Six candidates X, V, W, Y, Z, and T compete for a seat. There are 300 voters, and the voting profile is as follows (numbers of voters with such preferences are shown in brackets): |75| XVWYZT |105| TVWXYZ 16| WVXYZT |60| YVWXZT |54| ZVWXYT The Condorcet second is an alternative that wins with everybody except for the
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- Plurality winner: The plurality winner is the candidate who receives the most first-preference votes. In this case, X receives 75 votes, which is the most of any candidate.
- Alternative vote winner: The alternative vote is a voting system where voters rank the candidates in order of preference. If no candidate receives a majority of first-preference votes, then the candidate with the fewest first-preference votes is eliminated, and their votes are redistributed to the remaining candidates according to the voters' second preferences. This process is repeated until one candidate receives a majority of votes.
In this case, the alternative vote winner is also X. This is because X is the only candidate who can defeat all other candidates in a head-to-head vote.
Copeland winner: The Copeland winner is the candidate who defeats the other candidates in the most pairwise comparisons. In this case, the Copeland winner is also X. This is because X defeats all other candidates in a pairwise comparison.
Condorcet winner: The Condorcet winner is the candidate who would win a head-to-head vote against all other candidates. In this case, the Condorcet winner is Y. This is because Y defeats all other candidates in a pairwise comparison.
Borda count winner: The Borda count is a voting system where each candidate is assigned a number of points equal to the number of other candidates they defeat in a pairwise comparison. The candidate with the most points wins.
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