This paper considers the distribution of coalitional influence under probabilistic social choice functions which are randomized social choice rules that allow social indifference by mapping each combination of a preference profile and a feasible set to a social choice lottery over all possible...

By using a line of reasoning similar to the one used by Gibbard (Gibbard A (1973) Econometrica 41: 587-601) in the deterministic framework, we provide a more transparent and intuitive proof of the following random dictatorship result in the probabilistic framework, which is a corollary credited...

We consider probabilistic voting procedures which map each feasible set of alternatives and each utility profile to a social choice lottery over the feasible set. It is shown that if we impose: (i) a probabilistic collective rationality condition known as regularity; (ii) probabilistic...