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Overlapping Coalitions, Bargaining and Networks

  • Messan Agbaglah

    (Département de Sciences Economiques and CIREQ, Université de Montréal)

  • Lars Ehlers

    (Département de Sciences Economiques and CIREQ, Université de Montréal)

This paper extends the theory of endogenous coalition formation, with complete information and transferable utility, to the overlapping case. We propose a cover function bargaining game which allows the formation of overlapping coalitions at equilibrium. We show the existence of subgame perfect equilibrium and provide an algorithm to compute this equilibrium in the symmetric case. As an application, we establish an interesting link with the formation of networks.

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Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2010.116.

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Date of creation: Sep 2010
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Handle: RePEc:fem:femwpa:2010.116
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  1. 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.
  2. 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.
  3. 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.
  4. Debraj Ray & Rajiv Vohra, 1998. "A Theory of Endogenous Coalition Structures," Working Papers 98-1, Brown University, Department of Economics, revised Jan 1998.
  5. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  6. Taiji Furusawa & Hideo Konishi, 2002. "Free Trade Networks," Boston College Working Papers in Economics 548, Boston College Department of Economics, revised 08 Sep 2003.
  7. 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.
  8. Matt Jackson, 2003. "The Effects of Social Networks on Employment and Inequality," Theory workshop papers 658612000000000032, UCLA Department of Economics.
  9. 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.
  10. Marcel Fafchamps & Susan Lund, . "Risk Sharing Networks in Rural Philippines," Working Papers 97014, Stanford University, Department of Economics.
  11. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  12. Siddhartha Bandyopadhyay & Kalyan Chatterjee, 2006. "Coalition Theory and its Applications: A Survey," Economic Journal, Royal Economic Society, vol. 116(509), pages F136-F155, 02.
  13. 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.
  14. 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.
  15. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954, March.
  16. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  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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