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The Nash bargaining solution and utilitarian–egalitarian social welfare functions

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  • Rachmilevitch, Shiran

Abstract

The 2-person Nash bargaining solution is the only scale covariant one that maximizes, on every problem, some mixture of the utilitarian and egalitarian social welfare functions. With three or more players, no solution satisfies these two axioms.

Suggested Citation

  • Rachmilevitch, Shiran, 2024. "The Nash bargaining solution and utilitarian–egalitarian social welfare functions," Economics Letters, Elsevier, vol. 244(C).
    • Handle: RePEc:eee:ecolet:v:244:y:2024:i:c:s0165176524004427
    DOI: 10.1016/j.econlet.2024.111958
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    References listed on IDEAS

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    1. Kevin W. S. Roberts, 1980. "Interpersonal Comparability and Social Choice Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 421-439.
    2. Nejat Anbarci & Ching-jen Sun, 2011. "Distributive justice and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 453-470, September.
    3. Shiran Rachmilevitch, 2015. "The Nash solution is more utilitarian than egalitarian," Theory and Decision, Springer, vol. 79(3), pages 463-478, November.
    4. Marco Mariotti, 1999. "Fair Bargains: Distributive Justice and Nash Bargaining Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 733-741.
    5. Mark Schneider & Byung‐Cheol Kim, 2020. "The utilitarian–maximin social welfare function and anomalies in social choice," Southern Economic Journal, John Wiley & Sons, vol. 87(2), pages 629-646, October.
    6. Yaari, Menahem E., 1981. "Rawls, edgeworth, shapley, nash: Theories of distributive justice re-examined," Journal of Economic Theory, Elsevier, vol. 24(1), pages 1-39, February.
    7. Shiran Rachmilevitch, 2022. "Between Utilitarianism and Egalitarianism: Some Ethical Aspects of the Nash Bargaining Solution," Springer Books, in: Emin Karagözoğlu & Kyle B. Hyndman (ed.), Bargaining, chapter 0, pages 131-150, Springer.
    8. Shiran Rachmilevitch, 2023. "The Nash bargaining solution: sometimes more utilitarian, sometimes more egalitarian," Theory and Decision, Springer, vol. 95(3), pages 457-464, October.
    9. Shiran Rachmilevitch, 2019. "Egalitarianism, utilitarianism, and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 741-751, April.
    10. Walter Bossert & Kohei Kamaga, 2020. "An axiomatization of the mixed utilitarian–maximin social welfare orderings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 451-473, March.
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