Defeat strength: Difference between revisions
Content added Content deleted
(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.) |
|||
| Line 12: | Line 12: | ||
** 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> |
** 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 |
* '''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) |
** Strong intuitive appeal (pick the candidate opposed by the least voters) |
||
** Violates [[plurality criterion]]. |
|||
| ⚫ | |||
** Example method: [[MMPO]]. |
** Example method: [[MMPO]]. |
||
| ⚫ | |||
| ⚫ | |||
* '''Relative margins''': Defeat strength = margin ÷ (votes for W≠L) |
* '''Relative margins''': Defeat strength = margin ÷ (votes for W≠L) |
||