<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">How did we get here? What I see called Condorcet is not really that.<div><br><div><div>On Feb 6, 2012, at 10:02 PM, Jameson Quinn wrote:</div><div>...</div><blockquote type="cite"><div class="gmail_quote"><div><br></div><div>Say people vote rated ballots with 6 levels, and after the election you see a histogram of candidate X and Y that looks like this:</div><div><br></div><div><font face="'courier new', monospace">(better)</font></div> <div><font face="'courier new', monospace">6:Y X</font></div><div><font face="'courier new', monospace">5: Y X</font></div><div><font face="'courier new', monospace">4: YX</font></div><div><font face="'courier new', monospace">3: XY</font></div> <div><font face="'courier new', monospace">2: X Y</font></div><div><font face="'courier new', monospace">1:X Y</font></div><div><font face="'courier new', monospace">(worse)</font></div><div><font face="'courier new', monospace">N:123456789</font></div> <div><font face="'courier new', monospace"><br></font></div><div><font face="arial, helvetica, sans-serif">That is, 3 people rated X as 6 and only one person rated them as 1, and vice versa for Y.</font></div><div> <span style="font-family:'courier new',monospace"><br></span></div><div><font face="arial, helvetica, sans-serif">X wins, right?</font></div><div><span style="font-family:'courier new',monospace"><br></span></div> <div><font face="arial, helvetica, sans-serif">If it's Condorcet, not necessarily. This is consistent with a 14:12 victory for Y over X.</font></div></div></blockquote><div><br></div>I count 15 vs 6, being that all you can say in Condorcet is X>Y, X=Y, and X<Y. There being no cycles in this election, I would not expect any variation among Condorcet methods. Perhaps Jameson was thinking of something other than Condorcet - consistent with saying "rated" rather than "ranked"? <br><blockquote type="cite"><div class="gmail_quote"><div><font face="arial, helvetica, sans-serif"><br></font></div><div> <font face="arial, helvetica, sans-serif">If you present the pairwise total, it's "obvious" to people that Y should win. If you present the histogram, it's at least as "obvious" to people that X should win. If what people find obvious isn't even consistent (which even just pairwise isn't, of course; that's why there is more than one Condorcet system), then you can't elevate "obvious" to an unbreakable principle.</font></div></div></blockquote>...</div><br></div></body></html>