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 … obtained by ordering the sums of the absolute values of the excesses of coalitions and the absolute values of the excesses of …

This paper presents two characterizations of the core on the domain of all NTU games. One is based on consistency with … compatible with non-emptiness. We discuss axiomatic characterizations involving conditional individual rationality for the core …

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 …

This article considers single-valued solutions of transferable utility cooperative games that satisfy core selection … arbitrary set of players, core selection and aggregate monotonicity are compatible with individual rationality, the dummy player …

substitute of the core. The new existence results obtained in the present paper concern also the case when the coalitional …