Voting Power in the EU Council of Ministers and Fair Decision Making in Distributive Politics

We analyze and evaluate the different decision rules describing the Council of Ministers of the EU starting from 1958 up to date. All the existing studies use the Banzhaf index (for binary voting) or the Shapley-Shubik index (for distributive politics). We argue that the nucleolus can be considered an appropriate power measure in distributive situations and an alternative to the Shapley-Shubik index. We then calculate the nucleolus and compare the results of our calculations with the conventional measures. In the second part, we analyze the power of the European citizens as measured by the nucleolus under the egalitarian criterion proposed by Felsenthal and Machover (1998), and characterize the first best situation. Based on these results we propose a methodology for the design of the optimal (fair) decision rules. We perform the optimization exercise for the earlier stages of the EU within a restricted domain of voting rules, and conclude that Germany should receive more than the other three large countries under the optimal voting rule.

A new analysis of a priori voting power in the IMF : recent quota reforms give little cause for celebration

The weighted voting system used by the International Monetary Fund creates problems of democratic legitimacy since each member's influence or voting power is not in general equal to its voting weight. Using voting power analysis to analyse both the Board of Governors and the Executive Board, we show that it tends to enhance the power of the United States at the expense of all other members. We investigate the constituency system as a form of representative democracy, idealizing it as a compound voting body, and find that it gives disproportionately large power to some smaller European countries, particularly Belgium and Netherlands. We also find that many countries are effectively disenfranchised. Separate analyses are done for 2006 and 2012, before and after recent reforms, which have been billed as being radical, enhancing the voice of the poor and emerging markets, but the effects are disappointingly small

Voting Power Implications of a Unified European Representation at the IMF

We consider some of the implications of a proposed reform of the voting system of the IMF in which EU countries cease to be separately represented and are replaced by a single combined representative of the European bloc. The voting weight of the EU bloc is reduced accordingly. We analyse two cases: the Eurozone of 12 countries and the European Union of 25. Using voting power analysis we show that the reform could be very beneficial for the governance of the IMF, enhancing the voting power of individual member countries as a consequence of two large countervailing voting blocs. Specifically we analyse a range of EU voting weights and find the following for ordinary decisions requiring a simple majority: (1) All countries other than those of the EU and USA unambiguously gain power (measured absolutely or relatively); (2) The sum of powers of the EU bloc and USA is minimized when they have voting parity ; (3) The power of every other non-EU member is maximized when the EU and USA have parity ; (4) Each EU member could gain power - despite losing its seat and the reduction in EU voting weight - depending on the EU voting system that is adopted ; (5) The USA loses voting power (both absolutely and relatively) over ordinary decisions but retains its unilateral veto over special majority (85%) decisions (as does the EU bloc).IMF ; European Union ; Voting Power Indices ; Penrose Index ; Banzhaf Index

Power indices and the measurement of control in corporate structures

This paper proposes a brief review of the use of power indices in the corporate governance literature. Without losing sight of the field of application, it places the emphasis on the game-theoretic aspects of this research and on the issues that arise in this framework

Voting Power and Voting Blocs

We investigate the applicability of voting power indices, in particular the Penrose index (aka absolute Banzhaf index), in the analysis of voting blocs by means of a hypothetical voting body. We use the power of individual bloc members to study the implications of the formation of blocs and how voting power varies as bloc size varies. This technique of analysis has many real world applications to legislatures and international bodies. It can be generalised in many ways : the analysis is a priori (assuming formal voting and ignoring actual voting behaviour) but can be made empirical with voting data ; it examines the consequences of two blocs but can easily be extended to more.

Power analysis of voting by count and account

summary:Using players’ Shapley–Shubik power indices, Peleg [4] proved that voting by count and account is more egalitarian than voting by account. In this paper, we show that a stronger shift in power takes place when the voting power of players is measured by their Shapley–Shubik indices. Moreover, we prove that analogous power shifts also occur with respect to the absolute Banzhaf and the absolute Johnston power indices

A Relation-algebraic Approach to Simple Games

Simple games are a powerful tool to analyze decision-making and coalition formation in social and political life. In this paper, we present relation-algebraic models of simple games and develop relational algorithms for solving some basic problems of them. In particular, we test certain fundamental properties of simple games (being monotone, proper, respectively strong) and compute specific players (dummies, dictators, vetoers, null players) and coalitions (minimal winning coalitions and vulnerable winning coalitions). We also apply relation-algebra to determine central and dominant players, swingers and power indices (the Banzhaf, Holler-Packel and Deegan-Packel indices). This leads to relation-algebraic specifications, which can be executed with the help of the BDD-based tool RelView after a simple translation into the tool's programming language. In order to demonstrate the visualization facilities of RelView we consider an example of the Catalonian Parliament after the 2003 election.relation algebra; RelView; simple game; winning coalition; swinger; dominant player; central player; power index