<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 Forest,<BR class=yui-cursor style="RIGHT: auto"></SPAN></div>
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<DIV style="FONT-SIZE: 12pt; FONT-FAMILY: times new roman, new york, times, serif"><B><SPAN style="FONT-WEIGHT: bold">De :</SPAN></B> "fsimmons@pcc.edu" <fsimmons@pcc.edu><BR><B><SPAN style="FONT-WEIGHT: bold">À :</SPAN></B> Chris Benham <cbenhamau@yahoo.com.au> <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 19h47<BR><B><SPAN style="FONT-WEIGHT: bold">Objet :</SPAN></B> Re: [EM] An ABE solution<BR></FONT><BR>This last statement is the one I referred to. In the case of Approval the winner can be determined soley <BR>from the pairwise matrix, so Approval satisfies this condition. It also satisfies the FBC, so the "proof" is <BR>either wrong or it makes other tacit assumptions that somehow rule out Approval.</DIV></BLOCKQUOTE></BLOCKQUOTE>
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<DIV style="FONT-SIZE: 12pt; FONT-FAMILY: times new roman, new york, times, serif">The latter is correct, because I used Woodall's scheme. By definition an election method doesn't use</DIV>
<DIV style="FONT-SIZE: 12pt; FONT-FAMILY: times new roman, new york, times, serif">approval ballots. You have to evaluate a rank ballot method that gives the same results (and there is more</DIV>
<DIV style="FONT-SIZE: 12pt; FONT-FAMILY: times new roman, new york, times, serif">than one way to do that with Approval).</DIV>
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<DIV style="FONT-SIZE: 12pt; FONT-FAMILY: times new roman, new york, times, serif">The thing with three slots and<VAR id=yui-ie-cursor></VAR> three candidates, and the proof attempt, is just that it's probably possible to</DIV>
<DIV style="FONT-SIZE: 12pt; FONT-FAMILY: times new roman, new york, times, serif">convert the method into a rank method.</DIV>
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<DIV style="FONT-SIZE: 12pt; FONT-FAMILY: times new roman, new york, times, serif">Kevin</DIV></DIV></div></body></html>