well-known that the strict core of such a game may be empty, single-valued, or multi-valued. We define a condition on such … core allocation in the model with no indifference). We prove that a game has a nonempty strict core if and only if it is … either a strict core allocation or a report that the strict core is empty. Finally, we are also able to construct a linear …

negative costs on edges and vertices. Among the properties studied are the nonemptiness of the core, characterization of … nonredundant core constraints, ease of computation of the core and the nucleolus, and cases of decomposition of the core and the …