The minimal dominant set is a non-empty core-extension
AbstractA 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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Bibliographic InfoPaper provided by Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences in its series IEHAS Discussion Papers with number 0421.
Length: 25 pages
Date of creation: Dec 2004
Date of revision:
dynamic solution; absorbing set; core; non-emptiness;
Other versions of this item:
- László Á. Kóczy, 2002. "The minimal dominant set is a non-empty core-extension," Economics Bulletin, AccessEcon, vol. 28(8), pages A0.
- 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.
- 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.
- 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.
- László Á. Kóczy & Luc Lauwers, 2002. "The Minimal Dominant Set is a Non-Empty Core-Extension," Game Theory and Information 0210002, EconWPA.
- László Á. Kóczy & Luc Lauwers, 2003. "The Minimal Dominant Set is a Non-Empty Core-Extension," Working Papers 2003.50, Fondazione Eni Enrico Mattei.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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Center for Economic Studies - Discussion papers
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