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Nonconvex Bargaining Problems: Some Recent Developments

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  • Xu, Yongsheng
  • Yoshihara, Naoki

Abstract

This paper presents a survey of the recent theoretical results on solutions to nonconvex bargaining problems. We discuss rationalizability of solutions to nonconvex bargaining problems, axiomatic characterizations of the symmetric and asymmetric Nash solution, the Kalai-Smorodinsky solution, and the egalitarian solution to nonconvex bargaining problems, and applications in the context of resource allocation and of bargaining over opportunity sets.

Suggested Citation

  • Xu, Yongsheng & Yoshihara, Naoki, 2020. "Nonconvex Bargaining Problems: Some Recent Developments," Discussion Paper Series 715, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hit:hituec:715
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    Cited by:

    1. 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.

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    More about this item

    Keywords

    nonconvex bargaining problem; Nash solution; equitable Nash solution; Kalai-Smorodinsky solution; Egalitarian solution; resource allocation problem;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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