Here is an unusual case from a real poll run recently by a group using CIVS. Usually there is a Condorcet winner, but not this time. Who should win?

Ranked pairs says #1, and ranks the six choices as shown. It only has to reverse one preference. Schulze says #2, because it beats #6 by 15-11, and #6 beats #1 by 14-13. So #2 has a 14-13 beatpath vs. #1. Hill's method ("Condorcet-IRV") picks #6 as the winner.

-- Andrew

                1.      2.      3.      4.      5.      6.
1.
                -       13      15      17      16      13
2.
                9       -       13      14      17      15
3.              11      11      -       13      15      14
4.
                9       10      10      -       14      13
5.
                11      10      9       10      -       13
6.
                14      11      11      13      10      -

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