Pattanaik and Peleg showed that the power structure under a probabilistic voting procedure which satisfies regularity, ex-post Pareto optimally and independance of irrelevant alternatives is almost completely characterized by random dictatorship. Their characterization is not complete because it...

This paper considers the distribution of coalitional influence under probabilistic social choice correspondences, which are randomized social choice rules that map each combination of a preference profile and a feasible subset of the universal set to a social choice lottery over the subsets of...