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<div>Actually BRGL = MaxMin Loser-Elimination.</div>
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<div>The winner of MaxMin is the candidate whose Min pairwise support is maximal. The loser of MaxMin is the candidate whose Min pairwise support is minimal ... the very "Gross Loser" candidate that BRGL eliminates at each elimination step (from among the candidates
not previously eliminated).</div>
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<div>Standard Reynaud, by way of contrast is MinMax Loser-Elimination.</div>
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<div>The winner of MinMax is tbe candidate whose max pairwise defeat is minimal. The loser of MinMax is the candidate whose max defeat is maximal ... the very candidste that standard Reynaud eliminates at each step (from among the candidates not previously
eliminated).</div>
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<div dir="auto" style="font-size:85%; color:#575757">Sent from my MetroPCS 4G LTE Android Device</div>
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<div>-------- Original message --------</div>
<div>From: Daniel Carrera <dcarrera@gmail.com> </div>
<div>Date: 7/7/21 12:28 PM (GMT-08:00) </div>
<div>To: Susan Simmons <suzerainsimmons@outlook.com> </div>
<div>Cc: Kristofer Munsterhjelm <km_elmet@t-online.de>, election-methods@lists.electorama.com
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<div>Subject: Re: [EM] Best IRV Tweak </div>
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<div dir="ltr" class="gmail_attr">On Wed, Jul 7, 2021 at 2:11 PM Daniel Carrera <<a href="mailto:dcarrera@gmail.com">dcarrera@gmail.com</a>> wrote:<br>
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<div dir="ltr" class="gmail_attr">On Wed, Jul 7, 2021 at 12:11 PM Susan Simmons <<a href="mailto:suzerainsimmons@outlook.com" target="_blank">suzerainsimmons@outlook.com</a>> wrote:<br>
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<div>Yes, Kristofer, specifically it is Benham's "Raynaud(Gross Loser)" the version of Reynaud that Chris Benham devised to satisfy Plurality. </div>
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<div>Let's call it BRGL to avoid the question of Reynaud versus Raynaud.</div>
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<div style="font-family:"trebuchet ms",sans-serif; font-size:small">Can also be called "Maximin"... I think... To me it looks like a mirror of Minimax (using votes instead of margins): The winner is the candidate whose lowest number of votes is higher. Maybe
there is a subtle difference that I haven't detected yet, BRGL = maximin. Though that's not how I would choose to explain it to the public. The usual definition is clearer, especially to someone who already knows IRV: "remove the candidate with fewest votes
in any pairwise contest and repeat".</div>
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Ugh... after I hit "send" I realized that this is wrong. In an election where voters are not required to do a full ranking, it is possible that removing the candidate with the fewest votes 'X' also removes the pairwise contest with the next-lowest number of
votes:</div>
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5 --- A > B</div>
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2 --- A > C</div>
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3 --- B > A</div>
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4 --- B > C</div>
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1 --- C > A</div>
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6 --- C > B</div>
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The "maximin" winner is B but the BRGL winner is A. So nevermind.</div>
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Daniel.</div>
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