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Nash bargaining with (almost) no rationality

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  • Rachmilevitch, Shiran

Abstract

I axiomatize the n-person asymmetric Nash bargaining solution on the basis of independence of irrelevant alternatives, independence of equivalent utility representations, feasible set continuity, and conflict-freeness—the requirement that the solution selects the ideal point whenever it is feasible to do so.

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  • Rachmilevitch, Shiran, 2015. "Nash bargaining with (almost) no rationality," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 107-109.
    • Handle: RePEc:eee:matsoc:v:76:y:2015:i:c:p:107-109
    DOI: 10.1016/j.mathsocsci.2015.04.007
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    References listed on IDEAS

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    1. Alvin E. Roth, 1977. "Individual Rationality and Nash's Solution to the Bargaining Problem," Mathematics of Operations Research, INFORMS, vol. 2(1), pages 64-65, February.
    2. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    4. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2012. "On the Efficiency-Fairness Trade-off," Management Science, INFORMS, vol. 58(12), pages 2234-2250, December.
    5. de Koster, R. & Peters, H. J. M. & Tijs, S. H. & Wakker, P., 1983. "Risk sensitivity, independence of irrelevant alternatives and continuity of bargaining solutions," Mathematical Social Sciences, Elsevier, vol. 4(3), pages 295-300, July.
    6. Lensberg, T. & Thomson, W., 1988. "Characterizing The Nash Bargaining Solution Without Pareto-Optimality," RCER Working Papers 136, University of Rochester - Center for Economic Research (RCER).
    7. Nejat Anbarci & Ching-jen Sun, 2011. "Weakest collective rationality and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 425-429, September.
    8. Jansen, M.J.M. & Tijs, S.H., 1983. "Continuity of bargaining solutions," Other publications TiSEM 6c8fa22d-61f9-43b6-9224-a, Tilburg University, School of Economics and Management.
    9. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
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    Cited by:

    1. NAKAMURA, Kensei, 2023. "Characterizing the Nash bargaining solution with continuity and almost no individual rationality," Discussion Papers 2023-02, Graduate School of Economics, Hitotsubashi University.
    2. 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.
    3. Shiran Rachmilevitch, 2021. "No individual priorities and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 855-863, May.
    4. Shiran Rachmilevitch, 2021. "Step-by-step negotiations and utilitarianism," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 433-445, June.

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