[EM] Don't ignore the margins.
Blake Cretney
bcretney at postmark.net
Wed Aug 15 20:23:44 PDT 2001
On Wed, 15 Aug 2001 21:35:05 -0000
"Roy" <royone at yahoo.com> wrote:
> Did you ever notice that great thoughts turn to crap once you
> hit "Send"? Maybe it's just me.
>
> If one contest is decided by a margin of 60, and two other contests
> are decided by a margin of 4 each, only a net of 8 preferences would
> be overturned by reversing the two contests, whereas 60 preferences
> (net) would be overturned by reversing the one. I had neglected to
> consider the minority vote in those contests.
>
> Still, choosing the smallest total margin to be the bottom of a
cycle
> appears to be a good idea.
Methods that sum margins or number of defeats tend to violate
independence of clones. If you have a victory A>B, and you add a
clone of A, then B is worse off if you are summing. This is why
methods that use maximums and minimums have always been the most
popular ranked-ballot methods on this list, despite the many changes
in fashion.
---
Blake Cretney
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