Voice of reason: Difference between revisions
Added DMTBR failure.
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It is [[Monotonicity criterion|monotone]] and always elects [[core support|a candidate with at least one first preference]]. It thus fails the [[Condorcet criterion]] and passes the [[Majority criterion]]. It also passes the [[Mutual majority criterion|mutual majority]] criterion.
The voice of reason fails clone independence. Suppose that A wins due to some ballot that ranks A>B>C>D being selected, and on some other ballot, B>A>C>D. Now clone C into clones C1...Cn so that society's pairwise preferences are C1>C2>...>Cn, and let the A-first ballots rank the C clones in some other order whereas the B-first ballots rank the C clones in this order. This will increase the B-first ballots' score relative to the A-ballots and may make B win.
Burt Monroe suggested that methods that fail his Nonelection of Irrelevant Alternatives criterion are quickly abandoned in practice due to strategic voting making them elect candidates who are universally considered to be worst.<ref>{{cite journal|title = Raising Turkeys: An extension and devastating application of Myerson-Weber voting equilibrium| last = Monroe| first = Burt L.| journal = Presentation to the American Political Science Association in San Francisco.| date = September 2001|url=https://www.accuratedemocracy.com/archive/condorcet/Monroe/004004MonroeBurt.pdf}}</ref> Like the [[First Past the Post electoral system]], [[runoff voting]], and [[IRV]], the voice of reason method passes this criterion.
Despite passing Monroe's NIA criterion, the voice of reason fails [[dominant mutual third burial resistance]],<ref>{{cite web|url=http://lists.electorama.com/pipermail/election-methods-electorama.com/2022-June/003991.html|title=DMTBR again: Voice of reason|website=Election-methods mailing list archives|date=2022-06-30|last=Munsterhjelm|first=K.}}</ref> demonstrating that NIA doesn't require DMTBR.
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[[Category:Single-winner voting methods]]
[[Category:Ranked voting methods]]
[[Category:Monotonic electoral systems]]
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