We provide an axiomatic characterization of a family of criteria for ranking completely uncertain decisions. A completely uncertain decision is described by the set of all its consequences (assumed to be finite). Each of the criterions characterized can be thought of as assigning to all...

Under approval voting, each voter can nominate as many candidates as she wishes and the election winners are those candidates that are nominated most often. A voter is said to have voted sincerely if she prefers all those candidates she nominated to all other candidates. As there can be a set of...