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<div dir="ltr" data-setdir="false">Thanks for doing this Kristofer. If I counted correctly Ranked Pairs beat Benham 5-4 with two ties, so not a particularly significant result in that respect. But it must have had at least two more approvals given that Minmax is between them. Perhaps it would have been interesting to have the margins version on the ballot to see how it compared. I think people likely just saw Ranked Pairs on the ballot and left it at that. I'm not sure exactly what the difference between them would be in practice. I think it's been said that winning votes protects against burial better, but if it does that by punishing burial by causing a worse result for everyone, it's not necessarily a good thing. People won't necessarily know the optimum strategy when using a voting system. Ranked ballots all look the same after all.</div><div dir="ltr" data-setdir="false"><br></div><div dir="ltr" data-setdir="false">Toby</div><div><br></div>
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On Saturday 18 May 2024 at 00:36:32 BST, Kristofer Munsterhjelm <km_elmet@t-online.de> wrote:
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<div><div dir="ltr">Here are the ballots in EM format:<br></div><div dir="ltr"><br></div><div dir="ltr">1: Approval > STAR > ApprovalRunoff > Benham = SchwartzWoodall = Woodall <br></div><div dir="ltr"> > RankedPairs > Minmax > SmithApprovalImplicit > Schulze > Baldwin = <br></div><div dir="ltr">CondorcetBorda = CopelandBorda = DoubleDefeatHare = MSA = MSMLV = MSTB = <br></div><div dir="ltr">Raynaud = RCIPE = SmithApprovalExplicit = SmithDAC = SmithScore > MJ > <br></div><div dir="ltr">IRV > Plurality<br></div><div dir="ltr">1: IRV > STAR > ApprovalRunoff > Approval > Baldwin = Benham = <br></div><div dir="ltr">CondorcetBorda = CopelandBorda = DoubleDefeatHare = Minmax = MJ = MSA = <br></div><div dir="ltr">MSMLV = MSTB = RankedPairs = Raynaud = RCIPE = Schulze = SchwartzWoodall <br></div><div dir="ltr">= SmithApprovalExplicit = SmithApprovalImplicit = SmithDAC = SmithScore <br></div><div dir="ltr">= Woodall > Plurality<br></div><div dir="ltr">1: MSA > SmithApprovalExplicit = SmithApprovalImplicit = IRV = Benham = <br></div><div dir="ltr">DoubleDefeatHare > RankedPairs = Schulze > Approval > Minmax > Baldwin = <br></div><div dir="ltr">CondorcetBorda = CopelandBorda = MSMLV = MSTB = Raynaud = RCIPE = <br></div><div dir="ltr">SchwartzWoodall = SmithDAC = SmithScore = Woodall > MJ > STAR = <br></div><div dir="ltr">ApprovalRunoff = Plurality<br></div><div dir="ltr">1: Approval > RankedPairs > STAR > Woodall > SmithDAC > Minmax > RCIPE > <br></div><div dir="ltr">Benham > MSA > SmithApprovalExplicit > ApprovalRunoff > MSMLV > <br></div><div dir="ltr">SmithApprovalImplicit > DoubleDefeatHare > Raynaud > Schulze > <br></div><div dir="ltr">SchwartzWoodall > SmithScore > MJ > Plurality > IRV > CondorcetBorda > <br></div><div dir="ltr">Baldwin > CopelandBorda<br></div><div dir="ltr">1: STAR > SmithScore > Baldwin = Benham = CondorcetBorda = CopelandBorda <br></div><div dir="ltr">= Raynaud = Minmax = RankedPairs = Schulze = SchwartzWoodall = <br></div><div dir="ltr">SmithApprovalExplicit = SmithApprovalImplicit = SmithDAC = Woodall = MSA <br></div><div dir="ltr">= MSMLV = MSTB > ApprovalRunoff > Approval > RCIPE > DoubleDefeatHare > <br></div><div dir="ltr">MJ > IRV > Plurality<br></div><div dir="ltr">1: RankedPairs > Schulze = Benham > Woodall > Minmax > SchwartzWoodall > <br></div><div dir="ltr">SmithApprovalImplicit = SmithApprovalExplicit > SmithScore > Raynaud > <br></div><div dir="ltr">Baldwin > MJ > DoubleDefeatHare = MSTB = MSMLV = MSA > CopelandBorda > <br></div><div dir="ltr">SmithDAC > ApprovalRunoff > STAR > RCIPE > CondorcetBorda > Approval > <br></div><div dir="ltr">IRV > Plurality<br></div><div dir="ltr">1: CondorcetPlur > Minmax > RankedPairs > Schulze > BTRIRV > Baldwin = <br></div><div dir="ltr">Benham = CondorcetBorda = CopelandBorda = MSA = MSMLV = MSTB = Raynaud = <br></div><div dir="ltr">SchwartzWoodall = SmithApprovalExplicit = SmithApprovalImplicit = <br></div><div dir="ltr">SmithDAC = SmithScore = Woodall > IRV > Approval > STAR > Plurality > Score<br></div><div dir="ltr">1: RCIPE > Benham > Minmax > RankedPairs > Woodall > SchwartzWoodall > <br></div><div dir="ltr">Baldwin > CopelandBorda > CondorcetBorda > Schulze > SmithScore > <br></div><div dir="ltr">Raynaud > MSTB > MSMLV > SmithDAC > DoubleDefeatHare > IRV > MJ > STAR > <br></div><div dir="ltr">Approval > MSA > SmithApprovalExplicit > SmithApprovalImplicit > <br></div><div dir="ltr">Plurality > ApprovalRunoff<br></div><div dir="ltr">1: Approval > SmithScore > MSA > SmithApprovalExplicit > RankedPairs > <br></div><div dir="ltr">Benham > Minmax > STAR > ApprovalRunoff = Baldwin = CondorcetBorda = <br></div><div dir="ltr">CopelandBorda = DoubleDefeatHare = IRV = MJ = MSMLV = MSTB = Raynaud = <br></div><div dir="ltr">RCIPE = Schulze = SchwartzWoodall = SmithApprovalImplicit = SmithDAC = <br></div><div dir="ltr">Woodall > Plurality<br></div><div dir="ltr">1: STAR > SmithScore > Score > MJ > Approval = SmithApprovalExplicit = <br></div><div dir="ltr">SmithApprovalImplicit = MSA > ApprovalRunoff = RankedPairs = Schulze > <br></div><div dir="ltr">Baldwin = Benham = CopelandBorda = MSMLV = MSTB = Raynaud = <br></div><div dir="ltr">SchwartzWoodall = SmithDAC = Woodall > CondorcetBorda = Minmax > RCIPE > <br></div><div dir="ltr">IRV > Plurality<br></div><div dir="ltr">1: Benham > SchwartzWoodall > Woodall > RankedPairs > Schulze > MSTB > <br></div><div dir="ltr">Minmax > BTRIRV > Raynaud > Baldwin > RCIPE > IRV > SmithDAC > MSMLV > <br></div><div dir="ltr">MSA > SmithApprovalExplicit > SmithApprovalImplicit > SmithScore > <br></div><div dir="ltr">DoubleDefeatHare > CopelandBorda > CondorcetBorda > Approval > MJ > <br></div><div dir="ltr">Score > ApprovalRunoff > STAR > Plurality > Borda<br></div><div dir="ltr"><br></div><div dir="ltr">---------------------------------------------------------------------<br></div><div dir="ltr"><br></div><div dir="ltr">Ranked Pairs is the CW -- and Benham beats everybody but Ranked Pairs <br></div><div dir="ltr">pairwise. This can be verified by going to Rob LeGrand's calculator <br></div><div dir="ltr">(http://www.cs.angelo.edu/~rlegrand/rbvote/calc.html with mirror <br></div><div dir="ltr"><a href="https://munsterhjelm.no/km/rbvote/calc.html" rel="nofollow" target="_blank">https://munsterhjelm.no/km/rbvote/calc.html</a> for people outside the US) <br></div><div dir="ltr">and selecting "calculate all winners".<br></div><div dir="ltr"><br></div><div dir="ltr">Here are the Schulze results:<br></div><div dir="ltr"><br></div><div dir="ltr">1 Ranked Pairs (wv)<br></div><div dir="ltr">2 Benham<br></div><div dir="ltr">3 Approval<br></div><div dir="ltr"> Minmax (wv)<br></div><div dir="ltr"> Schulze<br></div><div dir="ltr"> STAR<br></div><div dir="ltr">7 Smith//Score<br></div><div dir="ltr">8 Margins-Sorted Approval<br></div><div dir="ltr"> Schwartz Woodall<br></div><div dir="ltr"> Smith//Approval (implicit)<br></div><div dir="ltr"> Woodall<br></div><div dir="ltr">12 Smith//Approval (explicit)<br></div><div dir="ltr">13 Raynaud<br></div><div dir="ltr">14 Baldwin<br></div><div dir="ltr">15 Max Strength Transitive Beatpath<br></div><div dir="ltr">16 Margins-Sorted Minimum Losing Votes<br></div><div dir="ltr"> Smith//DAC<br></div><div dir="ltr">18 