ABSTRACT
Weighted voting games analyses the distribution of the decision power of a nation in a supranational organisation like the Council of Ministers of the European Union, the Security Council of the United Nations or the International Monetary Fund. The new voting rule proposed by the Intergovernmental Conference in order to draw up a future European Treaty changes the power of the countries in the Council in a very remarkable way. Cooperative games under combinatorial restrictions are cooperative games in which the players have restricted communication possibilities, which are defined by a combinatorial structure. The chapter analyses the European Cluster Game by using the restricted co-operation model derived from a combinatorial structure called the augmenting system. It presents the implementation of the algorithms used in this work in the computer system Mathematica. The voting method approved for incorporation to the European Constitution, at the summit of Brussels, is based on a double voting system and a blocking clause.
