Question 10.63

33. Suppose we have an election in which there is a single winner, using plurality voting. In a couple of sentences, explain why we know for sure that there is at least one voter who cannot manipulate this election in the sense of making a unilateral change in his or her ballot that will yield a preferred outcome for that voter, assuming the original ballot represented his or her true preferences.

33.

A winner in plurality voting must be ranked at the top of at least one voter’s ballot. For such a voter, there is no outcome preferred to his or her top choice being the single winner.