[EM] Challenge - give an example where FBC is violated for Condorcet methods

[Jameson Quinn]

Yes, Schulze's link gives a clear counterexample. The basic insight is that
Condorcet methods tend to violate the FBC only when there is a sincere
cycle, and burial/truncation criteria when there is a sincere CW. I am not
aware of a proof to this effect, though I suspect that one would be possible
with the right choice of methods. Still, it seems to be a clear enough
principle to serve as a rule of thumb.

Since I believe that cases where there is a sincere CW are both more common
and more important to get right (because when there's a cycle, there are
many arguably-right answers), I therefore would argue that violations of the
FBC are less-important than violations of burial/truncation. Your mileage
may vary.

Jameson Quinn

2011/6/6 Markus Schulze <markus.schulze at alumni.tu-berlin.de>

>
> http://lists.electorama.com/pipermail/election-methods-electorama.com/2005-May/015945.html
>
>
> ----
> Election-Methods mailing list - see http://electorama.com/em for list info
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.electorama.com/pipermail/election-methods-electorama.com/attachments/20110606/08ff3f2c/attachment-0003.htm>