Suppose that Candidates A and B have moderate political positions, while Candidate C is quite libera

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Suppose that Candidates A and B have moderate political positions, while Candidate C is quite liberal. Voter opinions about the candidates are as follows. 35% want A as their first choice, but would also approve of B. 31% want B as their first choice, but would also approve of A. 20% want B as their first choice, and approve of neither A nor C. 10% want C as their first choice, and approve of neither A nor B.

1. If all voters could vote only for their first choice, which candidate would win by plurality?
2. Which candidate wins by an approval vote?

Plurality Voting:

• A: 35%
• B: 31% + 20% = 51%
• C: 10%

Candidate B wins using the plurality voting method and a majority

Approval Voting:

• A: 35% + 31% = 2 approvals
• B: 35% + 31% + 20% = 3 approvals
• C: 10% = 1 approval

Therefore, Candidate B wins using the approval voting method