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

L.Á. Kóczy*, L. Lauwers

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


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 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. Each game generates a unique minimal (for inclusion) dominant set. This minimal dominant set is non-empty and returns the coalition structure core in case this core is non-empty. We provide an algorithm to find the minimal dominant set.
Original languageEnglish
Pages (from-to)277-298
Number of pages22
JournalGames and Economic Behavior
Issue number2
Publication statusPublished - 1 Jan 2007


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