To appove or not to approve: this is not the only question

Abstract

This paper deals with electing candidates. In elections voters are frequently offered a small set of actions (voting in favor of one candidate, voting blank, spoiling the ballot, and not showing up). Thus voters can express neither a negative opinion nor an opinion on more than one candidate. Approval voting partially fills this gap by asking an opinion on all candidates. Still the choice is only between approval and non approval. However non approval may mean disapproval or just indifference or even absence of suffcient knowledge for approving the candidate. In this paper we characterize the dis&approval voting rule, a natural extension of approval voting that distinguishes between indifference and disapproval.