[EM] are ranked pairs and river Schwartz-consistent?
Markus Schulze
markus.schulze at alumni.tu-berlin.de
Thu Sep 16 02:43:37 PDT 2004
Dear James Green-Armytage,
1. I suggest that a Schulze ranking should be used instead
of a purely randomly generated TBRC, so that it is
guaranteed that all Schwartz winners are ranked above
all other candidates.
2. I suggest that all N*(N-1) pairwise comparisons should be
ranked and not only the =< N*(N-1)/2 pairwise defeats.
3. I suggest that a pairwise comparison that is in accordance
with this Schulze ranking is "stronger" than a pairwise
comparisons that is in contradiction with this Schulze
ranking and that is of otherwise equal strength:
http://lists.electorama.com/pipermail/election-methods-electorama.com/2004-May/012984.html
In your example, these suggestions guarantee that A>R is
"stronger" than R>A so that Tideman's ranked pairs method
chooses candidate A. The same is true for Heitzig's river
method.
Markus Schulze
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