[EM] Visualizing 3-candidate, 3-voter election

[Kristofer Munsterhjelm]

On 13.08.2021 22:11, Andy Jennings wrote:
> I made a visualization for 3-candidate, 3-voter, ranked elections.
> 
> Here is a video explaining it:
> https://youtu.be/Uvax1Hj8t_E  <https://youtu.be/Uvax1Hj8t_E>
> 
> Here is the website:
> https://hexagon.bettervoting.org/ <https://hexagon.bettervoting.org/>
> 
> Here is the Github Repo:
> https://github.com/abjennings/socialchoice-hexagons
> <https://github.com/abjennings/socialchoice-hexagons>
> 
> I had hoped to improve it all and make a version 2, but haven't had the
> time since February, so I'm letting it out there as-is.
> 
> Feedback is welcome. Pull requests are also welcome. :)

That reminds me of the ternary plots for Condorcet cycles. Let

x: A>B>C
y: B>C>A
z: C>A>B

with x+y+z = 1. Then every feasible such election can be represented by
a set of barycentric coordinates and thus be plotted as a triangle.

On a related note, I imagine that you could make a more general
fingerprint for k-voter elections by placing a space-filling curve in
the appropriate high dimension space and parametrize every point as a
distance along that curve, then reduce to the same curve in say, 2D and
invert the plot to get 2D coordinates.

-km