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The Nash bargaining solution: sometimes more utilitarian, sometimes more egalitarian

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  • Shiran Rachmilevitch

    (University of Haifa, Mount Carmel)

Abstract

The first-order condition of the Nash bargaining solution equates the ratio of utilities to the ratio of marginal utilities. It turns out that this common ratio plays a role in determining whether the Nash solution, roughly speaking, is “more utilitarian” or “more egalitarian.” More specifically, I propose a sense of proximity to utilitarianism and/or egalitarianism according to which, in bargaining problems with distinct utilitarian and egalitarian points, the Nash solution is closer to utilitarianism if the aforementioned ratio is smaller than one, and closer to egalitarianism if that ratio is greater than one.

Suggested Citation

  • Shiran Rachmilevitch, 2023. "The Nash bargaining solution: sometimes more utilitarian, sometimes more egalitarian," Theory and Decision, Springer, vol. 95(3), pages 457-464, October.
    • Handle: RePEc:kap:theord:v:95:y:2023:i:3:d:10.1007_s11238-023-09930-2
    DOI: 10.1007/s11238-023-09930-2
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    References listed on IDEAS

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    1. Shiran Rachmilevitch, 2015. "The Nash solution is more utilitarian than egalitarian," Theory and Decision, Springer, vol. 79(3), pages 463-478, November.
    2. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    3. Marcus Pivato, 2009. "Twofold optimality of the relative utilitarian bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 79-92, January.
    4. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
    5. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    6. Sobel, Joel, 2001. "Manipulation of Preferences and Relative Utilitarianism," Games and Economic Behavior, Elsevier, vol. 37(1), pages 196-215, October.
    Full references (including those not matched with items on IDEAS)

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