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Condorcet Paradox




:Voter 1: A B C
:Voter 2: B C A
:Voter 3: C A B

If C is chosen as the winner, it can be argued that B should win instead, since two voters (1 and 2) prefer B to C and only one voter (3) prefers C to B. However, by the same argument A is preferred to B, and C is preferred to A, by a margin of two to one on each occasion.

When a Condorcet Method is used to determine an election, a voting paradox among the ballots can mean that the election has no Condorcet Winner . The several variants of the Condorcet method differ chiefly on how they Resolve Such Ambiguities when they arise to determine a winner.
Note that there is no fair and deterministic resolution to this trivial example because each candidate is in an exactly symmetrical situation.


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