On 27 May 2005 at 00:02 UTC-0700, Russ Paielli wrote: > I have been amusing myself trying to think of a way to combine MMPO > with Approval. Here's what I've come up with. > > Start with ranked ballots and Approval cutoffs as usual. Then > arrange the pairwise matrix so the Approval scores are decreasing > (or non-increasing) along the main diagonal, as in DMC. Now select > two candidates as follows for a pairwise "runoff." The first > candidate is the Approval winner. The second candidate is selected > using the following variation of the MMPO procedure. In finding the > candidate with the minimum number of maximum votes against, only > consider the other candidates who are more approved than the > candidate in question. In other words, consider only the > upper-triangular portion of the pairwise matrix. That means the > least-approved candidate has the most (n-1) other candidates over > which to find the maximum votes against (hence his max votes against > are more likely to be higher as a "penalty" for being least > approved). >
I like the idea ;-). Let's call the approval winner AW and your alternate winner Minimum-opposition-from-higher-approved, or MOFHA. How might this fail Later-no-harm? - A voter ranks her favorite X over MOFHA and approves both. - X ends up with less approval than MOFHA. - MOFHA's globally maximum opposition is greater than X's but comes from a candidate Y with even lower approval than X and is thus not counted. So this fails later-no-harm with respect to approval cutoff, in the same way as DMC/RAV. If the voter had not approved MOFHA, X might be approval-ranked above MOFHA and might have been a contender in the runoff. If I'm wrong, somebody please correct me. Q -- araucaria dot araucana at gmail dot com http://www.metafilter.com/user/23101 http://wiki.electorama.com/wiki/User:Araucaria Q = Qoph = "monkey/knot" -- see http://www.ship.edu/~cgboeree/alphabet.html ---- Election-methods mailing list - see http://electorama.com/em for list info
