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

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

Author Info

Laszlo A. Koczy () (Department of Economics, University of Maastricht)
Luc Lauwers () (Centre for Economic Studies, Katholieke Universiteit Leuven)

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Abstract

A set of outcomes for a transferable utility 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. We provide an algorithm to find the minimal dominant set.

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Paper provided by Institute of Economics, Hungarian Academy of Sciences in its series IEHAS Discussion Papers with number 0421.

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Length: 25 pages
Date of creation: Dec 2004
Date of revision:
Handle: RePEc:has:discpr:0421

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Article
- Koczy, Laszlo A. & Lauwers, Luc, 2007. "The minimal dominant set is a non-empty core-extension," Games and Economic Behavior, Elsevier, vol. 61(2), pages 277-298, November. [Downloadable!] (restricted)
Paper
- László Á. Kóczy & Luc Lauwers, 2003. "The Minimal Dominant Set is a Non-Empty Core-Extension," Working Papers 2003.50, Fondazione Eni Enrico Mattei. [Downloadable!]
- László Á. Kóczy & Luc Lauwers, 2002. "The Minimal Dominant Set is a Non-Empty Core-Extension," Game Theory and Information 0210002, EconWPA. [Downloadable!]
- László Á. Kóczy & Luc Lauwers, 2002. "The Minimal Dominant Set is a Non-Empty Core-Extension," Center for Economic Studies - Discussion papers ces0220, Katholieke Universiteit Leuven, Centrum voor Economische Studiën. [Downloadable!]
- Kóczy,László Á. & Lauwers,Luc, 2004. "The minimal dominant set is a non-empty core-extension," Research Memoranda 018, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

Sengupta, Abhijit & Sengupta, Kunal, 1996. "A Property of the Core," Games and Economic Behavior, Elsevier, vol. 12(2), pages 266-273, February. [Downloadable!] (restricted)
Greenberg, Joseph, 1994. "Coalition structures," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 37, pages 1305-1337 Elsevier. [Downloadable!] (restricted)
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, vol. 35(2), pages 347-59, May. [Downloadable!] (restricted)
E. Kalai & D. Schmeidler, 1975. "An Admissible Set Occurring in Various Bargaining Situations," Discussion Papers 191, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
Other versions:
- Kalai, Ehud & Schmeidler, David, 1977. "An admissible set occurring in various bargaining situations," Journal of Economic Theory, Elsevier, vol. 14(2), pages 402-411, April. [Downloadable!] (restricted)
Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May. [Downloadable!] (restricted)
Koczy, Laszlo A. & Lauwers, Luc, 2004. "The coalition structure core is accessible," Games and Economic Behavior, Elsevier, vol. 48(1), pages 86-93, July. [Downloadable!] (restricted)
Other versions:
- László Á. Kóczy & Luc Lauwers, 2002. "The Coalition Structure Core is Accessible," Center for Economic Studies - Discussion papers ces0219, Katholieke Universiteit Leuven, Centrum voor Economische Studiën. [Downloadable!]
- László Á. Kóczy & Luc Lauwers, 2001. "The Coalition Structure Core is Accessible," Game Theory and Information 0110001, EconWPA, revised 26 Jun 2002. [Downloadable!]

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