On Wed, Nov 29, 2000 at 02:53:15AM -0500, Raul Miller wrote:
> A.6(3)  A supermajority requirement of n:m for an option A means that
>       when votes are considered which indicate option A as a better
>       choice than some other option B, the number of votes in favor
>       of A are multiplied by m/n.

This gives different results to the current system when two options on
a single ballot would require different supermajorities to pass.

Please reread:
    Message-ID: <[EMAIL PROTECTED]>
    Date: Fri, 24 Nov 2000 10:07:24 +1000

and:
    Message-ID: <[EMAIL PROTECTED]>
    Date: Fri, 24 Nov 2000 14:44:40 +1000

for the explanation.

A much fairer supermajority requirement would simply be:

A.6(3) A supermajority of N:M for an option A is met when the number of
       votes ranking A higher than the default option, divided by N is 
       greater than than the number of votes ranking the default option
       higher than A.

However it's not clear what should happen when the clear winner of a set
of options doesn't meet its supermajority requirement, yet a loser (with
a different supermajority requirement) does. It's similarly unclear what
should happen if the winner doesn't meet its supermajority requirments,
but some other member of the Smith set does.

I would suggest something to the effect of:

        * Reduce to the Smith Set
        * Eliminate options that don't meet the supermajority requirement
        * If none left -> default option wins
        * If one left -> it wins
        * If many left, use some tie-breaker, eg STV, Tideman, Schulze

Somewhat more detailed discussion of that sort of method is back in:

        Message-ID: <[EMAIL PROTECTED]>
        Date: Tue, 21 Nov 2000 19:42:44 +1000

Cheers,
aj

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

     ``Thanks to all avid pokers out there''
                       -- linux.conf.au, 17-20 January 2001

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