<html><head><style type="text/css"><!-- DIV {margin:0px;} --></style></head><body><div style="font-family:times new roman, new york, times, serif;font-size:12pt"><DIV>Marcus,<BR>In one of your recent papers and on the Schulze method Wikipedia<BR>page you list "Woodall's CDTT criterion" as one of the criteria <BR>satisfied by the Schulze (Winning Votes) method.</DIV>
<DIV> </DIV>
<DIV>What, in your opinion, is supposed to be the positive point of compliance</DIV>
<DIV>with that criterion? In other words, how would Schulze(WV) be worse</DIV>
<DIV>if it satisfied all the criteria presently on your list of satisfied criteria </DIV>
<DIV>except that one?<BR><BR>Chris Benham</DIV>
<DIV> </DIV>
<DIV>PS: For those who might not know, the "CDTT criterion" presumably</DIV>
<DIV>says that the winner must come from the CDTT set, explained below</DIV>
<DIV>by Kevin Venzke.</DIV>
<DIV> </DIV>
<DIV><A href="http://nodesiege.tripod.com/elections/#methcdtt">http://nodesiege.tripod.com/elections/#methcdtt</A></DIV>
<DIV><BR>
<P>The CDTT is a set of candidates defined by Woodall to include every </P>
<P>candidate A such that, for any other candidate B, if B has a majority-strength </P>
<P>beatpath to A, then A also has a majority-strength beatpath back to B. </P>
<P>(See <A href="http://nodesiege.tripod.com/elections/#methsch"><FONT color=#0000ff>Schulze</FONT></A> for a definition of a beatpath.) Another definition (actually, the <BR>one Woodall chooses to use) of the CDTT is that it is the union of all minimal <BR>sets such that no candidate in each set has a majority-strength loss to any </P>
<P>candidate outside this set. (Candidate A has a "majority-strength loss" to </P>
<P>candidate B if v[b,a] is greater than 50% of the number of cast votes.)<BR></P>
<P>Markus Schulze proposed this set earlier, in 1997. His wording was to take the <BR><I>Schwartz</I> set resulting from replacing with pairwise ties, all pairwise wins with </P>
<P>under a majority of the votes on the winning side.</P></DIV></div><br>
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