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A recursive core for cooperative games with overlapping coalitions

Listed author(s):
  • Messan Agbaglah

    ()

    (Département d'économique, Université de Sherbrooke)

This paper develops an extension of the recursive core to the setting of overlapping coalitions. We show that the cooperative game theoretical traditional way of separating a deviant coalition from the game played by the ones left behind is no more satisfactory. We therefore introduce a new paradigm with which we obtain the overlapping coalition structure core whose allocations are Pareto-efficient.

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File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-1407.pdf
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Paper provided by Departement d'Economique de l'École de gestion à l'Université de Sherbrooke in its series Cahiers de recherche with number 14-07.

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Length: 18 pages
Date of creation: Oct 2014
Handle: RePEc:shr:wpaper:14-07
Contact details of provider: Postal:
Sherbrooke, Québec, J1K 2R1

Phone: (819) 821-7233
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Web page: http://www.gredi.org/home/documents-de-travail
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  1. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
  2. Henry Tulkens & Parkash Chander, 1997. "The Core of an Economy with Multilateral Environmental Externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 379-401.
  3. 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.
  4. Messan Agbaglah, 2017. "Overlapping coalitions, bargaining and networks," Theory and Decision, Springer, vol. 82(3), pages 435-459, March.
  5. 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.
  6. Huang, Chen-Ying & Sjostrom, Tomas, 2003. "Consistent solutions for cooperative games with externalities," Games and Economic Behavior, Elsevier, vol. 43(2), pages 196-213, May.
  7. 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.
  8. Siddhartha Bandyopadhyay & Kalyan Chatterjee, 2006. "Coalition Theory and its Applications: A Survey," Economic Journal, Royal Economic Society, vol. 116(509), pages 136-155, February.
  9. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
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