Smith//IRV: Difference between revisions

Content added Content deleted
(Rename category)
(Do minor cleanup, and add DMTBR disproof.)
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Example:
Example:


{{ballots|
49 A>B
3 B
49: A>B
48 C>B
3: B
48 C>B}}


B [[pairwise beat|pairwise beats]] A (51 to 49) and C (52 to 48), so B is the only candidate in the [[Smith set]] i.e. is the [[Condorcet winner]]. Therefore, A and C are eliminated, and B, being the only remaining candidate, wins.
B [[pairwise beat|pairwise beats]] A (51 to 49) and C (52 to 48), so B is the only candidate in the [[Smith set]] i.e. is the [[Condorcet winner]]. Therefore, A and C are eliminated, and B, being the only remaining candidate, wins.
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It is also possible to do '''Condorcet//IRV''': "elect the Condorcet winner if there is one, otherwise elect the IRV winner."
It is also possible to do '''Condorcet//IRV''': "elect the Condorcet winner if there is one, otherwise elect the IRV winner."

Neither Smith//IRV nor Condorcet//IRV passes [[dominant mutual third burial resistance]].<ref>{{cite web|url=http://lists.electorama.com/pipermail/election-methods-electorama.com/2022-March/003707.html|title=Condorcet-composite method DMTBR disproof|website=Election-methods mailing list archives|date=2022-03-25|last=Munsterhjelm|first=K.}}</ref>


==See also==
==See also==