The Minimal Dominant Set is a Non-Empty Core-Extension

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The Minimal Dominant Set is a Non-Empty Core-Extension

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László Á. Kóczy
Luc Lauwers

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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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Paper provided by Katholieke Universiteit Leuven, Centrum voor Economische Studiën in its series Center for Economic Studies - Discussion papers with number ces0220.

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Date of creation: Mar 2002
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Handle: RePEc:ete:ceswps:ces0220

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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
- Laszlo A. Koczy & Luc Lauwers, 2004. "The minimal dominant set is a non-empty core-extension," IEHAS Discussion Papers 0421, Institute of Economics, Hungarian Academy of Sciences. [Downloadable!]
- 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!]
- 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!]

This paper has been announced in the following NEP Reports:

NEP-ALL-2008-04-12 (All new papers)
NEP-CDM-2008-04-12 (Collective Decision-Making)
NEP-GTH-2008-04-12 (Game Theory)

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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