Question 10.47

17. Suppose we have an election in which there is a single winner, using the Hare system. 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.

17.

A winner with the Hare system must be ranked at the top of at least one voter’s ballot, or else it would be eliminated in the first round. For such a voter, there is no outcome preferred to his or her top choice being the single winner.