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Defeat strength: Difference between revisions

→‎Standard: remove example methods—could easily confuse people into thinking Ranked Pairs has to use margins, or Schulze has to use winning votes
(Moved points pertaining to MMPO to a subindent of MMPO. Though the statements apply to MMPO, the claim that every pairwise opposition method passes LNH and FBC and fail Plurality should be cited or shown.)
(→‎Standard: remove example methods—could easily confuse people into thinking Ranked Pairs has to use margins, or Schulze has to use winning votes)
 
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=== Standard ===
* '''winning votes (wv)''' = number of votes for W>L if greater than the number of votes for L>W, otherwise zero.
** Example method: the [[Schulze method]] is usually taken to use winning votes.{{cn|date=May 2024}}
* '''margins''' = (number of votes for W>L) - (number of votes for L>W)
** Gives more strategic incentive than wv but may be easier to understand.
** Example method: Tideman originally defined [[Ranked Pairs]] as a margins method.<ref name="Tideman2">{{Cite journal |last=Tideman |first=T. N. |date=1987-09-01 |title=Independence of clones as a criterion for voting rules |url=https://doi.org/10.1007/BF00433944 |journal=Social Choice and Welfare |language=en |volume=4 |issue=3 |pages=185–206 |doi=10.1007/BF00433944 |issn=1432-217X}}</ref>
* '''pairwise (non)opposition''': number of votes for W≥L, or equivalently 1 - votes for L > W
** Strong intuitive appeal (pick the candidate opposed by the least voters)
** Example method: [[MMPO]].
*** Gives even less strategic incentive than wv (satisfies later-no-help and favorite betrayal).
*** Violates [[plurality criterion]]. A complete unknown can win with no real support, just because everyone forgot to rank them on their ballot.
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