User:Psephomancy/2D election simulation examples: Difference between revisions

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*B is a moderate candidate, and the best representative of the average voter
*B is a moderate candidate, and the best representative of the average voter


== FPTP ==
⚫
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.


⚫
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.
{{Graph:Chart|width=200|height=150
{{Graph:Chart|width=200|height=150
|xAxisTitle=Candidates|yAxisTitle=Voters|type=rect|showValues=format:.2r
|xAxisTitle=Candidates|yAxisTitle=Votes|type=rect
|x=A, B, C
|x=A, B, C
|y=1031, 861, 1108
|y=1031, 861, 1108
|colors=#1f77b4, #ff7f0e, #2ca02c
|colors=#1f77b4, #ff7f0e, #2ca02c
}}
}}

== IRV ==


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.)
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.)

First round is the same as plurality:

{{Graph:Chart|width=200|height=150
|xAxisTitle=Candidates|yAxisTitle=Votes|type=rect
|x=A, B, C
|y=1031, 861, 1108
|colors=#1f77b4, #ff7f0e, #2ca02c
}}


Second round is:

{{Graph:Chart|width=200|height=150
|xAxisTitle=Candidates|yAxisTitle=Votes|type=rect
|x=A, B, C
|y=1619, 0, 1381
|colors=#1f77b4, #ff7f0e, #2ca02c
}}

== Score ==


B wins under [[Score Voting]] (with normalized ballots), as they are the highest-rated overall by the voters.
B wins under [[Score Voting]] (with normalized ballots), as they are the highest-rated overall by the voters.

{{Graph:Chart|width=200|height=150
|xAxisTitle=Candidates|yAxisTitle=Total score|type=rect
|x=A, B, C
|y=1391.735, 2206.151, 1251.829
|colors=#1f77b4, #ff7f0e, #2ca02c
}}

== Condorcet ==


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 [[Condorcet method|Condorcet methods]], as B would beat both A and C in head-to-head elections.


A vs B:
⚫
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=Votes|type=rect
|x= A, B, C
|y= 1031, 1969, 0
|colors=#1f77b4, #ff7f0e, #2ca02c
}}


B vs C:

{{Graph:Chart|width=200|height=150
|xAxisTitle=Candidates|yAxisTitle=Votes|type=rect
|x= A, B, C
|y= 0, 1892, 1108
|colors=#1f77b4, #ff7f0e, #2ca02c
}}

== STAR ==

⚫
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).

{{Graph:Chart|width=200|height=150
|xAxisTitle=Candidates|yAxisTitle=Total score|type=rect
|x=A, B, C
|y=1391.735, 2206.151, 1251.829
|colors=#1f77b4, #ff7f0e, #2ca02c
}}

B is then preferred over A by a 66% majority.

{{Graph:Chart|width=200|height=150
|xAxisTitle=Candidates|yAxisTitle=Votes|type=rect
|x= A, B, C
|y= 1031, 1969, 0
|colors=#1f77b4, #ff7f0e, #2ca02c
}}
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