Consistency, converse consistency, and aspirations in coalitional games

In the problems of choosing "aspirations" for coalitional games, we study two axioms, "MW-consistency" and "converse MW-consistency",introduced by Moldovanu and Winter (1994). We mainly consider two domains: thedomain of all NTU games and the domain of all TU games. In particular, westudy which subsolutions of the aspiration correspondence satisfy MW-consistency and/or converse MWconsistency. We also provide axiomatic characterizations of the aspiration kernel and the aspiration nucleolus on the domain of all TU games.