Kemeny–Young method: Difference between revisions

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The distance score for this ranking is 32+32+42+17+42+42=207.
The distance score for this ranking is 32+32+42+17+42+42=207.


It can be shown that this ranking is the one with the lowest distance score. Therefore, the winning ranking is Nashville>Chattanooga>Knoxville>Memphis, and so the winning candidate is Nashville.
It can be shown that this ranking is the one with the lowest distance score (this is because this is the [[Condorcet ranking]], and therefore switching any pair of candidates would require overturning the majority of voters in that pairing rather than the minority). Therefore, the winning ranking is Nashville>Chattanooga>Knoxville>Memphis, and so the winning candidate is Nashville.


== Notes ==
== Notes ==