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Overlapping coalitions, bargaining and networks

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  • Messan Agbaglah

    ()
    (Département d'économique, Université de Sherbrooke)

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    Abstract

    We introduce the game in cover function form, which is a bargaining game of sequential offers for endogenous overlapping coalitions. This extension of games in partition function form removes the restriction to disjoint coalitions. We discuss the existence of equilibria, and we develop an algorithm to compute equilibrium outcomes, under some conditions. We define the key properties that overlapping coalition structures must verify to uniquely identify networks. We show that each network is defined as an equilibrium outcome of a game in cover function form. Our results bridge the two strands of literature devoted to the formation networks and coalitions.

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    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-1402.pdf
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    Bibliographic Info

    Paper provided by Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke in its series Cahiers de recherche with number 14-02.

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    Length: 34 pages
    Date of creation: Mar 2014
    Date of revision:
    Handle: RePEc:shr:wpaper:14-02

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    Keywords: Overlapping coalitions; Bargaining; Network formation; Coalition formation; Game in cover function form; Symmetric game;

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    1. Marcel Fafchamps & Susan Lund, . "Risk Sharing Networks in Rural Philippines," Working Papers 97014, Stanford University, Department of Economics.
    2. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    3. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954, October.
    4. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    5. Antoni Calvó-Armengol & Matthew O. Jackson, 2004. "The Effects of Social Networks on Employment and Inequality," American Economic Review, American Economic Association, vol. 94(3), pages 426-454, June.
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    7. Binmore, K & Shaked, A & Sutton, J, 1985. "Testing Noncooperative Bargaining Theory: A Preliminary Study," American Economic Review, American Economic Association, vol. 75(5), pages 1178-80, December.
    8. Matthew O. Jackson, 2003. "A survey of models of network formation: Stability and efficiency," Working Papers 1161, California Institute of Technology, Division of the Humanities and Social Sciences.
    9. Ambec, Stefan & Treich, Nicolas, 2007. "Roscas as financial agreements to cope with self-control problems," Journal of Development Economics, Elsevier, vol. 82(1), pages 120-137, January.
    10. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    11. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    12. Taiji Furusawa & Hideo Konishi, 2002. "Free Trade Networks," Boston College Working Papers in Economics 548, Boston College Department of Economics, revised 08 Sep 2003.
    13. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
    14. Albizuri, M.J. & Aurrecoechea, J. & Zarzuelo, J.M., 2006. "Configuration values: Extensions of the coalitional Owen value," Games and Economic Behavior, Elsevier, vol. 57(1), pages 1-17, October.
    15. Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer, vol. 18(1), pages 37-44.
    16. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
    17. 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.
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