-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 …

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 …

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 …

important notion in cooperative game theory is the core of the game, as it contains the rational imputations for players. We … propose two definitions for the core of a multichoice game, the first one is called the precore and is a direct generalization … normalization at each level, causing the core to be a convex compact set. We study its properties, introducing balancedness and …

two-sided related market, the midpoint between the buyers-optimal core allocation and the sellers-optimal core allocation … solution belongs to the core of the one-sided market and it is pairwise-monotonic. Copyright Springer-Verlag 2009 …

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