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Which Acceptable Agreements are Equilibria?

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  • Thoron, Sylvie

    (GREQAM)

Abstract

I propose a normal form game of agreement formation in which each player's strategy is to say for each size of agreement whether it is acceptable or not. I propose a refinement, which guarantees that each one of these choices is self-enforcing. For general payoff functions, which exhibit positive externalities, I analyse situations in which symmetric players have the possibility to reach a unique agreement. I prove the uniqueness of this equilibrium. I give two specific examples: a cartel and an agreement to contribute to a public good.

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  • Thoron, Sylvie, 2003. "Which Acceptable Agreements are Equilibria?," Royal Economic Society Annual Conference 2003 204, Royal Economic Society.
    • Handle: RePEc:ecj:ac2003:204
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    References listed on IDEAS

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    1. Sylvie Thoron, 1998. "Formation of a Coalition-Proof Stable Cartel," Canadian Journal of Economics, Canadian Economics Association, vol. 31(1), pages 63-76, February.
    2. Debraj Ray & Rajiv Vohra, 2001. "Coalitional Power and Public Goods," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1355-1384, December.
    3. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
    4. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    5. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn.
    6. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
    7. Carsten Helm, 2001. "On the existence of a cooperative solution for a coalitional game with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(1), pages 141-146.
    8. Mariotti, Marco, 1997. "A Model of Agreements in Strategic Form Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 196-217, May.
    9. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    10. Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June.
    11. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    12. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
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    Cited by:

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    2. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, December.

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    More about this item

    Keywords

    coalition formation; normal form games; agreement; cartel; environmental agreement; public good;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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