150, September.
    12. Piacquadio, Paolo G., 2020. "The ethics of intergenerational risk," Journal of Economic Theory, Elsevier, vol. 186(C).
    13. Brandl, Florian, 2021. "Belief-averaging and relative utilitarianism," Journal of Economic Theory, Elsevier, vol. 198(C).
    14. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
    15. Pivato, Marcus, 2007. "A non-monetary form of Clarke pivotal voting," MPRA Paper 3964, University Library of Munich, Germany.
    16. Miyagishima, Kaname, 2019. "Fair criteria for social decisions under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 77-87.
    17. Marc Fleurbaey, 2018. "Welfare economics, risk and uncertainty," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(1), pages 5-40, February.
    18. Ma, Sinong & Safra, Zvi, 2016. "Fairness and Utilitarianism without Independence," CRETA Online Discussion Paper Series 20, Centre for Research in Economic Theory and its Applications CRETA.
    19. Tilman Börgers & Yan-Min Choo, 2017. "Revealed Relative Utilitarianism," CESifo Working Paper Series 6613, CESifo.
    20. Miyagawa, Eiichi, 2002. "Subgame-perfect implementation of bargaining solutions," Games and Economic Behavior, Elsevier, vol. 41(2), pages 292-308, November.

    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:40:y:2013:i:4:p:1015-1032. 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.