Power indices are mappings that quantify the influence of the members of a voting body on collective decisions a priori …. Their nonlinearity and discontinuity makes it difficult to compute inverse images, i.e., to determine a voting system which … asymptotic results for large voting bodies and may improve termination criteria for local search algorithms. -- electoral systems …

A voting situation is given by a set of voters and the rules of legislation that determine minimal requirements for a … group of voters to pass a motion. A priori measures of voting power, such as the Shapley-Shubik index and the Banzhaf value …, show the influence of the individual players in a voting situation and are calculated by looking at marginal contributions …