[EM] Matthijs van Duin criterion
Matthijs van Duin
eme at nubz.org
Wed Mar 7 00:56:34 PST 2007
On Tue, Mar 06, 2007 at 08:50:36PM -0500, Warren Smith wrote:
>Subject: [EM] Matthijs van Duin criterion
I'm flattered, but would anyone outside the Netherlands know how to
pronounce that? ;-)
>Equivalent criterion: removing a candidate pairwise defeated by current
>winner, cannot alter the winner.
As you pointed out, this is not equivalent. It's the *new* winner who
must not defeat the removed candidate...
An intuitive notion is that the new winner didn't win before because he
was being "suppressed" by the removed candidate, who used to defeat (or
at least tie) the new winner.
Violation of this feels awkward: if the new winner also defeated the
removed candidate, then why couldn't he win before? How was the removed
candidate preventing this?
Like I mentioned before, my criterion implies LIIA, implies Smith,
implies Condorcet and Mutual Majority, so complying with my (on the
surface rather simple-sounding) criterion, you get lots of goodies as a
>are there any pure rank-order methods that obey this criterion?
That's an interesting question. I've been thinking about that too, but
haven't come up with an answer yet...
Matthijs van Duin -- May the Forth be with you!
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