The concept of fair representation of voters in a committee representing different voters' groups, such as national representations in union of states, is discussed. This concept, introduced into discussion about voting rights in the Council of European Union in 2004, was narrowed to proposal of...

The Coleman Power of the Collectivity to Act (CPCA) is a popular statistic that reflects the ability of a committee to pass a proposal. Applying the Shapley value to this measure, we derive a new power index that indicates each voter's contribution to the CPCA. This index is characterized by...

The member states have self-interested objectives and they use their voting power in the Council of Ministers (CM) to maximize their shares from the EU budget, whereas European Parliament (EP) uses its power to support benevolent objectives and equality between member states. Given the current...

The European Union (EU) is not de jure a federation, but after 50 years of institutional evolution it possesses attributes of a federal state. One can conclude that EU is something betweenʺ federation and intergovernmental organization. If we measure something betweenʺ by interval [0, 1],...

The European Union used to make decisions by unanimity or near unanimity. After a series of extensions, with 27 member states the present decision making mechanisms have become very slow and assigned power to the members in an arbitrary way. The new decision rules accepted as part of the Lisbon...

Power indices suggest that adding new members to a voting body may increase the power of an existing member, even if the number of votes of all existing members and the decision rule remain constant. This phenomenon is known as the paradox of new members. This paper uses the leading model of...

Power indices suggest that adding new members to a voting body may increase the power of an existing member, even if the number of votes of all existing members and the decision rule remain constant. This phenomenon is known as the paradox of new members. This paper shows that the paradox has...