I think you might improve this scheme by doing it twice. First, a random sampling of votes cast are used to create a candidate pool. Next, one lucky voter's v

I think you might improve this scheme by doing it twice. First, a random sampling of votes cast are used to create a candidate pool. Next, one lucky voter's vote is selected to pick a candidate from the pool. The upside to this is that it helps get rid of self interest / crazy voting. If the scheme David MacIver proposed were used for determining president, I expect 25% of people would vote for themselves. (Well, he proposed starting from a small pool, so I guess I'm wondering about what would happen if you used this scheme to produce the pool in the first place)