Coalition Formation Under Dominance Invariance

Abstract An abstract game satisfies Dominance Invariance if the indirect and direct dominance relations, or myopic farsighted dominance, are equivalent. Mauleon et al. (Int J Game Theory 43(4):925–943, 2014) study as an attractive condition that eliminates differences between a solution concept its counterpart. We show can also be used to eliminate various concepts in any game. Together with additional called No Infinite Chains, implies existence uniqueness of stable set, equivalence largest consistent set (strong) rational expectations when latter exists. This both do not suffer from problem maximality under these conditions.