User:Psephomancy/2D election simulation examples

This is an example simulation of an election on a 2-dimensional political spectrum (such as the Political Compass, Nolan chart, Pournelle chart, etc.)

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 voting, since A and B split the votes of the left wing of the electorate.
• A is another partisan candidate, on the left
  • A wins under Instant-Runoff Voting ("Ranked-Choice Voting"), after B is eliminated for not having enough first-preference votes, leaving A and C (and 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.
  • B also wins under Condorcet methods, as B would beat both A and C in head-to-head elections.
  • B also wins under 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.