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The minimal dominant set is a non-empty core-extension

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  • Koczy, Laszlo A.
  • Lauwers, Luc

Abstract

A set of outcomes for a TU-game in characteristic function form is dominant if it is, with respect to an outsider-independent dominance relation, accessible (or admissible)and closed. This outsider-independent dominance relation is restrictive in the sense that a deviating coalition cannot determine the payoffs of those coalitions that are not involved in the deviation. The minimal (for inclusion) dominant set is non-empty and for a game with a non-empty coalition structure core, the minimal dominant set returns this core.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 61 (2007)
Issue (Month): 2 (November)
Pages: 277-298

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Handle: RePEc:eee:gamebe:v:61:y:2007:i:2:p:277-298

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Web page: http://www.elsevier.com/locate/inca/622836

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  1. Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, Elsevier, vol. 6(3), pages 512-526, May.
  2. László Á. Kóczy & Luc Lauwers, 2001. "The Coalition Structure Core is Accessible," Game Theory and Information, EconWPA 0110001, EconWPA, revised 26 Jun 2002.
  3. Greenberg, Joseph, 1994. "Coalition structures," Handbook of Game Theory with Economic Applications, Elsevier, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 37, pages 1305-1337 Elsevier.
  4. Sengupta, Abhijit & Sengupta, Kunal, 1994. "Viable Proposals," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 347-59, May.
  5. E. Kalai & D. Schmeidler, 1975. "An Admissible Set Occurring in Various Bargaining Situations," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 191, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Sengupta, Abhijit & Sengupta, Kunal, 1996. "A Property of the Core," Games and Economic Behavior, Elsevier, Elsevier, vol. 12(2), pages 266-273, February.
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Cited by:
  1. Yang, Yi-You, 2010. "On the accessibility of the core," Games and Economic Behavior, Elsevier, Elsevier, vol. 69(1), pages 194-199, May.
  2. Péter Szikora, 2013. "Introduction into the literature of cooperative game theory with special emphasis on dynamic games and the core," Proceedings- 11th International Conference on Mangement, Enterprise and Benchmarking (MEB 2013), Óbuda University, Keleti Faculty of Business and Management, Óbuda University, Keleti Faculty of Business and Management.

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