On Wed, Dec 11, 2002 at 03:52:13PM +1000, Anthony Towns wrote:
> If you want a more complicated example, try:
>       40 A B C F  (A requires 3:1 supermajority, F is the default option)
>       10 C B F A
>       10 F C B A
> which Condorcet would rank as A first, B second, C third and F last;
> but under Hybrid would be treated as:
>       F defeats A (60:40) (scaled 3:1 from 20:40)
>       C defeats F (50:10)
>       B defeats F (50:10)
>       A defeats B (40:20) <--- every defeat below this one must be dropped
>       B defeats C (40:20)
>       A defeats C (40:20)
> with the three weakest defeats eliminated, leaving F defeats A, C defeats
> F, B defeats F, and a draw between B and C.

I'm sorry, I didn't follow the special casing you do for "superdefeats".
Here's the corrected example:

        40 A B C F  (A requires 3:1 supermajority, F is the default option)
        10 C B F A
        10 F C A B

        F defeats A (60:40) (scaled 3:1 from 20:40)
        C defeats F (50:10)
        B defeats F (50:10)
        A defeats B (50:10) <--- every defeat below this one must be dropped
        B defeats C (40:20)
        A defeats C (40:20)

AdC gets dropped since it's weakest and involves A; BdC gets dropped
since it's weakest; then AdB gets dropped since it's equal weakest and
involves A.

Cheers,
aj

-- 
Anthony Towns <[EMAIL PROTECTED]> <http://azure.humbug.org.au/~aj/>
I don't speak for anyone save myself. GPG signed mail preferred.

 ``If you don't do it now, you'll be one year older when you do.''

Attachment: pgp73b3nylYIS.pgp
Description: PGP signature

Reply via email to