<html><body><div style="color:#000; background-color:#fff; font-family:verdana, helvetica, sans-serif;font-size:18pt"><div>Ben,</div><div> </div><div>MinMax(Margins) fails the Plurality criterion. It elects the candidate with the weakest pairwise loss as measured by the difference between the two candidates' vote tallies.<br><br>An alternative definition is that it elects the candidate who needs the fewest number of extra bullet-votes to be able to pairwise-beat all the other candidates.</div><div> </div><div>3:A<br>5:B>A</div><div>6:C<br></div><div>C>B 6-5, B>A 5-3, A>C 8-6.</div><div> </div><div>That method elects B, but the Plurality criterion says that B can't win because of C. <br></div><div>Given that if the B voters had truncated the winner would have been C, this is also a failure of the Later-no-Help criterion.</div><div> </div><div>The method meets the Condorcet criterion and Mono-add-Top.
It has been promoted here by Juho Laatu.</div><div> </div><div>Chris Benham<var id="yui-ie-cursor"></var></div><div><br> </div><div> </div><div> </div><div>Ben grant wrote (24 June 2013):</div><div> </div><div>As I have had it explained to me, the Plurality Criterion is: "If there are two candidates X and Y so that X has more first place votes than Y has any place votes, then Y shouldn't win".<br><br>Which I think means that if X has, for example, 100 votes, then B would have to appear on less than 100 ballots and still *win* for this criterion to be failed, yes?<br><br>I cannot imagine a (halfway desirable) voting system that would fail the Plurality Criterion - can anyone tell me the simplest one that would? Apart from a lame one like "least votes win", I mean?<br><br> <br><br></div></div></body></html>