Ranked Pairs: Difference between revisions

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-All candidates suffer at least one pairwise defeat, so the RP procedure must be done. The pairwise victories can be ordered from largest to smallest as A > B 9, C > A 8, and B > C 7. The first two victories are locked in (A>B creates no cycle, since it's the first defeat added, and B>C also creates no cycle, since for A, it shows A>B>C), and then the third defeat is thrown away (because adding C>A would result in, for A, an A>B>C>A [[beatpath]] cycle), resulting in the following pairwise comparison table:
+All candidates suffer at least one pairwise defeat, so the RP procedure must be done. The pairwise victories can be ordered from largest to smallest as A > B 9, C > A 8, and B > C 7. The first two victories are locked in (A>B creates no cycle, since it's the first defeat added, and C>A also creates no cycle, since for A, it shows C>A>B), and then the third defeat is thrown away (because adding B>C would result in, for C, a C>A>B>C [[beatpath]] cycle), resulting in the following pairwise comparison table:
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