EM list-- In the 2nd claim that I made about Approval in my previous message, I misworded the voting assumption. I should have said: If a group of people share the same preferences and vote in the same way, and if they vote to maximize their expectation, and if the p(i,j) are related in the way that ensures that if a voter betters his expectation by voting for X then he also betters it by voting for all those whom he likes better than X, then that group of people will never worsen the outcome for themselves by showing up to vote. *** Sure, that's obvious: If, when voting for X, you always vote for those whom you like better than X, then of course you'll never worsen your outcome, compared to what it would be if you didn't vote. Obvious, but true, and worth mentioning, when you spoke of the possibility of regretted participation in Approval. Mike Ossipoff ________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com