<div dir="ltr"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">Hi Ben, I've pushed at EM a minor adjustment to IRV that solves the problem you posed. <br>The idea is to require voters to vote for only 3 candidates and then count the number of times</span><div>
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">each candidate is ranked to determine 3 finalists and then use a ranked vote to determine the winner.</span></div><div><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">In each of the cases below, assuming the top 3 get ranked, C wd be eliminated first by virtue of how none of the 40% voters ranked C.<br>
In that case, the second group would consistently rank B as their top candidate in the second stage and B would consistently win the second and final stage.</span></div><div><span style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br>
</span></div><div><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">So IRV is easy to tweak to solve your dilemma.</span></div><div><span style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br>
</span></div><div><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">This fix also makes the vote summarizable at the precinct level in a faster manner and it encourages voters to rank multiple candidates since lower-rankings </span></div>
<div><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">will be more likely to make a diff in the first stage to determine the final three and it's much simpler than Bucklin or other voting rules.</span></div>
<div><span style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br></span></div><div><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">dlw<br><br>Message: 1</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">Date: Sat, 15 Jun 2013 23:26:25 -0400</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">From: "Benjamin Grant" <</span><a href="mailto:benn@4efix.com" style="font-family:arial,sans-serif;font-size:13.513513565063477px">benn@4efix.com</a><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">></span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">To: <</span><a href="mailto:election-methods@lists.electorama.com" style="font-family:arial,sans-serif;font-size:13.513513565063477px">election-methods@lists.electorama.com</a><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">></span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">Subject: [EM] Absolutely new here</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">Message-ID: <004a01ce6a41$4989a8e0$</span><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">dc9cfaa0$@</span><a href="http://4efix.com/" target="_blank" style="font-family:arial,sans-serif;font-size:13.513513565063477px">4efix.com</a><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">></span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">Content-Type: text/plain; charset="us-ascii"</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">I just started trying to wrap my brain around all the ins and outs about</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">voting methods, and I wanted to check two things with my elders (on this</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">subject):</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">1) As far as I can see, the reason IRV has some strange/unusual results</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">is because it is absolutely critical what order you eliminate candidates. So</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">an election where Voting Bloc 1 has a 13% share of the ballots and Voting</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">Bloc 2 has a 16% share of the ballots can utterly flip around using IRV if</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">VB1 goes up two points and VB2 goes down 2. Because with IRV, the order of</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">elimination is really the first-most deciding factor in who wins. For</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">example, here are three different scenarios:</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">40% A B D C</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">25 C B D A</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">20 D B C A</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">15 B A C D</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px"> WINNER: A</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">(the topline means of course that 40% put candidate A first, B second, D</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">third, and C last.)</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">40% A B D C</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">25 C B D A</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">26 D B C A</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">9 B A C D</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px"> WINNER: D</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">40% A B D C</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">25 C B D A</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">17 D B C A</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">18 B A C D</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px"> WINNER: B</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">A few percent either way on the last line changes *everything*.</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><span style="font-family:arial,sans-serif;font-size:13.513513565063477px">This seems to be a flaw with IRV, yes? It is "too sensitive" on small</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px">
<span style="font-family:arial,sans-serif;font-size:13.513513565063477px">changes because they can change the order of elimination.</span><br style="font-family:arial,sans-serif;font-size:13.513513565063477px"><div><div dir="ltr">
dlw</div></div>
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