Copeland//Borda (Ranked Robin)<br></div><div dir="ltr">19 Condorcet//Borda (Black)<br></div><div dir="ltr">20 Approval with manual runoff<br></div><div dir="ltr"> Double Defeat, Hare<br></div><div dir="ltr"> RCIPE<br></div><div dir="ltr">23 Majority Judgement<br></div><div dir="ltr">24 IRV<br></div><div dir="ltr">25 Plurality<br></div><div dir="ltr">26 BTR-IRV (write-in)<br></div><div dir="ltr">27 Score (write-in)<br></div><div dir="ltr">28 Borda (write-in)<br></div><div dir="ltr"> Condorcet//Plurality (write-in)<br></div><div dir="ltr"><br></div><div dir="ltr">The Approval voting results:<br></div><div dir="ltr"><br></div><div dir="ltr">1 Ranked Pairs (wv)<br></div><div dir="ltr">2 Minmax (wv)<br></div><div dir="ltr">3 Benham<br></div><div dir="ltr"> STAR<br></div><div dir="ltr"> Woodall<br></div><div dir="ltr">6 Approval<br></div><div dir="ltr">7 Approval with manual runoff<br></div><div dir="ltr"> Margins-Sorted Approval<br></div><div dir="ltr"> Schulze<br></div><div dir="ltr">10 Schwartz Woodall<br></div><div dir="ltr"> Smith//Approval (explicit)<br></div><div dir="ltr"> Smith//Approval (implicit)<br></div><div dir="ltr"> Smith//Score<br></div><div dir="ltr">14 Baldwin<br></div><div dir="ltr"> BTR-IRV (write-in)<br></div><div dir="ltr"> Condorcet//Borda (Black)<br></div><div dir="ltr"> Condorcet//Plurality (write-in)<br></div><div dir="ltr"> Copeland//Borda (Ranked Robin)<br></div><div dir="ltr"> Double Defeat, Hare<br></div><div dir="ltr"> IRV<br></div><div dir="ltr"> Majority Judgement<br></div><div dir="ltr"> Margins-Sorted Minimum Losing Votes<br></div><div dir="ltr"> Max Strength Transitive Beatpath<br></div><div dir="ltr"> Raynaud<br></div><div dir="ltr"> RCIPE<br></div><div dir="ltr"> Score (write-in)<br></div><div dir="ltr"> Smith//DAC<br></div><div dir="ltr">28 Borda (write-in)<br></div><div dir="ltr"> Plurality<br></div><div dir="ltr"><br></div><div dir="ltr">and for fun, Schulze with ties broken by Approval:<br></div><div dir="ltr"><br></div><div dir="ltr">1 Ranked Pairs (wv)<br></div><div dir="ltr">2 Benham<br></div><div dir="ltr">3 Minmax (wv)<br></div><div dir="ltr">4 STAR<br></div><div dir="ltr">5 Approval<br></div><div dir="ltr">6 Schulze<br></div><div dir="ltr">7 Smith//Score<br></div><div dir="ltr">8 Woodall<br></div><div dir="ltr">9 Margins-Sorted Approval<br></div><div dir="ltr">10 Schwartz Woodall<br></div><div dir="ltr"> Smith//Approval (implicit)<br></div><div dir="ltr">12 Smith//Approval (explicit)<br></div><div dir="ltr">13 Raynaud<br></div><div dir="ltr">14 Baldwin<br></div><div dir="ltr">15 Max Strength Transitive Beatpath<br></div><div dir="ltr">16 Margins-Sorted Minimum Losing Votes<br></div><div dir="ltr"> Smith//DAC<br></div><div dir="ltr">18 Copeland//Borda (Ranked Robin)<br></div><div dir="ltr">19 Condorcet//Borda (Black)<br></div><div dir="ltr">20 Approval with manual runoff<br></div><div dir="ltr">21 Double Defeat, Hare<br></div><div dir="ltr"> RCIPE<br></div><div dir="ltr">23 Majority Judgement<br></div><div dir="ltr">24 IRV<br></div><div dir="ltr">25 Plurality<br></div><div dir="ltr">26 BTR-IRV (write-in)<br></div><div dir="ltr">27 Score (write-in)<br></div><div dir="ltr">28 Condorcet//Plurality (write-in)<br></div><div dir="ltr">29 Borda (write-in)<br></div><div dir="ltr"><br></div><div dir="ltr">This should be accurate, but if you spot a typo or other mistake <br></div><div dir="ltr">somewhere, let me know.<br></div><div dir="ltr"><br></div><div dir="ltr">-km<br></div><div dir="ltr">----<br></div><div dir="ltr">Election-Methods mailing list - see <a href="https://electorama.com/em" rel="nofollow" target="_blank">https://electorama.com/em</a> for list info<br></div></div>
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