<html><body><div style="color:#000; background-color:#fff; font-family:verdana, helvetica, sans-serif;font-size:18pt"><div>Benjamin,<br></div><div>The criterion ("criteria" is the plural) you suggest is not new. It is called Mono-add-Top, and comes from Douglas Woodall.<br><br>It is met by IRV and MinMax(Margins) but is failed by Bucklin. In my opinion IRV is the best of the methods that meet it.</div><div> </div><div>26: A>Y>X</div><div>25: B>Y>X</div><div>17: C>D>X</div><div>17: E>F>X</div><div>17: G>H>X</div><div> </div><div>The majority threshold is 51 and X wins in the third round. But if we add anywhere between 3 and 100 </div><div>X>Y ballots then Y wins in the second round.</div><div> </div><div>You'll find some interesting stuff on Kevin Venzke's old page:<br><a href="http://nodesiege.tripod.com/elections/">http://nodesiege.tripod.com/elections/</a></div><div> </div><div>Notice that your
version (in an earlier post) of the Plurality criterion is wrong.</div><div> </div><div>Chris Benham</div><div> </div><div>Benjamin Grant wrote (17 June 2013):</div><div>OK, let's assume that as defined, Bucklin fails Participation. <br><br> <br><br>Let me specify a new criteria, which already either has its own name that I do not know, or which I can call Prime Participation:<br><br> <br><br>"Adding one or more ballots that vote X as a highest preference should never<br>change the winner from X to Y"<br><br> <br><br>In other words, expressing a first place/greatest magnitude preference for<br>X, if X was already winning, cannot make X not win.<br><br> <br><br>This may be another one so basic that few or maybe no real voting systems<br>fail it?<br><br> <br><br>-Benn Grant<br><br>eFix Computer Consulting<br><br> <mailto:<a href="http://lists.electorama.com/listinfo.cgi/election-methods-electorama.com"><font color="#0066cc">benn at
4efix.com</font></a>> <a href="http://lists.electorama.com/listinfo.cgi/election-methods-electorama.com"><font color="#0066cc">benn at 4efix.com</font></a><br><br>603.283.6601<br></div></div></body></html>