The notation I used in my response to Clinton was wrong for the draft I proposed yesterday and the draft I proposed today. It reflects a [more complex] draft I'd been thinking about, but not the draft I wrote.
I apologize for that. Here's a better response to Clinton. 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). I'm going to assume a supermajority ratio of 2:1 N(A,B) 2; N(B,A) 3 N(A,C) 4; N(C,A) 3 N(B,C) 0; N(C,B) 5 (A,B) 2:3 not a defeat (A,C) 4:3 A defeats C (B,A) 3:2 B defeats A (B,C) 0:5 not a defeat (C,A) 3:4 not a defeat (C,B) 5:0 C defeats B All options transitively defeat all other options. The weakest defeat is (B,A), eliminating it leaves: N(A,B) 3; N(B,A) 3 N(A,C) 4; N(C,A) 3 N(B,C) 0; N(C,B) 5 (A,B) 3:3 not a defeat (A,C) 4:3 A defeats C (B,A) 3:3 not a defeat (B,C) 0:5 not a defeat (C,A) 3:4 not a defeat (C,B) 5:0 C defeats B Now, A transitively defeats all other options and no other option transitively defeats A. A wins. [No options prefer A over the default option, because A is the default option, so even after step 3, A wins.] > > As far as I can tell, C is the winner of step two, but defeated in step > > 3 by the default option supermajority veto. There is no "default option supermajority veto" in step 3, in the Nov 18 draft. -- Raul -- To UNSUBSCRIBE, email to [EMAIL PROTECTED] with a subject of "unsubscribe". Trouble? Contact [EMAIL PROTECTED]
