Answer
Candidate B is favored over all other candidates in head-to-head comparison. However, Candidate B was not declared the winner when using the plurality method. Therefore, the head-to-head criterion is not satisfied.
Work Step by Step
With a head-to-head comparison, each candidate is compared with every other candidate. For each pair of candidates, a candidate is favored over the other candidate if the candidate is ranked higher than the other candidate on a majority of ballots.
We can compare Candidate A and Candidate B.
Candidate A: 1500
Candidate B: 1000 + 1000 = 2000
Since Candidate B is ranked higher than Candidate A on more ballots, Candidate B is favored over Candidate A.
We can compare Candidate A and Candidate C.
Candidate A: 1500 + 1000 = 2500
Candidate C: 1000
Since Candidate A is ranked higher than Candidate C on more ballots, Candidate A is favored over Candidate C.
We can compare Candidate B and Candidate C.
Candidate B: 1500 + 1000 = 2500
Candidate C: 1000
Since Candidate B is ranked higher than Candidate C on more ballots, Candidate B is favored over Candidate C.
We can see that Candidate B is favored over Candidate A and Candidate C. Therefore, Candidate B is favored over all other candidates in head-to-head comparison.
Candidate B is favored over all other candidates in head-to-head comparison. However, Candidate B was not declared the winner when using the plurality method. Therefore, the head-to-head criterion is not satisfied.
