allowing all its members to get the service that generates the revenues. We focus on the study of the core of cost … consideration to all its members, it is shown that a cost-revenue game has a nonempty core for any vector of revenues if, and only … if, the dual game of the cost game has a large core. Using this result, we investigate minimum cost spanning tree games …

the discipline. After the presentation of some basic definitions, the focus will be on the core and the Shapley value, two …

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 …

Maschler et al. (1979) provide a geometrical characterization for the intersection of the kernel and the core of a … each pair of players. In the case of the assignment game, this means that the kernel can be determined as those core … allocations where the maximum amount, that can be transferred without getting outside the core, from one agent to his …

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 …

considering the union of the core of the game and the core of the subgames that are compatible with this matching. We prove in the … assignment game, have a lattice structure with respect to the same partial order usually defined on the core. …