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The Electowiki page on Heitzig's River method includes:<br>
<br>
<blockquote type="cite">River can be interpreted as a <a
title="Minmax" href="http://wiki.electorama.com/wiki/Minmax">Minmax</a>
method, Minmax(non-cyclic pairwise loss) or MMNCPL. It is similar
to Minmax(winning votes) except that River elects the candidate
whose greatest <i>non-cyclic</i> pairwise loss to another
candidate is least. As in <a title="Ranked Pairs"
href="http://wiki.electorama.com/wiki/Ranked_Pairs">Ranked Pairs</a>,
the greatest pairwise loss (GPL) of each candidate is considered
in order from largest (among all candidates) to smallest and
locked. If a candidate's GPL is cyclic, it is discarded, and the
next-greatest pairwise loss of that candidate is added to the
list. When the non-cyclic greatest pairwise losses of (N-1)
candidates have been locked, the remaining candidate is the
winner. </blockquote>
<br>
<a class="moz-txt-link-freetext" href="http://wiki.electorama.com/wiki/River">http://wiki.electorama.com/wiki/River</a><br>
<br>
What is the clear and simple definition of a "cyclic" pairwise
loss? <br>
<br>
If all the candidates are in the Smith set, aren't *all* the
pairwise losses (at least in some sense) "cyclic"?<br>
<br>
Chris Benham<br>
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