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Integrating Raiffa and Nash approaches to bargaining using interim agreements

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  • Chatterjee, Kalyan
  • Chaturvedi, Rakesh

Abstract

Raiffa's solution to the bargaining problem, outlined in Luce and Raiffa (1957), is the point where the negotiation curve - a sequence of points that constitute step-by-step improvements from the status quo in the feasible payoff space - meets (possibly in the limit) the efficient boundary of the feasible region. A bargaining model with interim agreements yields a negotiation curve in equilibrium (in the spirit of Raiffa), and as the bargaining frictions disappear, the Raiffa path of payoffs converges to the Nash solution.

Suggested Citation

  • Chatterjee, Kalyan & Chaturvedi, Rakesh, 2024. "Integrating Raiffa and Nash approaches to bargaining using interim agreements," Games and Economic Behavior, Elsevier, vol. 146(C), pages 105-120.
  • Handle: RePEc:eee:gamebe:v:146:y:2024:i:c:p:105-120
    DOI: 10.1016/j.geb.2024.05.003
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. O'Neill, Barry & Samet, Dov & Wiener, Zvi & Winter, Eyal, 2004. "Bargaining with an agenda," Games and Economic Behavior, Elsevier, vol. 48(1), pages 139-153, July.
    3. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    4. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    5. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    6. Avidit Acharya & Juan Ortner, 2022. "Paths to the Frontier," American Economic Journal: Microeconomics, American Economic Association, vol. 14(1), pages 39-69, February.
    7. Guillaume Rocheteau & Tai-Wei Hu & Lucie Lebeau & Younghwan In, 2021. "Gradual Bargaining in Decentralized Asset Markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 42, pages 72-109, October.
    8. Gomes, Armando & Hart, Sergiu & Mas-Colell, Andreu, 1999. "Finite Horizon Bargaining and the Consistent Field," Games and Economic Behavior, Elsevier, vol. 27(2), pages 204-228, May.
    9. Diskin, A. & Koppel, M. & Samet, D., 2011. "Generalized Raiffa solutions," Games and Economic Behavior, Elsevier, vol. 73(2), pages 452-458.
    10. Anbarci, Nejat & Sun, Ching-jen, 2013. "Robustness of intermediate agreements and bargaining solutions," Games and Economic Behavior, Elsevier, vol. 77(1), pages 367-376.
    11. Bram Driesen & Peter Eccles & Nora Wegner, 2017. "A non-cooperative foundation for the continuous Raiffa solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1115-1135, November.
    12. Tai-Wei Hu & Guillaume Rocheteau, 2020. "Bargaining under liquidity constraints: Unified strategic foundations of the Nash and Kalai solutions," Post-Print hal-04120409, HAL.
    13. Haruo Imai & Hannu Salonen, 2012. "A characterization of a limit solution for finite horizon bargaining problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 603-622, August.
    14. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-1364, November.
    15. Walter Trockel, 2015. "Axiomatization of the discrete Raiffa solution," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 9-17, April.
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    More about this item

    Keywords

    Bargaining; Nash bargaining solution; Raiffa's bargaining solution; Negotiation curve;
    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

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