Defeat-dropping Condorcet methods: Difference between revisions

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[[Category:Condorcet methods]]
[[Category:Condorcet methods]]
The overarching goal of defeat-droppers is to elect a candidate who is "closest" to being a [[Condorcet winner]] i.e. to minimize the number of "overruled" voters.
These are [[Condorcet methods]] which only differ from [[Minimax]] in situations where there are more than 3 candidates, or pairwise ties when there are 3 or fewer candidates. Defeat-dropping Condorcet methods that pass [[Independence of Smith-dominated Alternatives]] are equivalent to [[Smith//Minimax]] with a Smith set of 3 or fewer candidates with no pairwise ties between them.

These are [[Condorcet methods]] which reduce to [[Minimax]] in situations when there are 3 or fewer candidates (except possibly if there are any pairwise ties). Defeat-dropping Condorcet methods that pass [[Independence of Smith-dominated Alternatives]] are equivalent to [[Smith//Minimax]] with a [[Smith set]] of 3 or fewer candidates (except possibly if there are pairwise ties).

Revision as of 08:41, 20 March 2020

The overarching goal of defeat-droppers is to elect a candidate who is "closest" to being a Condorcet winner i.e. to minimize the number of "overruled" voters.

These are Condorcet methods which reduce to Minimax in situations when there are 3 or fewer candidates (except possibly if there are any pairwise ties). Defeat-dropping Condorcet methods that pass Independence of Smith-dominated Alternatives are equivalent to Smith//Minimax with a Smith set of 3 or fewer candidates (except possibly if there are pairwise ties).