Election Mathematics

A very geeky avocation

 

When I'm not doing physics, I have an interest in the mathematics of elections.  I'll eventually add more content to this page to explain what the mathematical theory of elections is all about (there's more to it than just counting votes) and why anybody should care.

For now, however, what you see is a complete draft of a paper on my work.  The first few pages are non-mathematical and lay out my assumptions.  The next 15 or so pages explain the formalism I'll be using, and how one can take a combined geometrical and procedural view of elections.  After that, I spend about 15 pages working out my results.  The rest of it discusses ways to extend the work and comparisons with voting methods that have been discussed by others.

I welcome feedback.

Voting methods that protect voters' first choices:  A geometric construction (.pdf)