## Wednesday, September 08, 2004

### Voting and Geometry

It would be remiss of me (this is the Geomblog, after all) not to remark on the connection between voting and geometry pointed out by a commenter on my earlier post.

Donald Saari has developed an interesting theory of rankings based on mapping rankings to points in simplices. An immediate application of this formulation is the observation that the Kemeny rule determines a ranking minimizes the l1 distance to the original ranking schemes.