Suppose this scenario:

46: A >> B > C
5: B >> A > C
5:  B >> C > A
44: C >> B > A

B beats A and C, but he is approved for only 10% of the voters.

A possible patch is to avoid rank-only ballots and ignore candidates with
less than 1/2 approval (or total score, if range ballots are used) of the
most approved candidate. This simple rule also solves DH3 pathology.
________________________________
Diego Santos
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