<html><body><div style="color:#000; background-color:#fff; font-family:Courier New, courier, monaco, monospace, sans-serif;font-size:12pt"><div style="RIGHT: auto"><SPAN style="RIGHT: auto">Hi Mike,<BR class=yui-cursor style="RIGHT: auto"></SPAN></div>
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<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> MIKE OSSIPOFF <nkklrp@hotmail.com><BR><B><SPAN style="FONT-WEIGHT: bold">À :</SPAN></B> election-methods@electorama.com <BR><B><SPAN style="FONT-WEIGHT: bold">Envoyé le :</SPAN></B> Jeudi 1 mars 2012 15h55<BR><B><SPAN style="FONT-WEIGHT: bold">Objet :</SPAN></B> [EM] Better Approval-voting option? Could ABucklin fail FBC?<BR></FONT></DIV><BR>
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<DIV dir=ltr style="RIGHT: auto">But could this happen?:<BR><BR>If you rank your favorite, F, in 1st place, s/he gets a majority, even though s/he doesn't win, because someone else has a higher<BR>majority. <BR><BR>A number of people rank F, and, if you help F get a majority, then they won't give a vote to their next choice.<BR><BR>That's regrettable, because their next choice could win with those votes, while F can't win. And when their next choice doesn't win,<BR>someone worse than s/he (as judged by you) wins.<BR><BR>You got a worse result because you didn't favorite-bury.<BR><BR>So maybe, even if that scenario is merely possible, I shouldn't propose Stepwise-to-Majority unless it turns out that the FBC-failure scenario<BR>can't happen.<BR><BR>But more worrying is the fact that one could tell that same story about ABucklin (the ER-Bucklin defined at electowiki).<BR><BR>Of course a vague verbal scenario like the above might not have an actual
numerical example that can carry it out. There might<BR>be some reason why such an example couldn't work. Still, it's worrying.<BR><BR>Does anyone know if there's actually a proof that ER-Bucklin meets FBC? <BR><BR>Can it be shown that the verbal FBC-Failure scenario described above couldn't really happen?<BR><BR>Might ABucklin fail FBC?</DIV>
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<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">I want to help but I'm not sure I understand the failure scenario you</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">described.</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif"> </DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">With three candidates ER-Bucklin(whole) gives the same results as MCA.</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">There can't be much doubt that MCA satisfies FBC. But maybe you have in</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">mind a scenario with more than three candidates?</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif"><VAR id=yui-ie-cursor></VAR> </DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">Off the top of my head I would argue that ERBW satisfies FBC because</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">when you raise your favorite to equal-top, this can only delay the</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">reception of votes for candidates that you like less than your top</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">candidates (because it's only on your own ballot that this has an </DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">effect). You aren't doing anything to delay acquisition of votes by</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">your top-ranked compromise choice from other voters.</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif"> </DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">Any thoughts?</DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif"> </DIV>
<DIV style="FONT-SIZE: 12pt; RIGHT: auto; FONT-FAMILY: Courier New, courier, monaco, monospace, sans-serif">Kevin</DIV>
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