On Wed, Nov 20, 2002 at 01:11:43AM +1100, Clinton Mead wrote: > I would like to know the result of this ballot. > > ACB > ACB > CBA > CBA > CBA > > Where A is default and C requires a supermajority (as far as I can tell > its A, even though B, not needing a supermajority, beat it pairwise).
What supermajority ratio? 2:1? 3:1? I'll assume 2:1 N(A,B) 2:3 not a defeat N(A,C) 4:3 A defeats C N(B,A) 3:2 B defeats A N(B,C) 0:5 not a defeat N(C,A) 3:2 C defeats A N(C,B) 5:0 C defeats B Every option transitively defeats every other option, so every option is in the initial schwartz set. The weakest defeats are (B,A) and (C,A), dropping them, we have N(A,B) 2:3 not a defeat N(A,C) 4:3 A defeats C N(B,A) 3:3 not a defeat N(B,C) 0:5 not a defeat N(C,A) 3:3 not a defeat N(C,B) 5:0 C defeats B A transitively defeats all other options, and is transitively defeated by no other options, A wins. [Technically: there are no votes prefering A to the default option, so the default option wins -- but that's a trivial issue.] > As far as I can tell, C is the winner of step two, but defeated in step > 3 by the default option supermajority veto. I don't know why you think this. -- Raul -- To UNSUBSCRIBE, email to [EMAIL PROTECTED] with a subject of "unsubscribe". Trouble? Contact [EMAIL PROTECTED]
