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Asymmetric Nash bargaining solutions: A simple Nash program

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  • Anbarci, Nejat
  • Sun, Ching-jen

Abstract

This article proposes a simple Nash program. Both our axiomatic characterization and our noncooperative procedure consider each distinct asymmetric and symmetric Nash solution. Our noncooperative procedure is a generalization of the simplest known sequential Nash demand game analyzed by Rubinstein et al. (1992). We then provide the simplest known axiomatic characterization of the class of asymmetric Nash solutions, in which we use only Nash’s crucial Independence of Irrelevant Alternatives axiom and an asymmetric modification of the well-known Midpoint Domination axiom.

Suggested Citation

  • Anbarci, Nejat & Sun, Ching-jen, 2013. "Asymmetric Nash bargaining solutions: A simple Nash program," Economics Letters, Elsevier, vol. 120(2), pages 211-214.
  • Handle: RePEc:eee:ecolet:v:120:y:2013:i:2:p:211-214
    DOI: 10.1016/j.econlet.2013.04.026
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    References listed on IDEAS

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    18. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-141, February.
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    Cited by:

    1. Bram Driesen, 2016. "Bargaining, conditional consistency, and weighted lexicographic Kalai-Smorodinsky Solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 777-809, April.
    2. Roberto Serrano, 2020. "Sixty-Seven Years of the Nash Program: Time for Retirement?," Working Papers 2020-20, Brown University, Department of Economics.
    3. Ansolabehere, Stephen & Puy, M. Socorro, 2022. "Constitutions, federalism, and national integration," European Economic Review, Elsevier, vol. 148(C).
    4. Wu, Chuantao & Zhou, Dezhi & Lin, Xiangning & Sui, Quan & Wei, Fanrong & Li, Zhengtian, 2022. "A novel energy cooperation framework for multi-island microgrids based on marine mobile energy storage systems," Energy, Elsevier, vol. 252(C).
    5. Mao, Liang, 2020. "Optimal recommendation in two-player bargaining games," Mathematical Social Sciences, Elsevier, vol. 107(C), pages 41-45.
    6. Sanxi Li & Hailin Sun & Jianye Yan & Xundong Yin, 2015. "Risk aversion in the Nash bargaining problem with uncertainty," Journal of Economics, Springer, vol. 115(3), pages 257-274, July.
    7. 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.
    8. Shiran Rachmilevitch, 2015. "A characterization of the asymmetric Nash solution," Review of Economic Design, Springer;Society for Economic Design, vol. 19(2), pages 167-171, June.
    9. Roberto Serrano, 2021. "Sixty-seven years of the Nash program: time for retirement?," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 35-48, March.
    10. Johannes Treutlein, 2023. "Modeling evidential cooperation in large worlds," Papers 2307.04879, arXiv.org, revised Aug 2023.

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    More about this item

    Keywords

    Asymmetric Nash bargaining solutions; Nash program; Axiomatic characterization; Noncooperative foundations; Economics of search;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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