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== Baldwin and Nanson ==
"It follows that the only Condorcet-compliant sequential runoff method based on a weighted positional method is Baldwin"
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:By "sequential" I mean that it eliminates one candidate at a time. Nanson eliminates every candidate with a below-average Borda score, and so may take more than one at once. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 15:53, 18 February 2020 (UTC)
:: Just as a technical note, IRV is often done with batch elimination, though only when this is mathematically guaranteed to give the same winner(s) as one-at-a-time elimination. [[User:BetterVotingAdvocacy|BetterVotingAdvocacy]] ([[User talk:BetterVotingAdvocacy|talk]]) 15:00, 27 February 2020 (UTC)
The Borda count is the only weighted positional method that never ranks the Condorcet winner last.▼
== Borda and Condorcet Winner ranking ==
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Since Nanson and Baldwin pass Smith, can we rephrase this as "never ranks every member of the Smith set last"? [[User:BetterVotingAdvocacy|BetterVotingAdvocacy]] ([[User talk:BetterVotingAdvocacy|talk]]) 07:20, 27 February 2020 (UTC)
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: No, because those aren't weighted positional methods. They are elimination methods with weighted positional methods as the base. Same difference as IRV (or Carey) vs FPTP.
: As for the second implied question, any method that never ranks the CW last may be used along with one-at-a-time elimination to pass Smith, even if
: For Nanson, you also need to prove that eliminating below-average Borda count members won't erase the whole Smith set in one go, so that's slightly more complicated. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 10:06, 27 February 2020 (UTC)
== Category ==
Can we make a category for IRV, Coombs, Baldwin, and similar methods? "Sequential runoff methods" or "sequential elimination methods" or something? — [[User:Psephomancy|Psephomancy]] ([[User talk:Psephomancy|talk]]) 15:49, 27 February 2020 (UTC)
: I've just created [[Sequential loser-elimination method]] and [[:Category:Sequential loser-elimination methods]]. [[User:Kristomun|Kristomun]] ([[User talk:Kristomun|talk]]) 20:22, 28 February 2020 (UTC)
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