IDEAS home Printed from https://ideas.repec.org/p/mtl/montec/02-2009.html
   My bibliography  Save this paper

Relative Egalitarianism and Related Criteria

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 and discuss related criteria.

Suggested Citation

  • Yves SPRUMONT, 2009. "Relative Egalitarianism and Related Criteria," Cahiers de recherche 02-2009, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    • Handle: RePEc:mtl:montec:02-2009
    as

    Download full text from publisher

    File URL: http://www.cireqmontreal.com/wp-content/uploads/cahiers/02-2009-cah.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    2. 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.
    3. Peter A. Diamond, 1967. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utility: Comment," Journal of Political Economy, University of Chicago Press, vol. 75(5), pages 765-765.
    4. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2005. "Arrovian aggregation in economic environments: how much should we know about indifference surfaces?," Journal of Economic Theory, Elsevier, vol. 124(1), pages 22-44, September.
    5. Farina, Francesco & Hahn, Frank & Vannucci, Stefano (ed.), 1996. "Ethics, Rationality, and Economic Behaviour," OUP Catalogue, Oxford University Press, number 9780198289814.
    6. 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.
    7. Machina, Mark J, 1989. "Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty," Journal of Economic Literature, American Economic Association, vol. 27(4), pages 1622-1668, December.
    8. Geoffroy de Clippel, 2009. "Axiomatic Bargaining on Economic Enviornments with Lott," Working Papers 2009-5, Brown University, Department of Economics.
    9. François Maniquet & Yves Sprumont, 2004. "Fair Production and Allocation of an Excludable Nonrival Good," Econometrica, Econometric Society, vol. 72(2), pages 627-640, March.
    10. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284, Elsevier.
    11. Grant, Simon, 1995. "Subjective Probability without Monotonicity: Or How Machina's Mom May Also Be Probabilistically Sophisticated," Econometrica, Econometric Society, vol. 63(1), pages 159-189, January.
    12. Maniquet, Francois & Sprumont, Yves, 2005. "Welfare egalitarianism in non-rival environments," Journal of Economic Theory, Elsevier, vol. 120(2), pages 155-174, February.
    13. Fleurbaey, Marc, 2007. "Two criteria for social decisions," Journal of Economic Theory, Elsevier, vol. 134(1), pages 421-447, May.
    14. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    15. Hammond, P.J. & , ., 1987. "Consequentialist foundations for expected utility," LIDAM Discussion Papers CORE 1987016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. M. Fleurbaey & F. Maniquet, 2008. "Fair social orderings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 25-45, January.
    17. Broome, John, 1984. "Uncertainty and Fairness," Economic Journal, Royal Economic Society, vol. 94(375), pages 624-632, September.
    18. Peyton Young, 1995. "Optimal Voting Rules," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 51-64, Winter.
    19. 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.
    20. repec:bla:econom:v:43:y:1976:i:172:p:381-90 is not listed on IDEAS
    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. 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.
    2. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.

    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. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    2. 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.
    3. 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.
    4. Marc Fleurbaey & Stéphane Zuber, 2013. "Inequality aversion and separability in social risk evaluation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 675-692, November.
    5. Piacquadio, Paolo G., 2020. "The ethics of intergenerational risk," Journal of Economic Theory, Elsevier, vol. 186(C).
    6. Fleurbaey, Marc & Gajdos, Thibault & Zuber, Stéphane, 2015. "Social rationality, separability, and equity under uncertainty," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 13-22.
    7. Takashi Hayashi, 2016. "Consistent updating of social welfare functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 569-608, March.
    8. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
    9. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.
    10. 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.
    11. Stefan Traub & Christian Seidl & Ulrich Schmidt & Maria Levati, 2005. "Friedman, Harsanyi, Rawls, Boulding – or somebody else? An experimental investigation of distributive justice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(2), pages 283-309, April.
    12. Luciano Andreozzi & Matteo Ploner & Ivan Soraperra, 2013. "Justice among strangers. On altruism, inequality aversion and fairness," CEEL Working Papers 1304, Cognitive and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia.
    13. Sprumont, Yves, 2018. "Belief-weighted Nash aggregation of Savage preferences," Journal of Economic Theory, Elsevier, vol. 178(C), pages 222-245.
    14. Loïc Berger & Johannes Emmerling, 2020. "Welfare As Equity Equivalents," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 727-752, September.
    15. Anna Bogomolnaia & Hervé Moulin & Fedor Sandomirskiy, 2022. "On the Fair Division of a Random Object," Management Science, INFORMS, vol. 68(2), pages 1174-1194, February.
    16. Alexia Gaudeul, 2013. "Social preferences under uncertainty," Jena Economics Research Papers 2013-024, Friedrich-Schiller-University Jena.
    17. Fleurbaey, Marc, 2006. "Is commodity taxation unfair?," Journal of Public Economics, Elsevier, vol. 90(10-11), pages 1765-1787, November.
    18. Stefan Trautmann, 2010. "Individual fairness in Harsanyi’s utilitarianism: operationalizing all-inclusive utility," Theory and Decision, Springer, vol. 68(4), pages 405-415, April.
    19. Nascimento, Leandro, 2011. "Zhou’s aggregation theorems with multiple welfare weights," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 654-658.
    20. Abhinash Borah, 2021. "Individual sense of justice and Harsanyi’s impartial observer," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(1), pages 167-199, July.

    More about this item

    Keywords

    preference aggregation; lotteries; relative egalitarianism;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:mtl:montec:02-2009. 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: Sharon BREWER (email available below). General contact details of provider: https://edirc.repec.org/data/cdmtlca.html .

    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.