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Ex post fairness and ex ante fairness in social preferences under risk

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  • Seiji TAKANASHI

Abstract

We extend the domain of social preferences, which depend on not only one’s outcomes but also vectors of outcomes of all other agents, from deterministic outcome vectors to lotteries over outcome vectors. First, we axiomatically characterize a class of utility functions which satisfies the expected utility theory and reversal of order as far as these two requirements are consistent with ex post fairness and ex ante fairness. Based on this class, we characterize three classes of utility functions which additionally satisfy ex ante fairness, inequality-aversion, and ex post fairness for probability mixture, respectively. Finally, we characterize our main class of utility functions which satisfies these axioms. Saito (2013) also axiomatizes social preferences on lotteries over the outcome vectors which are an extension of the utility functions proposed by Fehr and Schmidt (1999). We characterize a wider class of utility functions which explains heterogeneous attitudes of how much the decision maker cares about ex ante fairness and ex post fairness toward each agent. Moreover, we provide an additional axiom under which our class of utility functions coincides with Saito’s class of utility functions. We reveal that the axiom requires that the attitudes are the same among all the agents.

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  • Seiji TAKANASHI, 2021. "Ex post fairness and ex ante fairness in social preferences under risk," Discussion papers e-20-006, Graduate School of Economics , Kyoto University.
  • Handle: RePEc:kue:epaper:e-20-006
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    1. 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.
    2. Andreoni, James & Petrie, Ragan, 2004. "Public goods experiments without confidentiality: a glimpse into fund-raising," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1605-1623, July.
    3. 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.
    4. 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.
    5. 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.
    6. J. Michelle Brock & Andreas Lange & Erkut Y. Ozbay, 2013. "Dictating the Risk: Experimental Evidence on Giving in Risky Environments," American Economic Review, American Economic Association, vol. 103(1), pages 415-437, February.
    7. 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.
    8. Kyoungwon Seo, 2009. "Ambiguity and Second-Order Belief," Econometrica, Econometric Society, vol. 77(5), pages 1575-1605, September.
    9. Edi Karni & Zvi Safra, 2002. "Individual Sense of Justice: A Utility Representation," Econometrica, Econometric Society, vol. 70(1), pages 263-284, January.
    10. Müller, Stephan & Rau, Holger A., 2019. "Decisions under uncertainty in social contexts," Games and Economic Behavior, Elsevier, vol. 116(C), pages 73-95.
    11. James Andreoni & B. Douglas Bernheim, 2009. "Social Image and the 50-50 Norm: A Theoretical and Experimental Analysis of Audience Effects," Econometrica, Econometric Society, vol. 77(5), pages 1607-1636, September.
    12. Alexander W. Cappelen & James Konow & Erik ?. S?rensen & Bertil Tungodden, 2013. "Just Luck: An Experimental Study of Risk-Taking and Fairness," American Economic Review, American Economic Association, vol. 103(4), pages 1398-1413, June.
    13. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    14. Mark C Long & Eleanor Krause, 2017. "Altruism by age and social proximity," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-24, August.
    15. Natalia Montinari & Michela Rancan, 2018. "Risk taking on behalf of others: The role of social distance," Journal of Risk and Uncertainty, Springer, vol. 57(1), pages 81-109, August.
    16. 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.
    17. Kirsten Rohde, 2010. "A preference foundation for Fehr and Schmidt’s model of inequity aversion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 537-547, April.
    18. John C. Harsanyi, 1953. "Cardinal Utility in Welfare Economics and in the Theory of Risk-taking," Journal of Political Economy, University of Chicago Press, vol. 61(5), pages 434-434.
    19. , G. & , & ,, 2007. "Coarse contingencies and ambiguity," Theoretical Economics, Econometric Society, vol. 2(4), December.
    20. Shaowei Ke & Qi Zhang, 2020. "Randomization and Ambiguity Aversion," Econometrica, Econometric Society, vol. 88(3), pages 1159-1195, May.
    21. Rege, Mari & Telle, Kjetil, 2004. "The impact of social approval and framing on cooperation in public good situations," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1625-1644, July.
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    More about this item

    Keywords

    Social preference; Risk; Fairness;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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