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Bargaining and the theory of cooperative games: John Nash and beyond

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Abstract

This essay surveys the literature on the axiomatic model of bargaining formulated by Nash ("The Bargaining Problem," Econometrica 28, 1950, 155-162).

Suggested Citation

  • William Thomson, 2009. "Bargaining and the theory of cooperative games: John Nash and beyond," RCER Working Papers 554, University of Rochester - Center for Economic Research (RCER).
    • Handle: RePEc:roc:rocher:554
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    File URL: http://rcer.econ.rochester.edu/RCERPAPERS/rcer_554.pdf
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    References listed on IDEAS

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    1. Anbarci, Nejat, 1991. "The Nash solution and relevant expansions," Economics Letters, Elsevier, vol. 36(2), pages 137-140, June.
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    Cited by:

    1. Ching-jen Sun, 2018. "The bargaining correspondence: when Edgeworth meets Nash," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 337-359, August.
    2. Craig Webb, 2013. "Bargaining with subjective mixtures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 15-39, January.
    3. Maria Gallego & David Scoones, 2011. "Intergovernmental negotiation, willingness to compromise, and voter preference reversals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(3), pages 591-610, April.
    4. Navarro, Noemí & Veszteg, Róbert F., 2020. "On the empirical validity of axioms in unstructured bargaining," Games and Economic Behavior, Elsevier, vol. 121(C), pages 117-145.
    5. Cheng-Zhong Qin & Shuzhong Shi & Guofu Tan, 2015. "Nash bargaining for log-convex problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(3), pages 413-440, April.
    6. Daniele Cassese & Paolo Pin, 2018. "Decentralized Pure Exchange Processes on Networks," Papers 1803.08836, arXiv.org, revised Mar 2022.
    7. Michael R. Caputo, 2016. "Intrinsic Comparative Statics of a Nash Bargaining Solution," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-11, December.
    8. Mizukami, Hideki & Wakayama, Takuma, 2020. "Dominant strategy implementation of bargaining solutions," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 60-67.
    9. Claus-Jochen Haake & Cheng-Zhong Qin, 2018. "On unification of solutions to the bargaining problem," Working Papers CIE 113, Paderborn University, CIE Center for International Economics.
    10. Rong Kang, 2012. "An Axiomatic Approach to Arbitration and its Application in Bargaining Games," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-34, September.

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      More about this item

      Keywords

      Nash's bargaining model; Nash solution; Kalai-Smorodinsky solution; Egalitarian solution;
      All these keywords.

      JEL classification:

      • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
      • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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