Say that before you vote, there's no BeatsAll winner, and the circular tiebreaker picks X as the winner.
Then you & a few others add your ballots, and you all vote X over Y, and Y over Z. But it happens that, before you voted, Y's only defeat was by Z, and Y lost to Z by a 1-vote margin. So now you've made Y beat Z and become the BeatsAll winner. That shows CC's incompatibility with Participation. Say we specify that all of the new voters voted X in 1st place. Now the original voters elected X, and the new voters would elect X, but, when combined, they elect Y. So CC is also incompatible with Consistency. I should add that no other pair-comparison is close enough for the new voters to affect it. Mike Ossipoff _________________________________________________________________ Send and receive Hotmail on your mobile device: http://mobile.msn.com
