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 …

It is well-known that the core on several domains of cooperative transferable utility (TU) and nontransferable utility … is shown that, if communication structures are present, the core may still be characterized on balanced TU games, on … totally balanced TU games, on NTU games with a nonempty core, on the domains of all TU or NTU games, and on several other …

We consider several related set extensions of the core and the anticore of games with transferable utility. An … polytopes with a core-like structure. One of these polytopes is the <InlineEquation ID="IEq1"> <EquationSource Format … all these sets coincide. These three sets also coincide with the core for balanced games and with the anticore for …

the NSPKs and NSPNs and their relations to the positive prekernel and to the positive core. It turns out that any NSPK is … them being subsolutions of the positive core. We show that any NSPN is a subsolution of the positive core provided that it …

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 …