Yee diagram: Difference between revisions
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A '''Yee diagram''', or '''Yee picture,''' (named after Ka-Ping Yee, who first created them) is used to illustrate the behavior of election methods, given a fixed set of candidates in a [[Spatial model of voting|two-dimensional
== Production ==
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Each candidate is assigned a color and shown as a point, and
The voters are usually modeled using a [[W:Normal distribution|Gaussian ("bell curve") distribution]], though their number, [[W:Statistical dispersion|dispersion]], and [[Tactical voting|strategy]] can vary from one diagram to the next. These properties do affect the output, but cannot be
== The ideal case ==
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 each win region defined by candidate that minimizes [[W:Euclidean distance|Euclidean distance]] to that point.)
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 from the ideal can be shown as a second [[W:Heat map|heat map]] diagram alongside the Yee diagram.<ref name=":0" />
== Variations ==
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>
== References ==
<references />
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