On Wed, 15 Aug 2001 21:35:05 -0000 "Roy" <[EMAIL PROTECTED]> 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
