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There are 3000 voters (blue dots), 3 candidates (red dots), and voters vote honestly, supporting the candidates who are most similar to them ideologically (nearest distance). |
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There are 3000 voters (blue dots), 3 candidates (red dots), and voters vote honestly, supporting the candidates who are most similar to them ideologically (nearest distance). |
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*C is a partisan candidate on the right |
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*C is a partisan candidate on the right |
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** C wins under [[First Past the Post electoral system|first-past-the-post voting]], since A and B split the votes of the left wing of the electorate. |
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*A is another partisan candidate, this time on the left |
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*A is another partisan candidate, this time on the left |
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** A wins under [[Instant-runoff voting|Instant-Runoff Voting]] ("Ranked-Choice Voting"), after B is eliminated for not having enough first-preference votes, leaving A and C. (A is slightly closer to the center, so more people in the center support A over C.) |
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*B is a moderate candidate, and the best representative of the average voter |
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*B is a moderate candidate, and the best representative of the average voter |
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** B wins under [[Score Voting]] (with normalized ballots), as they are the highest-rated overall by the voters. |
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C wins under [[First Past the Post electoral system|first-past-the-post voting]], since A and B split the votes of the left wing of the electorate. |
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** B also wins under [[Condorcet method|Condorcet methods]], as B would beat both A and C in head-to-head elections. |
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** B also wins under [[STAR voting|STAR Voting]]. The top-two winners are A and B (since A is slightly closer to the center than C). B is then preferred over A by a 66% majority. |
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{{Graph:Chart|width=200|height=150 |
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|xAxisTitle=Candidates|yAxisTitle=Voters|type=rect|showValues=format:.2r |
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|x=A, B, C |
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|y=1031, 861, 1108 |
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|colors=#1f77b4, #ff7f0e, #2ca02c |
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}} |
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A wins under [[Instant-runoff voting|Instant-Runoff Voting]] ("Ranked-Choice Voting"), after B is eliminated for not having enough first-preference votes, leaving A and C. (A is slightly closer to the center, so more people in the center support A over C.) |
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B wins under [[Score Voting]] (with normalized ballots), as they are the highest-rated overall by the voters. |
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B also wins under [[Condorcet method|Condorcet methods]], as B would beat both A and C in head-to-head elections. |
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B also wins under [[STAR voting|STAR Voting]]. The top-two winners are A and B (since A is slightly closer to the center than C). B is then preferred over A by a 66% majority. |