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 …

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 …