Monotonicity in Electoral Systems

Abstract

Much of the literature concerning the relative merits of alternative electoral rules is centered around the extent to which particular rules select “representative” legislatures. And an important concern in evaluating the “representativeness” of an electoral rule is whether or not the rule responds positively to changes in individuals' preferences, that is, whether or not the rule is monotonic. By explicitly considering electoral rules in the context of a complete electoral system—voting, selection of legislature, and legislative choice of policy—we argue that monotonicity in electoral systems is a nonissue: depending on the behavioral model governing individual decision making, either everything is monotonic or nothing is monotonic.