Condorcet with dual dropping

Condorcet with dual dropping is a Condorcet method that determines the social order (ranking of candidates) by Schulze and Ranked pairs, and returns the social order with the smallest Kemeny distance.

It passes the Smith criterion.

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Example

This example is due to Adam Tarr:

7: A > D > C > B
5: C > B > D > A
3: B > D > C > A
3: A > B > D > C
3: B > A > C > D
1: D > C > B > A

The Ranked Pairs outcome is B>A>D>C while the Schulze outcome is A>B>D>C. Of these, the Ranked Pairs order overturns one more voter than the Schulze order, so A is the winner.