The core of a monotonic transferable utility (TU) game is shown to be the set of prices that incentivize each … public goods. It is also shown that the core is the intersection of superdifferentials evaluated at the grand coalition of … the covers of person-specific TU games derived from the original game. These characterizations of the core demonstrate how …

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 …