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Overlapping coalitions, bargaining and networks

  • Messan Agbaglah

    ()

    (Département d'économique, Université de Sherbrooke)

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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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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  1. Kalyan Chatterjee & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Oxford University Press, vol. 60(2), pages 463-477.
  2. Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(1), pages 37-44.
  3. Marcel Fafchamps & Susan Lund, . "Risk Sharing Networks in Rural Philippines," Working Papers 97014, Stanford University, Department of Economics.
  4. Debraj Ray & Rajiv Vohra, 1996. "A Theory of Endogenous Coalition Structure," Papers 0068, Boston University - Industry Studies Programme.
  5. 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.
  6. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  7. Furusawa, Taiji & Konishi, Hideo, 2007. "Free trade networks," Journal of International Economics, Elsevier, vol. 72(2), pages 310-335, July.
  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. 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.
  10. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  11. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  12. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954, June.
  13. 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.
  14. 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.
  15. 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.
  16. Siddhartha Bandyopadhyay & Kalyan Chatterjee, 2006. "Coalition Theory and its Applications: A Survey," Economic Journal, Royal Economic Society, vol. 116(509), pages F136-F155, 02.
  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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