We prove that both the nucleolus and the core-center, i.e., the mass center of the core, of an m-sided Böhm …-Bawerk assignment market can be respectively computed from the nucleolus and the core-center of a convex game defined on the set of m … agents but one need to be taken into account. All these results simplify the computation of the nucleolus and the core …

coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …

corresponding resource allocation games. It is shown that these games have a non-empty core and thus allow for stable allocations …. Moreover, an explicit expression for the nucleolus of these games is provided. …

theoretic perspective. A corresponding preparation sequencing game is defined and the focus is on the core and nucleolus of such …

We provide explicit formulas for the nucleolus of an arbitrary assignment game with two buyers and two sellers. Five …

game is associated and the proportional distribution arises as a natural core allocation. We describe a necessary and … sufficient condition for which the core of the game shrinks to the proportional distribution. Furthermore, we characterize … axiomatically the proportional distribution by means of three properties: core-selection, core-invariance and resource monotonicity …

-home allocation, both inspired by the painting story in Maschler et al. (1995) . We show, in a constructive way, that the core equals … alternative proof of the fact that the core of a standard fixed tree game equals the set of weighted Shapley values. The class of … weighted neighbour allocations is a generalization of the nucleolus, in the sense that the latter is in this class as the …

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 …

-home allocation, both inspired by the painting story in Maschler et al. (1995) . We show, in a constructive way, that the core equals … alternative proof of the fact that the core of a standard fixed tree game equals the set of weighted Shapley values. The class of … weighted neighbour allocations is a generalization of the nucleolus, in the sense that the latter is in this class as the …