Collectively rational voting rules for simple preferences
This paper discusses transitivity of social preference relations and weaker versions of it. Two kinds of restricted domains of individual preferences are considered. The first is characterized by all preferences having at most two indifference classes. The other is characterized by any set of three alternatives being partitioned into two non-empty subsets such that alternatives in one set are strictly preferred to alternatives in the other set. It is proved that, for fixed such domains, among the voting rules satisfying monotonicity, anonymity and neutrality, majority voting is the unique satisfying transitivity, although other voting rules satisfy acyclicity.
scientific article; zbMATH DE number 5933148
scientific article