A solution on a class of TU games that satisfies the axioms of the pre-nucleolus or -kernel except the equal treatment … property and is single valued for two-person games, is a nonsymmetric pre-nucleolus (NSPN) or -kernel (NSPK). We investigate … the NSPKs and NSPNs and their relations to the positive prekernel and to the positive core. It turns out that any NSPK is …

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

There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that … this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also … coincide. To show this, we prove that the nucleolus of an assignment game coincides with that of its buyer–seller exact …