Even simpler is this: Method "Top-3 approval sincere runoff" (T3ASR) ==============================================
1. Each voter separately supplies a "nomination" approval ballot and a "runoff" range ballot. 2. From all "nomination" ballots, determine the options A,B,C with the top-3 approval scores a>b>c. 3. Let p be the proportion of nomination ballots which approve of C but not of B. 4. If on at least half of all "runoff" ballots we have a rating r(A) > p*r(C) + (1-p)*r(B), then option A wins. 5. Otherwise draw a "nomination" ballot. If it approves of C but not of B, C wins, otherwise B wins. Most of the time, this will elect one of the top-2 approval options, and only rarely the 3rd placed. One can then also compute and publish some kind of "index of sincerity" by comparing the submitted approval and range ballots. The method is majoritarian, since any majority can rule by bullet voting on both ballots. Yours, Jobst ---- Election-Methods mailing list - see http://electorama.com/em for list info
