We study the efficient computation of power indices for weighted voting games with precoalitions amongst subsets of … algorithms for the three most common power indices with precoalitions, i.e., the Owen index, the Banzhaf-Owen index and the … discuss implementations of our algorithms for the three power indices with precoalitions in C++ and review computing times, as …

Power indices have been used to evaluate the allocation of power in a wide range of voting situations. While they use … the language of game theory known measures of a priori voting power are hardly more than statistical expectations assuming …. For normalised indices strategic rejection may increase power. Our notion of a strategic power index is well defined if …

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 … property that stipulates that sum of the voters' power equals the CPCA. Similar to the Shapley-Shubik index (SSI) and the …

in every partition there is at least one winning coalition. In the present paper, we introduce a power index for this …Simple games in partition function form are used to model voting situations where a coalition being winning or losing … might depend on the way players outside that coalition organize themselves. Such a game is called a plurality voting game if …

square roots of population. Such a distribution should guarantee the same indirect voting power to each EU citizen, measured … by Penrose-Banzhaf index of voting power. In this paper we attempt to clarify this concept. -- Council of Ministers … ; indirect voting power ; Penrose-Banzhaf power index ; Shapley-Shubik power index ; square root rule ; simple voting game …

is at least one winning coalition. Such a game is said to be precisely supportive if it is possible to assign weights to … players in such a way that a coalition being winning in a partition implies that the combined weight of its members is maximal … coalition. We show that decisive plurality games with at most four players, majority games with an arbitrary number of players …

Power indices have been used to evaluate the allocation of power in a wide range of voting situations. While they use … the language of game theory known measures of a priori voting power are hardly more than statistical expectations assuming …. For normalised indices strategic rejection may increase power. Our notion of a strategic power index is well defined if …

In general, analyses of voting power are performed through the notion of a simple voting game (SVG) in which every … interpretation of power provides a unifying characterization of analogues of the Banzhaf (Bz) measure. Second, using the … the voting power of any two voters (according to various measures of voting power) approaches the ratio between their …

Experiments evaluate the fit of human behaviour to the Shapley-Shubik power index (SSPI), a formula of voter power … measured power. Chat rooms and processes for selecting subjects reduce or eliminate extraneous forces. Logrolling remains as … values. The SSPI can serve as a control for power imbedded in voting blocs, permitting fuller analysis of other factors that …