An element of the possibly unbounded core of a cooperative game with precedence constraints belongs to its bounded core … if any transfer to a player from any of her subordinates results in payoffs outside the core. The bounded core is the … union of all bounded faces of the core, it is nonempty if the core is nonempty, and it is a continuous correspondence on …

An element of the possibly unbounded core of a cooperative game with precedence constraints belongs to its bounded core … if any transfer to a player from any of her subordinates results in payoffs outside the core. The bounded core is the … union of all bounded faces of the core, it is nonempty if the core is nonempty, and it is a continuous correspondence on …

generated by a partial order on the set of players. In such a situation, the core may be unbounded, and one has to select a … bounded part of the core as a solution concept. The restricted core is obtained by imposing equality constraints in the core … for sets belonging to so-called normal collections, resulting (if nonempty) in the selection of a bounded face of the core …

generated by a partial order on the set of players. In such a situation, the core may be unbounded, and one has to select a … bounded part of the core as a solution concept. The restricted core is obtained by imposing equality constraints in the core … for sets belonging to so-called normal collections, resulting (if nonempty) in the selection of a bounded face of the core …

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 …

We generalize the characterizations of the positive core and the positive prekernel to TU games with precedence … constraints and show that the positive core is characterized by non-emptiness (NE), boundedness (BOUND), covariance under … generalized Davis-Maschler reduced games, and the possibility of nondiscrimination. The bounded positive core, i.e., the union of …

We generalize the characterizations of the positive core and the positive prekernel to TU games with precedence … constraints and show that the positive core is characterized by non-emptiness (NE), boundedness (BOUND), covariance under … generalized Davis-Maschler reduced games, and the possibility of nondiscrimination. The bounded positive core, i.e., the union of …

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 …