The Class of Strict Majority Rules

Abstract

The class of strict majority rules consists of all p-strict majority rules, where p is greater than or equal to half and less than one. p-strict majority rule, p greater than or equal to half and less than one, is defined by: Under p-strict majority rule, an alternative x is considered to be socially at least as good as some other alternative y iff more than p fraction of total number of individuals do not prefer y to x. This chapter provides a characterization of the class of strict majority rules and derives Inada-type necessary and sufficient conditions for transitivity and quasi-transitivity under the rules belonging to the class.