welcome to the eigenletter: arrow's theorem post
greetings and salutations,
i didn’t think enough people read my blog to warrant a newsletter, but here we are. i’ve gotten enough requests that it seems time i finally started something. special thanks to the people who asked for this.
i will send an email when i publish something, which is usually 1-2 times a month. you can probably expect topics to focus on voting, social choice theory, and electoral reform.
for the first eigenletter, i present a blog post on Arrow’s impossibility theorem:
https://eigentaylor.github.io/blog/arrows/unlike the typical “pull a dictator out of a hat” proof, i’m presenting a much cooler proof by the late, great Peter Fishburn which shows that you can have a perfect ranked voting system, but only so long as you have infinitely many voters!
i recommend my post on IIA as a primer. it was, in some form, originally going to be the introduction of the Arrow’s post. however, it made things too long, so i published it separately.
i know, it looked like i was finally getting good at shorter posts and then here comes another chonker. but hey, i’m just long-winded like that, as you can see here.
on the horizon: i have a number of (hopefully shorter) posts i’m working on related to the following topics
sen’s theorem
gibbard’s more general theorem
approval voting’s amazing properties on the dichotomous domain, and what that means for real voters in practice
anyway, thanks for joining the newsletter. and thanks for reading.
taylor
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