Yee diagram: Difference between revisions
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<youtube width="300" height="230">-4FXLQoLDBA</youtube>
|caption=Video describing how Yee diagrams are created, then showing animated versions that model different sets of candidates, for [[FPTP]], [[IRV]], [[Score]], and [[STAR]], then their divergence from the ideal single-voter case.<ref name=":0" />
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Each candidate is assigned a color and shown as a point, and the rest of the space is colored according to which candidate would win under a given voting method, if the center of public opinion were at a given point. Typically, this forms large ''win regions'' of the same color. In other words, the candidates stay fixed, while the collective opinions of the voters move to every point in the space, testing who would win in each case.<ref name=":0">{{Cite web|url=https://www.youtube.com/watch?v=-4FXLQoLDBA|title=Animated Voting Methods|last=Frohnmayer|first=Mark|date=Jun 16, 2017|website=YouTube|publisher=Equal Vote Coalition|url-status=live|archive-url=|archive-date=|access-date=2020-04-06}}</ref>
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The ideal Yee diagram for a given set of candidates is given by the single-voter scenario: whichever candidate is ideologically most similar to the single voter wins. This produces a [[W:Voronoi diagram|Voronoi diagram]] of the candidates, with the win region defined by [[W:Euclidean distance|Euclidean distance]] to the candidates. Any discrepancy from this ideal diagram means that a voting method is unfairly biased toward or against some candidates, purely as a consequence of where they are located relative to other candidates (how ideologically similar they are). For example, a voting method that suffers from [[Center squeeze effect|center squeeze]] might not show any win region at all for a candidate who has been "squeezed out" by the others. This candidate can never win under that method, even if their ideology is the best match for the average voter. This discrepancy can be shown as a second [[W:Heat map|heat map]] diagram alongside the Yee diagram.<ref name=":0" />
The diagrams can also be animated, quickly illustrating how the voting methods would perform if the candidates held different positions.<ref name=":0" /><ref>{{Cite web|url=https://www.youtube.com/watch?v=IPMks6afuM8|title=Yee Animations 0.8|last=Frohnmayer|first=Mark|date=May 30, 2017|website=YouTube|publisher=Equal Vote Coalition|url-status=live|archive-url=|archive-date=|access-date=2020-04-06}}</ref>
While originally intended for displaying [[Single-winner method|single-winner methods]], they can be adapted to [[Multi-winner method|multi-winner methods]] by producing multiple diagrams for a given scenario.<ref>{{Cite web|url=http://bolson.org/voting/sim_one_seat/20090810/|title=Multiwinner Election Simulation in 2-space|last=Olson|first=Brian|date=2009-08-10|website=bolson.org|url-status=live|archive-url=|archive-date=|access-date=2020-04-06}}</ref>
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