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 …

We use the Shapley value and the nucleolus to analyze the impact of three controversial pipeline projects on the power … nucleolus in contrast, none of the pipelines has any strategic relevance at all, which appears to be at odds with the empirical …

of ones. We then define the balanced-core as a refinement ofthe core. A payoff vector lies in the balanced-core if it … lies in the core andthe payoff vector is an element of payoff sets of all graphs in some balanced collection ofgraphs. We … prove that any balanced graph game has a nonempty balanced-core.We conclude by some examples showing the usefulness of the …