We consider the general many-to-one matching model with ordinal preferences and give a procedure to partition the set … of preference profiles into subsets with the property that all preference profiles in the same subset have the same Core … generate as strict extensions all the (complete) preference profiles with the same Core. This is important for applications …

-wise stability and Core. We first establish that the Set-wise stable set is contained in the Core and it contains the non-empty set … competitive equilibrium payoffs. Third, for any number of replicas there is a market with a Core payoff that is not a competitive …

assignment game. We consider the Core, three other notions of group stability and two al- ternative definitions of competitive … equilibrium. We show that (i) each group stable set is closely related with the Core of certain games defined using a proper …