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Re: Nov 16 draft of voting mechanics

On Sun, Nov 17, 2002 at 12:57:59PM -0500, Raul Miller wrote:
> On Sun, Nov 17, 2002 at 10:42:40PM +1000, Anthony Towns wrote:
> > ] Definition: A proposition is a pair of options, J and K, from
> > ] the Schwartz set, such that J defeats K.
> > On Sun, Nov 17, 2002 at 09:47:27AM -0500, Raul Miller wrote:
> > > Simpler doesn't count here, because you fail to handle pairwise ties.
> On Mon, Nov 18, 2002 at 03:26:46AM +1000, Anthony Towns wrote:
> > Sure I do: they're not propositions (since in a pairwise tie between
> > X and Y, X doesnt defeat Y and Y doesn't defeat X). There's no point
> > worrying about pairwise ties at all, afaics.
> Hmm.. but this allows a Schwartz set with no propositions.  This would
> mean that, for example, the rule for detecting ties would have to be
> rewritten.

Right. A tie is precisely when there are no uneliminated propositions (and
thus no weakest uneliminated propositions that can be eliminated).


Anthony Towns <aj@humbug.org.au> <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.''

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