<html><body><div style="color:#000; background-color:#fff; font-family:times new roman, new york, times, serif;font-size:12pt"><div style="RIGHT: auto"><SPAN style="RIGHT: auto">Hi Chris,<BR class=yui-cursor style="RIGHT: auto"></SPAN></div>
<div style="RIGHT: auto"><BR style="RIGHT: auto"></div>
<DIV style="FONT-SIZE: 12pt; FONT-FAMILY: times new roman, new york, times, serif">
<DIV style="FONT-SIZE: 12pt; FONT-FAMILY: times new roman, new york, times, serif"><FONT face=Arial size=2>
<BLOCKQUOTE dir=ltr style="MARGIN-RIGHT: 0px">
<BLOCKQUOTE>
<DIV class=hr style="BORDER-RIGHT: #ccc 1px solid; PADDING-RIGHT: 0px; BORDER-TOP: #ccc 1px solid; PADDING-LEFT: 0px; FONT-SIZE: 0px; PADDING-BOTTOM: 0px; MARGIN: 5px 0px; BORDER-LEFT: #ccc 1px solid; LINE-HEIGHT: 0; PADDING-TOP: 0px; BORDER-BOTTOM: #ccc 1px solid; HEIGHT: 0px" readonly="true" contenteditable="false"></DIV><B><SPAN style="FONT-WEIGHT: bold">De :</SPAN></B> Chris Benham <cbenhamau@yahoo.com.au><BR><B><SPAN style="FONT-WEIGHT: bold">À :</SPAN></B> "fsimmons@pcc.edu" <fsimmons@pcc.edu> <BR><B><SPAN style="FONT-WEIGHT: bold">Cc :</SPAN></B> EM <election-methods@lists.electorama.com> <BR><B><SPAN style="FONT-WEIGHT: bold">Envoyé le :</SPAN></B> Mercredi 23 Novembre 2011 7h08<BR><B><SPAN style="FONT-WEIGHT: bold">Objet :</SPAN></B> [EM] An ABE solution<BR></FONT><BR></BLOCKQUOTE></BLOCKQUOTE>
<BLOCKQUOTE dir=ltr style="MARGIN-RIGHT: 0px">
<BLOCKQUOTE dir=ltr style="RIGHT: auto; MARGIN-RIGHT: 0px">
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">It is certainly a clear proof of the incompatibilty of the Condorcet criterion and Kevin's later</SPAN></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">suggested "variation" of the FBC, "Sincere Favorite":</SPAN></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto"></SPAN> </DIV><SPAN style="RIGHT: auto">
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><I style="RIGHT: auto">Suppose a subset of the ballots, all identical, rank every candidate in S (where S contains at least two candidates) equal to each other, and above every other candidate. Then, arbitrarily lowering some candidate X from S on these ballots must not increase the probability that the winner comes from S.</I></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff">A simpler way to word this would be: <I>You should never be able to help your favorites by lowering one of them.</I></DIV></SPAN>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto"></SPAN> </DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto"><A style="RIGHT: auto" href="http://nodesiege.tripod.com/elections/#critfbc" target=_blank rel=nofollow>http://nodesiege.tripod.com/elections/#critfbc</A><BR></SPAN></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">I can't see any real difference between this and regular FBC, which probably partly explains</SPAN></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">why it didn't catch on.</SPAN></DIV></BLOCKQUOTE></BLOCKQUOTE>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto"></SPAN> </DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">Sincere Favorite is supposed to be a votes-only translation of FBC. It should clarify what I am doing when I</SPAN></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">check whether a method satisfies FBC. It's possible that a method can satisfy FBC without satisfying Sincere</SPAN></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">Favorite, but it would be hard to design a method to do so, I think.</SPAN></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto"></SPAN> </DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">Besides the issue you mention, there are also the facts that I rarely use </SPAN><SPAN style="RIGHT: auto">the "sincere favorite" name myself and </SPAN></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">that the SF acronym would be confusing given the "Strategy-Free" criterion with </SPAN><SPAN style="RIGHT: auto">the same initials.</SPAN></DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto"></SPAN> </DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; COLOR: #000; FONT-FAMILY: times new roman, new york, times, serif; BACKGROUND-COLOR: #fff"><SPAN style="RIGHT: auto">Kevin</SPAN></DIV></DIV></DIV></div></body></html>