EXAMPLE 8 The Hare System

Suppose we have the following sequence of preference list ballots:

Rank Number of Voters (5)
First
Second
Third

421

Candidate has only 1 first-place vote (while and have 2 each). Thus, is eliminated in round 1, and the ballots for the second round are as follows:

Rank Number of Voters (5)
First
Second

In the second round, has only 2 first-place votes (while A has 3), so is eliminated in round 2. Because is the only candidate left, he or she is the unique winner of this election.