Mike, Kevin, participants,
In my most recent post (Tue.Jun.7) referring to the Plurality criterion, I mistakenly wrote:

The "pairwise version" says that X must not win if there are more voters that rank X above all the other candidates than there are voters that rank Y over *any* candidate.

That of course should have been:
The "pairwise version" says that X must not win if there are more voters that rank Y above all the other candidates than there are voters that rank X over *any* candidate.

Kevin,
I'm a bit confused by your response.

the "pairwise"
version can't refer to first preferences or "any" preferences. It just says
that if the greatest number of votes against X in some contest exceeds the
greatest number for X in some contest, then X mustn't win.
Shouldn't the second of your three "X"s be a Y? Otherwise, in the 49A, 24B, 27C>B example both A and C would be barred by it.

.

Chris Benham

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