-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 …

algorithm for calculating the nucleolus. Copyright Springer-Verlag 2006 …

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 …

modifications of the Shapley value. We axiomatically characterize these two solutions and study their relation to the strong core …

expression for the nucleolus of these games is provided. Copyright Springer-Verlag Berlin Heidelberg 2013 …

Various least core concepts including the classical least core of cooperative games are discussed. By a reduction from … spanning tree games. As a consequence, computing the nucleolus, the nucleon and the per-capita nucleolus of minimum cost …

order is specified. We associate cooperative games with these sequencing situations, study their core, and provide links …

game with transferable utility. We propose two allocations, and discuss their relation to the core and other well …