FpA-fpC: Difference between revisions

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'''fpA-fpC''' (for '''first preference A minus first preference C''') is a three-candidate Condorcet method based on first preference Copeland. Its election cases are:
'''fpA-fpC''' (for '''first preference A minus first preference C''') is a three-candidate Condorcet method based on [[first preference Copeland]]. Its election cases are:


* If there's a Condorcet winner, then that candidate wins.
* If there's a Condorcet winner, then that candidate wins.
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[[Category:Condorcet methods]]
[[Category:Ranked voting methods]]

Revision as of 09:03, 31 August 2020

fpA-fpC (for first preference A minus first preference C) is a three-candidate Condorcet method based on first preference Copeland. Its election cases are:

  • If there's a Condorcet winner, then that candidate wins.
  • If the Smith set is size two, then the winner is according to majority rule.
  • If the Smith set is size three, then for each candidate, assume without loss of generality that the candidate is A in an A>B>C>A cycle. A's score is A's first preferences minus C's first preferences. The candidate with the highest score wins.

This method shares the strategy resistance of Smith-IRV hybrids (such as dominant mutual third burial resistance); yet, unlike them, is monotone. It is open (not obvious) how to extend the method to more than three candidates in a way that retains both monotonicity and strategy resistance.

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