The Minimal Dominant Set is a Nonempty Core Extension
30 Pages Posted: 28 Oct 2002
Date Written: June 2003
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.
Keywords: Core, Non-emptiness, Indirect Dominance, Outsider Independence
JEL Classification: C71
Suggested Citation: Suggested Citation