-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 …

On the domain of two-sided assignment markets, the nucleolus is axiomatized as the unique solution that satisfies … characterization of the nucleolus by means of a strong form of the bisection property that characterizes the inter- section between the … core and the kernel of a coalitional game in Maschler et al (1979). …

(Definition 4.4) and completeness (Definition 4.8). For this class we prove that the core, resp., the nucleolus when the core is … complete Eulerian graphs having the 4-cut property, we are able to test core membership in O(n) time, and when the core is not … empty, we show how to calculate the nucleolus in O(n^2) time, n being the number of players. …

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. …

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

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

This paper discusses the core of the game corresponding to the standard fixed tree problem. We introduce the concept of … a weighted constrained egalitarian solution. The core of the standard fixed tree game equals the set of all weighted …

This paper discusses the core of the game corresponding to the standard fixed tree problem. We consider the weighted … adaptation of the constrained egalitarian solution of Dutta and Ray (1989). The core of the standard fixed tree game equals the …