In this paper we propose a simple model for measuring ‘success’ or ‘decisiveness’ in voting situations. For an assessment of these features two inputs are claimed to be necessary: the voting rule and the voters’ behavior. The voting rule specifies when a proposal is to be accepted or...

We provide an axiomatic foundation of the expected utility preferences over lotteries on roles in simple superadditive games represented by the two main power indices, the Shapley-Shubik index and the Banzhaf index, when they are interpreted as von Neumann-Morgenstern utility functions. Our...

Based on a general model of the 'quaternary' voting rule, sensitive to voters' choices between four different options (abstaining, voting 'yes', voting 'no' and staying at home), we systematically study different types of majority and quorum. The model allows for a precise formulation of...