[EM] DH3 pathology, margins, and winning votes

[Allen Smith]

In message <44F07D6C.mailECQ13OME7 at euclid.math.temple.edu> (on 26 August
2006 12:57:16 -0400), wds at euclid.math.temple.edu (Warren Smith) wrote:
>Sorry, for some reason, the hyperlink in my previous post was omitted.
>Let me try again:
>   http://rangevoting.org/WinningVotes.html
>
>This is a web page that discusses "winning votes" versus "margins" and
>includes a careful look at the "DH3 pathology" which is a very serious
>problem faced by both Borda and every Condorcet method.  It is shown that
>DH3 still clobbers Condorcet methods even if they allow equal rankings and
>even if they use winnign-votes or margins.
>
>The reason DH3 is "very serious" is it has the maximally bad effect (elects
>worst canddt) and it has near maximal commonness (merely need 3 rivals and
>a dark horse running).

Doesn't this at least partially depend on the presence of a Condorcet cycle?
I note one as being present in your various examples.

  -Allen

-- 
Allen Smith			         http://cesario.rutgers.edu/easmith/
There is only one sound argument for democracy, and that is the argument
that it is a crime for any man to hold himself out as better than other men,
and, above all, a most heinous offense for him to prove it. - H. L. Mencken