The distribution of power in the European Cluster Game

Cooperative games under combinatorial restrictions are cooperative games in which the players have restricted communication possibilities, which are defined by a combinatorial structure. This paper provides a “ready-to-apply” procedure to compute the Shapley-Shubik index power of games restricted by combinatorial structures. These restrictions are determined by the positions of the players in a communication graph or in a permission structure. We study the European Cluster Game defined by a partition of the states of the European Union. We consider six blocks according to the distinction between large, medium and small members. Furthermore, we present the implementation of the algorithms in the computer system Mathematica.