suppose that there are 4 candidates and that all pairwise defeats A > B, B > C, C > D, D > A, B > D, and C > A have the same strength. Then all 4 candidates are potential winners.
However, suppose that some voters rank candidate A higher so that the pairwise defeats A > B, B > C, C > D, D > A, and B > D still have the same strength and C > A is weaker than the other pairwise defeats. Then you would reject A > B, B > C, C > D, D > A, and B > D and keep C > A so that ranking candidate A higher hurts him.
Include that everyone has voted sincerely, and I don't see the problem.
With such a clearly divided electorate, where any of the candidates could win, this 'problem' seems illusory at best.
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