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A Theory of Negotiations and Formation of Coalitions

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  • Armando Gomes

Abstract

This paper proposes a new solution concept to three-player coalitional bargaining problems where the underlying economic opportunities are described by a partition function. This classic bargaining problem is modeled as a dynamic non-cooperative game in which players make conditional or unconditional offers, and coalitions continue to negotiate as long as there are gains from trade. The theory yields a unique stationary perfect equilibrium outcome-the negotiation value-and provide a unified framework that selects an economically intuitive solution and endogenous coalition structure. For such games as pure bargaining games the negotiation value coincides with the Nash bargaining solution, and for such games as zero-sum and majority voting games the negotiation value coincides with the Shapley value. However, a novel situation arises where the outcome is determined by pairwise sequential bargaining sessions in which a pair of players forms a natural match. In addition, another novel situation exists where the outcome is determined by one pivotal player bargaining unconditionally with the other players, and only the pairwise coalitions between the pivotal player and the other players can form.

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  • Armando Gomes, "undated". "A Theory of Negotiations and Formation of Coalitions," Rodney L. White Center for Financial Research Working Papers 21-99, Wharton School Rodney L. White Center for Financial Research.
  • Handle: RePEc:fth:pennfi:21-99
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    File URL: http://finance.wharton.upenn.edu/%7Erlwctr/papers/9921.pdf
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    References listed on IDEAS

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    8. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    9. 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.
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    13. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative 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 1, chapter 7, pages 179-225 Elsevier.
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    Cited by:

    1. Tobias Lindqvist & Johan Stennek, 2005. "The Insiders’ Dilemma: An Experiment on Merger Formation," Experimental Economics, Springer;Economic Science Association, vol. 8(3), pages 267-284, September.
    2. Nikitas Konstantinidis, 2008. "Gradualism and uncertainty in international union formation: The European Community’s first enlargement," The Review of International Organizations, Springer, vol. 3(4), pages 399-433, December.

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