Voters number candidates in order of preference, and also mark candidates as Approved and up to
number of candidates minus 2 as Disapproved (or Unacceptable).
1. A candidate who is ranked number 1 on more than half the ballots wins.
2. If no result, if there is one and only one candidate who marked as Approved by the majority, then that candidate wins. If the set of candidates Approved by the majority has more than one member, then all non-members are eliminated and their preferences are transferred. If a candidate now has a majority then that candidate wins. If not, then the numbered rankings are abandoned, and the winner is the candidate with the highest Approvals minus Disapprovals tally.
3. If there were no candidates who were Approved by the majority, then eliminate all candidates marked as Disapproved by the majority and transfer their preferences and proceed as before.
If a candidate has a majority they win. If no result, then abandon the numbered rankings and elect the candidate with the highest Approvals minus Disapprovals score.
A vote with as little as just the number 1 or a single Approval or Disapproval will be valid. The restriction on the number of Disapprovals is mainly to make it impossible for all the candidates to be Disapproved by the majority.
I think that there should be few strategy problems. I am interested in any comments, but I don't promise to (immediately) understand them.
Chris Benham
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