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Michael Ossipoff wrote:<br>
<blockquote type="cite">
<pre wrap="">The Condorcet version that I propose is SSD, Schwartz Sequential Dropping.
It's defined at:
<a class="moz-txt-link-freetext" href="http://www.barnsdle.demon.co.uk/vote/sing.html">http://www.barnsdle.demon.co.uk/vote/sing.html</a>
</pre>
</blockquote>
<blockquote type="cite">
<h2>Schwartz Sequential Dropping (SSD):</h2>
<p>The "current Schwartz set is the Schwartz set based only on
defeats that haven't yet been dropped. </p>
<p>Drop the weakest defeat among the members of the current Schwartz
set. Repeat till there's an unbeaten candidate. </p>
<p>(The strength of B's defeat by A is measured by how many people
have voted A over B). </p>
<p>*** </p>
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<br>
<blockquote type="cite">
<pre wrap="">Power truncation:
If a voter power truncates candidates below a particular rank position,
then, the count scores each one of those candidates as if that voter had
ranked all the other candidates over him/her.
[end of power truncation definition]
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<br>
Mike,<br>
<br>
"Power truncation" strikes me as not one of your better ideas.<br>
<br>
49: A "power truncates"<br>
03: B>C<br>
48: C>B<br>
<br>
The "power truncation" appears to give A the win in defiance of
Condorcet, Majority for Solid Coalitions<br>
and Majority Loser.<br>
<br>
B>C 52-48, C>B 97-3 <br>
B>A 51-49<br>
C>A 51-49<br>
<br>
All candidates are pairwise beaten so are in the initial Schwartz set.
A's defeats are the weakest so we drop<br>
one at random and nothing changes so we drop the other one. Then A is
the only candidate with no (undropped)<br>
defeat so A wins.<br>
<br>
45: A "power truncates" (sincere is A>C)<br>
35: B>C<br>
20: C "power truncates"<br>
<br>
This is supposed to be a "Nash equilibrium" situation in WV where the
sincere CW wins.<br>
<br>
B>C 80-20, C>B 65-35<br>
A>B 65-35, B>A 55-45<br>
C>A 55-45<br>
<br>
Again, A's defeats are the weakest so they are dropped and A wins
(defying Minimal Defense).<br>
<br>
Chris Benham<br>
<br>
<br>
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