Characterization of tie-breaking plurality rules

Abstract We introduce a new condition for social choice functions, called “equal treatment of congruent distributions.” It requires some invariance between two preference profiles that share type congruity property with respect to the associated distributions votes. also implies equal conditions: one is natural weakening anonymity , which most standard individuals, and other neutrality alternatives. Thus, plays role weak conditions both individuals As our main results, we characterize class functions satisfy mild positive responsiveness conditions, it shown coincide tie-breaking plurality rules are selections well-known rule .