The Minimal Dominant Set is a Non-Empty Core-Extension
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.
|Date of creation:||Jun 2003|
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- László Á. Kóczy & Luc Lauwers, 2001.
"The Coalition Structure Core is Accessible,"
Game Theory and Information
0110001, EconWPA, revised 26 Jun 2002.
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- 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.
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