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Bargaining: Nash, Consensus, or Compromise?

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  • Li, Xiangliang

Abstract

We propose two solutions to Nash (1950)'s bargaining problem: the Consensus and Compromise solutions. They gradually diverge from the Nash solution. Regarding axioms, we decompose the Nash solution's Axiom IIA (Independence of Irrelevant Alternatives) into distinct parts. The controversial ones are identified and successively replaced, leading to the Consensus and Compromise solutions. The two replacement parts are: 1). If the additional room for cooperation, resulting from deteriorating non-cooperation, does not offer a better outcome for both players, the solution remains unchanged; 2). A solution should not be the best only for one player, i.e., each player should make at least some concession, no matter how small.

Suggested Citation

  • Li, Xiangliang, 2023. "Bargaining: Nash, Consensus, or Compromise?," Games and Economic Behavior, Elsevier, vol. 142(C), pages 730-742.
    • Handle: RePEc:eee:gamebe:v:142:y:2023:i:c:p:730-742
    DOI: 10.1016/j.geb.2023.09.011
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    1. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, December.
    2. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    3. Kreps, David M., 1990. "Game Theory and Economic Modelling," OUP Catalogue, Oxford University Press, number 9780198283812.
    4. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    5. Imai, Haruo, 1983. "Individual Monotonicity and Lexicographic Maxmin Solution," Econometrica, Econometric Society, vol. 51(2), pages 389-401, March.
    6. van Damme, E.E.C. & Peters, H., 1991. "Characterizing the Nash and Raiffa bargaining solutions by disagreement point axioms," Other publications TiSEM 4bd5eb9e-328a-45a0-aa0a-e, Tilburg University, School of Economics and Management.
    7. Grossman, Sanford J & Hart, Oliver D, 1986. "The Costs and Benefits of Ownership: A Theory of Vertical and Lateral Integration," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 691-719, August.
    8. Zvi A. Livne, 1989. "Axiomatic Characterizations of the Raiffa and the Kalai-Smorodinsky Solutions to the Bargaining Problem," Operations Research, INFORMS, vol. 37(6), pages 972-980, December.
    9. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284, Elsevier.
    10. Manser, Marilyn & Brown, Murray, 1980. "Marriage and Household Decision-Making: A Bargaining Analysis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 31-44, February.
    11. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-467, June.
    12. Hans Peters & Eric Van Damme, 1991. "Characterizing the Nash and Raiffa Bargaining Solutions by Disagreement Point Axioms," Mathematics of Operations Research, INFORMS, vol. 16(3), pages 447-461, August.
    13. Hart, Oliver, 1995. "Firms, Contracts, and Financial Structure," OUP Catalogue, Oxford University Press, number 9780198288817.
    14. Partha Dasgupta & Eric S. Maskin, 2007. "Bargaining and Destructive Power," Annals of Economics and Finance, Society for AEF, vol. 8(2), pages 217-227, November.
    15. Andrei Shleifer & Robert W. Vishny, 1994. "Politicians and Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(4), pages 995-1025.
    16. Anbarci, Nejat & Bigelow, John P., 1994. "The area monotonic solution to the cooperative bargaining problem," Mathematical Social Sciences, Elsevier, vol. 28(2), pages 133-142, October.
    17. McElroy, Marjorie B & Horney, Mary Jean, 1981. "Nash-Bargained Household Decisions: Toward a Generalization of the Theory of Demand," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 333-349, June.
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    More about this item

    Keywords

    Bargaining; Nash solution; Consensus; Compromise; No-cooperation; Cooperation;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • 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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