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Equilibrium Selection In The Nash Demand Game. An Evolutionary Approach


  • Juana Santamaria-Garcia

    () (Universidad de Alicante)


Equilibrium selection in the Nash demand game is investigated in a learning context with persistent randomness. I adopt a matching framework similar to Kandori, Mailath and Rob (1993) and assume that individuals belong to populations of different sizes. Despite the myopic behavior of individuals, the selected division of the surplus that will be observed most of the time coincides with the Nash bargaining solution. Depending on the matching scenario, either the symmetric or the generalized Nash bargaining solution is selected. In the latter case, the power is larger for the short-side of the market.

Suggested Citation

  • Juana Santamaria-Garcia, 2004. "Equilibrium Selection In The Nash Demand Game. An Evolutionary Approach," Working Papers. Serie AD 2004-34, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:2004-34

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    References listed on IDEAS

    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    3. Kandori Michihiro & Rob Rafael, 1995. "Evolution of Equilibria in the Long Run: A General Theory and Applications," Journal of Economic Theory, Elsevier, vol. 65(2), pages 383-414, April.
    4. Tore Ellingsen, 1997. "The Evolution of Bargaining Behavior," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 581-602.
    5. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
    6. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    7. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    8. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-956, July.
    9. Mailath, George J., 1993. "Perpetual randomness in evolutionary economics," Economics Letters, Elsevier, vol. 42(2-3), pages 291-299.
    10. Ken Binmore & Larry Samuelson & Petyon Young, 2003. "Equilibrium Selection in Bargaining Models," Levine's Bibliography 506439000000000466, UCLA Department of Economics.
    11. Murali Agastya, 1995. "An Evolutionary Bargaining Model," Game Theory and Information 9503001, EconWPA.
    12. Binmore, Ken & Swierzbinski, Joe & Hsu, Steven & Proulx, Chris, 1993. "Focal Points and Bargaining," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(4), pages 381-409.
    13. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April.
    14. Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-1496, September.
    15. Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
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    Cited by:

    1. Younghwan In, 2005. "A Fictitious-Play Model of Bargaining To Implement the Nash Solution," Departmental Working Papers wp0509, National University of Singapore, Department of Economics.

    More about this item


    bargaining; best response; convention; learning; stochastic stability.;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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