Yee diagram: Difference between revisions
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(Ka-Ping Yee deserves an article too.) |
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[[File:Yee diagram IrvSq2.png|thumb|A Yee diagram of [[IRV]] with four candidates, showing that the Yellow candidate has been [[Center squeeze|squeezed out]] and cannot win.]]A '''Yee diagram
== Production ==
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<youtube width="300" height="230">-4FXLQoLDBA</youtube>▼
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|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" /><ref>Note that in these simulations, voters are assumed to normalize their ballots under Score and STAR voting, which is why Score has the "center-expansion" effect</ref>▼
|caption=[[Ka-Ping Yee]] at a 2021 event hosted by [[The Center for Election Science]]. In this video, Yee explains several of the diagrams named after Yee, and discusses a broad range of electoral-reform topics.
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Each candidate is assigned a color and shown as a point, and every other point in the space is colored according to which candidate would win under a given voting method, if the center of public opinion were at that 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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== Variations ==
[[File:Nonmonotonicity-city-yee-2005.png|left|thumb|Screenshot of "Nonmonotonicity City" section of http://zesty.ca/voting/sim/]]
The diagrams can also be animated, quickly illustrating how the voting method would perform under many different scenarios (if the candidates held different sets of 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>
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== Software ==
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* Warren D. Smith's [https://rangevoting.org/IEVS/IEVS.c IEVS]
* Mark Frohnmayer's [https://github.com/nardo/Equal.Vote/tree/master/ElectionAnimation animated diagrams]
* Brian Olson's [http://voteutil.googlecode.com/svn/sim_one_seat sim_one_seat]
== References ==
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[[Category:Voting method simulations]]
[[Category:Voting models]]
[[Category:Political spectrum]]
[[Category:Infographics]]
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