There are several ideas that can be used to make variations on MMPO. 1. One is to use a bottom Tier Pairwise rule that counts bottom level candidates on a ballot as being opposed by all other bottom level candidates (analogous to the TTP rule in other methods). Note that this rule doesn't get in the way of the FBC.
2. Use Cardinal Ratings Pairwise opposition. The opposition on a ballot is proportional to how much higher the opposing candidate is rated on the ballot. 3. Instead of Minimizing Max Pairwise Opposition, which is a measure of defensive strength, use a measure of offensive strength: maximize the minimum points scored against the other candidates. To satisfy the FBC use the Top Tier Pairwise rule that gives full points for equal top ratings on a ballot. If X and Y are rated equal top on a ballot then this ballot counts as an offensive point of X against Y, as well as an offensive point of Y against X. 4. Some combination of the defensive and offensive scores in 3. Find the difference or ratio, for example, of the MaxMinPairwisePointsAgainst and the MinMaxPairwiseOpposition. The candidate with the highest ratio or difference is elected. . ---- Election-Methods mailing list - see http://electorama.com/em for list info
