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On the redundancy of the implicit welfarist axiom in bargaining theory

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  • de Clippel, Geoffroy

Abstract

Nash's characterization of his famous bargaining solution has long faced the objection of being welfarist: a bargaining situation is captured by a utility possibility set and a utility vector prevailing in case of disagreement, with no further information regarding the underlying economic environment. The present paper shows that a straightforward adaptation of Nash's axioms in a natural economic environment with lotteries does characterize his solution. A similar result holds for Kalai and Smorodinsky's [8] characterization of their solution if and only if the domain contains multiple goods. The non-welfarist characterization of the Nash solution extends to a larger class of preferences that accommodate some forms of non-expected utility.

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  • de Clippel, Geoffroy, 2015. "On the redundancy of the implicit welfarist axiom in bargaining theory," Journal of Economic Theory, Elsevier, vol. 157(C), pages 624-647.
    • Handle: RePEc:eee:jetheo:v:157:y:2015:i:c:p:624-647
    DOI: 10.1016/j.jet.2015.01.017
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    1. Farhad Husseinov, 2010. "Monotonic Extension," Working Papers 1004, Department of Economics, Bilkent University.
    2. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
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    6. Grant, Simon & Kajii, Atsushi, 1995. "A Cardinal Characterization of the Rubinstein-Safra-Thomson Axiomatic Bargaining Theory," Econometrica, Econometric Society, vol. 63(5), pages 1241-1249, September.
    7. 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.
    8. Valenciano, Federico & Zarzuelo, Jose M., 1997. "On Nash's Hidden Assumption," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 266-281, October.
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    Cited by:

    1. Vincent Martinet & Pedro Gajardo & Michel Lara, 2024. "Bargaining on monotonic social choice environments," Theory and Decision, Springer, vol. 96(2), pages 209-238, March.
    2. Vincent Martinet & Pedro Gajardo & Michel de Lara, 2021. "Bargaining On Monotonic Economic Environments," Working Papers hal-03206724, HAL.
    3. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.

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    More about this item

    Keywords

    Bargaining; Welfarism; Nash; Kalai–Smorodinsky; Non-expected utility;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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