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László Á. Kóczy
''The minimal dominant set is a non-empty core-extension''
( 2002, Vol. 28 No.8 )
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.
Manuscript Received : Oct 04 2002 Manuscript Accepted : Oct 07 2002

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