Condorcet method: Difference between revisions
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==Connection to cardinal methods ==
See also [[Score voting#Connection to Condorcet methods]] and [[rated pairwise preference ballot]]. Essentially, some [[Rated method|rated methods]] can be considered
Score Voting can be thought of as a Condorcet method where a voter is allowed to give a fraction of a vote to a candidate in a pairwise matchup against other candidates, rather than a full vote or nothing. Further, the amount of a vote the voter gives in one runoff directly alters the amount they give in another; if they arrange their scores such that they give 0.4 of a vote to help one candidate beat another, this automatically means they can at best arrange their scores such that they give up to 0.6 of their vote to help the second candidate beat someone else. Assuming a voter would vote the exact same way in a Score Voting runoff between all possible pairs of candidates as they did in the original Score election, Score elects the Condorcet winner using this modified definition.<ref>{{Cite web|url=https://rangevoting.org/CondDQ.html|title="Condorcet" definition quibble|last=|first=|date=|website=RangeVoting.org|url-status=live|archive-url=|archive-date=|access-date=2020-04-06}}</ref>
Note that the above schemes can make Score fail the logical property that a voter's strength of preference between any pair of candidates must equal the sum of the strengths of preference between all sequential pairs of candidates in a
▲Note that the above schemes can make Score fail the logical property that a voter's strength of preference between any pair of candidates must equal the sum of the strengths of preference between all sequential pairs of candidates in a beatpath from the first candidate of the pair to the second. The failure of this property seems to be the major reason traditional Condorcet methods can have Condorcet cycles and one major reason for why they fail certain properties such as Favorite Betrayal and Independence of Irrelevant Alternatives.
==Demonstrating pairwise counting==
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