This version revises the triggering rule for ranks mentioning more than one candidate.
I propose the following form of balanced elimination voting for single-winner elections, unless the political forces favoring the elimination of single-winner elections prevail.
The voters list on their ballots so many ranks as they choose.
Each rank lists one or more candidates and indicates support for or opposition to those candidates listed. It must be support for all or opposition to all, within the rank.
The order of the ranks on the ballot signifies.
Tallying proceeds in rounds, where each round eliminates a candidate from further consideration. The last candidate standing wins the election.
Each round begins by zeroing a counter for each candidate still in the running. The round then examines the ballots. For each ballot, the round must determine the earliest rank such that any candidate named in that rank, and at least one candidate not named in that rank, is still in the running. If this rank declares support for one or more candidates, each of those identified candidates receives a point and a point is deducted from each of the counters of the other candidates. If the rank declares opposition to one or more candidates, a point is deducted from each indicated candidate’s counter and one is added to the counter of each of the other candidates still in the running. Once the so found rank is interpreted in this way, the processing of the ballot is complete for the current round, and the round proceeds onward to the next ballot, if any. Once all the ballots are processed in this way, the round eliminates the candidate having the lowest total on her counter, and that completes the round.
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