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 …

-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 …

corresponding sequencing game is defined followed by an analysis of a context-specific rule that leads to core elements of this game …

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

maintained in general. Moreover, an explicit expression for the nucleolus of these games is provided. Copyright Springer …

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 …

of the core of a game on a convex geometry. First, we show that if a game is quasi-convex, then the core is stable. This … result can be seen as an extension of a result by Shapley for traditional cooperative games. Secondly, we show the core on …, we axiomatize the core by means of consistency, as is analogous to a result by Peleg for traditional cooperative games …

balanced and allow a population-monotonic allocation scheme. Possible methods for obtaining core elements are indicated; first … are crucial to the construction of the shortest path. The core and the bargaining sets of Davis-Maschler and Mas … make bids or claims on paths. The core allocations of the cooperative shortest path game coincide with the payoff vectors …

Finding a solution concept is one of the central problems in cooperative game theory, and the notion of core is the …, one or several players with all their subordinates. In these situations, the core in its usual formulation may be … unbounded, making its use difficult in practice. We propose a new notion of core, called the restricted core, which imposes …