-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 …

The nucleolus offers a desirable payoff-sharing solution in cooperative games, thanks to its attractive properties …. Although computing the nucleolus is very challenging, the Kohlberg criterion offers a method for verifying whether a solution … is the nucleolus in relatively small games (number of players n at most 15). This approach becomes more challenging for …

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

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