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The Coalitional Nash Bargaining Solution with Simultaneous Payoff Demands

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  • Ricardo Nieva

    (Universidad de Lima, Lima, Peru)

Abstract

We consider a standard coalitional bargaining game where once a coalition forms it exits as in Okada (2011), however, instead of alternating offers, we have simultaneous payoff demands. We focus in the producer game he studies. Each player is chosen with equal probability. If that is the case, she can choose any coalition she belongs to. However, a coalition can form if an only if payoff demands are feasible as in the Nash (1953) demand game. After smoothing the game (as in Van Damme (1991)), when the noise vanishes, when the discount factor is close to 1, and as in Okada´s (2011), the coalitional Nash bargaining solution is the unique stationary subgameperfect equilibrium.

Suggested Citation

  • Ricardo Nieva, 2015. "The Coalitional Nash Bargaining Solution with Simultaneous Payoff Demands," Working Papers 2015.67, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2015.67
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    References listed on IDEAS

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    1. Ricardo Nieva, 2008. "Networks with Group Counterproposals," Working Papers 2008.61, Fondazione Eni Enrico Mattei.
    2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    3. Okada, Akira, 2011. "Coalitional bargaining games with random proposers: Theory and application," Games and Economic Behavior, Elsevier, vol. 73(1), pages 227-235, September.
    4. Olivier Compte & Philippe Jehiel, 2010. "The Coalitional Nash Bargaining Solution," Econometrica, Econometric Society, vol. 78(5), pages 1593-1623, September.
    5. repec:pri:metric:wp053_2013_abreu_pearce_implementing-the-nash-program-in-stochastic-games is not listed on IDEAS
    6. L. S. Shapley & Martin Shubik, 1967. "Ownership and the Production Function," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 81(1), pages 88-111.
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    Cited by:

    1. Roberto Serrano, 2021. "Sixty-seven years of the Nash program: time for retirement?," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 35-48, March.

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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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