study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods …

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 …

combinations of one and two person coalitions.Secondly it is shown that MLTS games with ¯ve or less players have a nonempty core ….However, a six player MLTS game may have an empty core.For the special instance where the reward between a pair of nodes is equal … to 0 or 1, we provide relations between the structure of the core and the underlying network. …

distributive lattice, hence generated by a partial order on the set of players. Its core may be unbounded, and the bounded core …, which is the union of all bounded faces of the core, proves to be a useful solution concept in the framework of games with … precedence constraints. Replacing the inequalities that define the core by equations for a collection of coalitions results in a …

distributive lattice, hence generated by a partial order on the set of players. Its core may be unbounded, and the bounded core …, which is the union of all bounded faces of the core, proves to be a useful solution concept in the framework of games with … precedence constraints. Replacing the inequalities that define the core by equations for a collection of coalitions results in a …

core …

cooperative equilibria, especially as the number of players increases without bound. The core and the Shapley value are the …