This paper investigates the suitability of apportionment methods based on the idea of preserving the coalition function of the simple game represented by the populations of the states. The results show that an apportionment method which satisfies desirable properties such as population...

The traditional voting games are special transferable utility cooperative games, so-called simple games, where the players are the parties and the value of a coalition may be 1 or 0 depending on the ability of the coalition to pass a motion or not. In this paper we introduce general weighted...

Voting power in voting situations is measured by the probability of changing decisions by altering the cast 'yes' or 'no' votes. Recently this analysis has been extended by strategic abstention. Abstention, just as 'yes' or 'no' votes can change decisions. This theory is often applied to...

We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The latter combine a standard TU game and a probability distribution over the set of coalitions. Player i's prediction value equals the difference between the conditional...

In this paper we analyze the consequences of the fairness recommendation of the Venice Commission in allocating voting districts among larger administrative regions. This recommendation requires the size of any constituency not to differ from the average constituency size by more than a fixed...

The possible exit of the United Kingdom from the European Union will have profound economic and political effects. Here we look at a particular aspect, the power distribution in the Council of the European Union. Since the Lisbon treaty the exit does not require new negotiations as the success...

We conducted a sensitivity analysis of the results of weighted voting experiments by varying two features of the experimental protocol by Montero et al. (2008): (1) the way in which the roles of subjects are reassigned in each round (random role, RR, versus fixed role, FR) and (2) the number of...

We study the problem of aggregating private information in elections with two or more alternatives. We characterize environments where information can be aggregated asymptotically by a sequence of equilibria of voting games as the electorate grows large and explore the implications for the...

The exit of the United Kingdom from the European Union has had profound economic and political effects. Here, we look at a particular aspect, the power distribution in the Council of the European Union. Using the Shapley-Shubik power index, we calculate the member states' powers with and without...

Few elections attract so much attention as the Papal Conclave that elects the religious leader of over a billion Catholics worldwide. The Conclave is an interesting case of qualified majority voting with many participants and no formal voting blocks. Each cardinal is a wellknown public gure with...