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User:Psephomancy/2D election simulation examples (view source)

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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).
*C is a partisan candidate on the right
** 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.▼
*A is another partisan candidate, this time on the left
** 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.)▼
*B is a moderate candidate, and the best representative of the average voter
 
** B wins under [[Score Voting]] (with normalized ballots), as they are the highest-rated overall by the voters. ▼
▲** 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.
** B also wins under [[Condorcet method|Condorcet methods]], as B would beat both A and C in head-to-head elections.▼
 
** 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.▼
{{Graph:Chart|width=200|height=150
|xAxisTitle=Candidates|yAxisTitle=Voters|type=rect|showValues=format:.2r
|x=A, B, C
|y=1031, 861, 1108
|colors=#1f77b4, #ff7f0e, #2ca02c
}}
 
▲** 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.)
 
▲** B wins under [[Score Voting]] (with normalized ballots), as they are the highest-rated overall by the voters.
 
▲** B also wins under [[Condorcet method|Condorcet methods]], as B would beat both A and C in head-to-head elections.
 
▲** 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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