The core of an assignment market is the translation, by the vector of minimum core payoffs, of the core of another … analyzed. The kernel and the nucleolus of the assignment game, are proved to be the translation of the kernel and the nucleolus … of the canonical representative by the vector of minimal core payoffs. …

-solution exists and is unique. It belongs to the bargaining set and to the core whenever the latter is not empty. In fact, when the …

prove that this game has a non-empty core for identical and independent demand processes. Hence, consolidation does not only …

assignment game. We consider the Core, three other notions of group stability and two alternative 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 …

-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 …

coincide and give the midpoint between the buyers-optimal core allocation and the sellers-optimal core allocation, and thus … they belong to the core. Moreover, under the assumption that all agents in the market are active, the subset of core … set of stable allocations where each agent is paid at least half of his maximum core payoff. All allocations in this last …

matching, a stable set is defined as the union of the core of the game and the core of the subgames that are compatible with … usually defined on the core. …

geometric and algebraic structure of the core, which is always nonempty. We also characterize the extreme points of the core and … we show that prices that are obtained from core allocations are competitive and vice versa. …

. Those max-payoff vectors that are efficient turn up to give the extreme core allocations of the market. When the assignment … market has large core (that is to say, the assignment matrix is dominant diagonal and doubly dominant diagonal) all the max …-payoff vectors are extreme core allocations. …