CDTT: Difference between revisions
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imported>James Green-Armytage m (revert from my own error... apparently "monotone" is just fine, no need for change) |
imported>KVenzke m (full name has parens and one more word in it. oops.) |
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The '''Condorcet doubly-augmented top tier''' or '''CDTT''' is defined by Douglas Woodall as the union of all minimal nonempty sets of candidates such that no candidate in each set has a majority-strength pairwise loss to any candidate outside of the set. |
The '''Condorcet (doubly-augmented gross) top tier''' or '''CDTT''' is defined by Douglas Woodall as the union of all minimal nonempty sets of candidates such that no candidate in each set has a majority-strength pairwise loss to any candidate outside of the set. |
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Equivalently it can be defined as the set containing each candidate ''A'' who has a majority-strength beatpath to every other candidate ''B'' who has a majority-strength beatpath to ''A''. That is, a candidate ''A'' is in the CDTT unless some candidate ''B'' has a majority-strength beatpath to ''A'' while ''A'' has no such beatpath to ''B''. |
Equivalently it can be defined as the set containing each candidate ''A'' who has a majority-strength beatpath to every other candidate ''B'' who has a majority-strength beatpath to ''A''. That is, a candidate ''A'' is in the CDTT unless some candidate ''B'' has a majority-strength beatpath to ''A'' while ''A'' has no such beatpath to ''B''. |