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Social preferences and expected utility

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  • Mehmet S. Ismail
  • Ronald Peeters

Abstract

It is well known that ex ante social preferences and expected utility are not always compatible. In this note, we introduce a novel framework that naturally separates social preferences from selfish preferences to answer the following question: What specific forms of social preferences can be accommodated within the expected utility paradigm? In a departure from existing frameworks, our framework reveals that ex ante social preferences are not inherently in conflict with expected utility in games, provided a decision-maker's aversion to randomization in selfish utility "counterbalances" her social preference for randomization. We also show that when a player's preferences in both the game (against another player) and the associated decision problem (against Nature) conform to expected utility axioms, the permissible range of social preferences becomes notably restricted. Only under this condition do we reaffirm the existing literature's key insight regarding the incompatibility of ex ante inequality aversion with expected utility.

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  • Mehmet S. Ismail & Ronald Peeters, 2023. "Social preferences and expected utility," Papers 2312.06048, arXiv.org.
  • Handle: RePEc:arx:papers:2312.06048
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    References listed on IDEAS

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    1. Elena Cettolin & Arno Riedl & Giang Tran, 2017. "Giving in the face of risk," Journal of Risk and Uncertainty, Springer, vol. 55(2), pages 95-118, December.
    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. 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.
    5. Kota Saito, 2013. "Social Preferences under Risk: Equality of Opportunity versus Equality of Outcome," American Economic Review, American Economic Association, vol. 103(7), pages 3084-3101, December.
    6. Edi Karni & Zvi Safra, 2002. "Individual Sense of Justice: A Utility Representation," Econometrica, Econometric Society, vol. 70(1), pages 263-284, January.
    7. Trautmann, Stefan T., 2009. "A tractable model of process fairness under risk," Journal of Economic Psychology, Elsevier, vol. 30(5), pages 803-813, October.
    8. Edi Karni & Tim Salmon & Barry Sopher, 2008. "Individual sense of fairness: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 11(2), pages 174-189, June.
    9. 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.
    10. 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.
    11. Gilboa, Itzhak & Schmeidler, David, 2003. "A derivation of expected utility maximization in the context of a game," Games and Economic Behavior, Elsevier, vol. 44(1), pages 172-182, July.
    12. Bin Miao & Songfa Zhong, 2018. "Probabilistic social preference: how Machina’s Mom randomizes her choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(1), pages 1-24, January.
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