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Those diagrams aren't very intuitive to me. Do the different shaded regions represent turnout? What is the coordinate of the candidate, position on a 2-axis political scale?

A point on the 2d plane represents a preference (if we imagine that there are only 2 real-valued issues in the world). The regions shaded in a particular color are the regions where a normal distribution of popular preferences centered there will elect the corresponding candidate.

I assume that individual simulated voters just rank candidates from least to greatest by cartesian distance, or do that and then use a random cutoff for approval voting.

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