WOLFRAM|DEMONSTRATIONS PROJECT

Three-Candidate Elections Using Saari Triangles

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plurality method (s=0)
antiplurality method (s=1)
Borda count (s=.5)
voting method parameter (0 ≤ s ≤ 1)
s
week 8 AP poll data (2015)
A=Utah, B=Ohio St., C=Baylor
randomize votes
reset
A > B > C
0
A > C > B
0
B > A > C
0
B > C > A
0
C > A > B
0
C > B > A
0
show procedure line
A Saari triangle provides a way to visualize the possible outcomes of a three-candidate election under different voting procedures. Each candidate is represented by a vertex of the triangle; the outcome is represented as a point inside the triangle. One week of data from the AP college football poll is included as a source of real-world data.