We study political distortions that emerge in situations where agents' political power is disproportionate with respect to their economic power. We provide a precise definition which adopts the same measure unit, the Shapley value, to evaluate both the economic and the political power. We show...

Voting Power Indices enable the analysis of the distribution of power in a legislature or voting body which uses weighted voting. Although the approach, based on co-operative game theory, has been known for a long time it has not been very widely applied, in part because of the difficulty of...

Voting Power Indices enable the analysis of the distribution of power in a legislature or voting body in which different members have different numbers of votes. Although this approach to the measurement of power, based on co-operative game theory, has been known for a long time its empirical...

In general, analyses of voting power are performed through the notion of a simple voting game (SVG) in which every voter can choose between two options: 'yes' or 'no'. Felsenthal and Machover (1997) introduced the concept of ternary voting games (TVGs) which recognizes abstention alongside. They...

We explain the issue of the decision rule of the EU's Council of Ministers. We outline, in as non-technical fashion as we can, the mathematical theory (due to L S Penrose) that addresses this sort of issue. We assess the decision rule prescribed in the Nice Treaty as well as that included in the...

Probabilistic measures of a priori voting power are useful tools to asses actors' influence on collective decision-making either for the purpose of designing a voting organ or to model particular policy cases. This paper makes an attempt to reduce a dynamic voting process into a cooperative...

We investigate the computational complexity of several decision problems in hedonic coalition formation games and demonstrate that attaining stability in such games remains NP-hard even when they are additive. Precisely, we prove that when either core stability or strict core stability is under...

This paper develops a new axiomatic characterization of the Banzhaf index of power using four axioms from four different contributions to the area. A nice feature of the characterization is independence of the axioms showing importance of each of them in the exercise.