Dominant mutual third set: Difference between revisions

Add implication about DMTBR protecting the method from the worst DH3 outcome.
m (Add reversal symmetry incompatibility implication here as well)
(Add implication about DMTBR protecting the method from the worst DH3 outcome.)
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Reversal symmetry and Condorcet are incompatible with [[Dominant mutual third|dominant mutual third burial resistance]].<ref>{{cite web|url=http://lists.electorama.com/pipermail/election-methods-electorama.com/2018-April/001760.html|title=Condorcet and Reversal Symmetry are incompatible with DMTBR|website=Election-methods mailing list archives|date=2018-04-03|first=Kristofer|last=Munsterhjelm}}</ref> Requiring reversal symmetry will thus weaken a Condorcet method's resistance to strategy, all other things equal.
 
Dominant mutual third burial resistance grants immunity to the worst outcome of the [[Dark horse plus 3 rivals]] scenario. Since the smallest DMT set does not contain the dark horse, burial (raising the dark horse) can't make him win. However, the burial might still partially succeed - depending on the method, one of the burying factions might still get its preferred candidate elected by burying the competing candidates, if that faction's preferred candidate is part of the smallest DMT set.
 
== Notes ==
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