We study voting mechanisms, which consist of two elements: a profile of sets of votes (this profile describes the votes that voters are allowed to cast) and a voting scheme (which explains how to aggregate those votes). To investigate how these two elements interact, we impose some properties on the sets of votes (i.e., regularity ) and on the voting scheme (i.e., candidate monotonicity, candidate anonymity, and weak neutrality ). We characterize the family of voting schemes that satisfy some of those properties and analyze the role played by the structure of the sets of votes in these characterizations. Voting, approval voting rule, plurality rule, monotonicity, anonymity, neutrality, qualified votin
