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Note on the equal split solution in an n-person noncooperative bargaining game

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  • Miyakawa, Toshiji

Abstract

This note examines a noncooperative bargaining game model to implement the "equal split" solution in a transferable utility coalitional form game provided by Hart and Mas-Colell [Hart, S., Mas-Colell, A., 1996. Bargaining and value. Econometrica 64, 357-380]. We first clarify the relationship between the equal split solution and the Nash bargaining solution in a coalitional form game and extend the model to a nontransferable utility coalitional form game. We then provide a sufficient condition for generating the Nash bargaining solution payoff configuration and the equal split solution as the limit of the stationary subgame-perfect equilibrium payoffs of Hart and Mas-Colell's bargaining game when the probabilities of the breakdown of negotiations converge to zero.

Suggested Citation

  • Miyakawa, Toshiji, 2008. "Note on the equal split solution in an n-person noncooperative bargaining game," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 281-291, May.
  • Handle: RePEc:eee:matsoc:v:55:y:2008:i:3:p:281-291
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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.
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    3. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    4. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    5. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    6. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    7. Vijay Krishna & Roberto Serrano, 1996. "Multilateral Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 61-80.
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    Cited by:

    1. Masanori Mitsutsune & Takanori Adachi, 2014. "Estimating noncooperative and cooperative models of bargaining: an empirical comparison," Empirical Economics, Springer, vol. 47(2), pages 669-693, September.
    2. Harstad, Bård, 2023. "Pledge-and-review bargaining," Journal of Economic Theory, Elsevier, vol. 207(C).
    3. 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.
    4. Yang, Guangjing & Sun, Hao & Hou, Dongshuang & Xu, Genjiu, 2020. "A noncooperative bargaining game with endogenous protocol and partial breakdown," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 34-40.
    5. Kawamori, Tomohiko & Miyakawa, Toshiji, 2019. "Bargaining delay under partial breakdowns and externalities," Economics Letters, Elsevier, vol. 183(C), pages 1-1.
    6. Thorsten Upmann & Julia Müller, 2014. "The Structure of Firm-Specific Labour Unions," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 170(2), pages 336-364, June.
    7. Kawamori, Tomohiko & Miyakawa, Toshiji, 2016. "Nash bargaining solution under externalities," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 1-7.

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