Approval Balloting for Multi-winner Elections

Approval voting is a method of voting in which voters can vote for (“approve of”) as many candidates as they wish in an election. This article analyzes properties of this method and compares it with other single-ballot nonranked voting systems. Among the theorems proved is that approval voting is the most sincere and most strategyproof of all such voting systems; in addition, it is the only system that ensures the choice of a Condorcet majority candidate if the preferences of voters are dichotomous. Its probable empirical effects would be to (1) increase voter turnout, (2) increase the likelihood of a majority winner in plurality contests and thereby both obviate the need for runoff elections and reinforce the legitimacy of first-ballot outcomes, and (3) help centrist candidates, without at the same time denying voters the opportunity to express their support for more extremist candidates. The latter effect's institutional impact may be to weaken the two-party system yet preserve middle-of-the-road public policies of which most voters approve.

Even though voters can have complex preferences over multiple candidates or parties, all extant electoral systems provide political representation based solely or primarily on voters' first preferences. I present a new concept of proportional representation that takes account of voters' preferences over the full list of alternatives—fully proportional representation (FPR)—and schemes for its implementation. I outline a “pure” FPR scheme, but because this scheme would have several undesirable features when used by real voters, I also discuss modifications that account for these difficulties. Although there are a variety of interpretations of the role played by voting in democracy, several can be shown to suggest FPR as a normative ideal. Fully proportional representation provides us with new ways to conceptualize existing electoral systems, a new standard against which alternative systems can be evaluated, and several feasible alternatives for approximating this new ideal.