[EM] RP & CSSD pick A,B,C,& D
nkklrp at hotmail.com
Thu Jan 16 12:15:37 PST 2003
In the 6 candidate example recently posted, Ranked-Pairs and
BeatpathWinner/CSSD both pick A,B,C,&D.
E doesn't win in RP because the defeat against E isn't in a cycle
and therefore won't be exempt from being kept.
E doesn't win in a BeatpathWinner count because the defeat against
E is also an unreturned beatpath to E.
And E doesn't win in the CSSD or SSD count because E isn't in the
In SD, E doesn't win because the defeat against it isn't in a cycle
and therefore can't be dropped.
For the above reasons, with those methods, a candidate can't win
if he has a pairwise defeat against him, but has no pairwise victories.
In that example, PC & Smith//PC choose A,B,C,D,&E.
But in all Condorcet versions, a candidate wins if he has no
pairwise decisions for or against him.
I once said that it seems to me that if there are 2 or more candidates
who have no defeats against them, and some of those have no
pairwise victories, and some have a pairwise victory, then the tie
should consist of the one(s) who have/has a pairwise victory.
Of course that only matters in small comittees, or maybe sometimes in
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