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Fairness, risk preferences and independence: Impossibility theorems

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  • Fudenberg, Drew
  • Levine, David K.

Abstract

The most widely used economic models of social preferences are specified only for certain outcomes. There are two obvious methods of extending them to lotteries. If we do so by expected utility theory, so that the independence axiom is satisfied, our results imply that the resulting preferences do not exhibit ex ante fairness. If we do so by replacing certain outcomes with their expected utilities for each individual, so that individual risk preferences are preserved, then ex ante fairness may be preserved, but neither the independence axiom nor ex post fairness is satisfied. Both ex ante and ex post fairness can be satisfied but then the individual does not have well defined preferences over own lotteries.

Suggested Citation

  • Fudenberg, Drew & Levine, David K., 2012. "Fairness, risk preferences and independence: Impossibility theorems," Journal of Economic Behavior & Organization, Elsevier, vol. 81(2), pages 606-612.
  • Handle: RePEc:eee:jeborg:v:81:y:2012:i:2:p:606-612
    DOI: 10.1016/j.jebo.2011.09.004
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    References listed on IDEAS

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    1. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    2. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    3. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    4. Gary E Bolton & Jordi Brandts & Axel Ockenfels, 2005. "Fair Procedures: Evidence from Games Involving Lotteries," Economic Journal, Royal Economic Society, vol. 115(506), pages 1054-1076, October.
    5. James C. Cox & Daniel Friedman & Vjollca Sadiraj, 2008. "Revealed Altruism," Econometrica, Econometric Society, vol. 76(1), pages 31-69, January.
    6. Edi Karni & Zvi Safra, 2002. "Individual Sense of Justice: A Utility Representation," Econometrica, Econometric Society, vol. 70(1), pages 263-284, January.
    7. Engelmann, Dirk, 2012. "How not to extend models of inequality aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 81(2), pages 599-605.
    8. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    9. William Neilson, 2006. "Axiomatic reference-dependence in behavior toward others and toward risk," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 681-692, August.
    10. Alon Harel, 2005. "Ex-Post Egalitarianism and Legal Justice," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 21(1), pages 57-75, April.
    11. Simon Grant & Atsushi Kajii & Ben Polak & Zvi Safra, 2010. "Generalized Utilitarianism and Harsanyi's Impartial Observer Theorem," Econometrica, Econometric Society, vol. 78(6), pages 1939-1971, November.
    12. Kircher, Philipp & Sandroni, Alvaro & Ludwig, Sandra, 2009. "Fairness: A Critique to the Utilitarian Approach," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 288, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    13. 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.
    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. James Andreoni & John Miller, 2002. "Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism," Econometrica, Econometric Society, vol. 70(2), pages 737-753, March.
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    More about this item

    Keywords

    Fairness; Risk; Ex-ante fairness;
    All these keywords.

    JEL classification:

    • A1 - General Economics and Teaching - - General Economics
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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