Hi, Say I have a pairwise array that looks like
| A | B | C | D | ===+=====+=====+=====+=====+ A | 60 | 45 | 46 | 60 | ---+-----+-----+-----+-----+ B | 55 | 55 | 55 | 49 | ---+-----+-----+-----+-----+ C | 54 | 45 | 54 | 52 | ---+-----+-----+-----+-----+ D | 40 | 51 | 48 | 51 | ---+-----+-----+-----+-----+ For this example, I assume that a tie between candidates is counted as one vote for each candidate, and the diagonal entry is equal to the maximum non-diagonal entry on that row. This is a way to extract Approval from the pairwise array. The exact numbers are not important. What really matters to me is that the candidates in descending order of approval are A, B, C, D, and the pairwise outcomes look like | A | B | C | D | ===+=====+=====+=====+=====+ A | - | L | L | W | ---+-----+-----+-----+-----+ B | W | - | W | L | ---+-----+-----+-----+-----+ C | W | L | - | W | ---+-----+-----+-----+-----+ D | L | W | L | - | ---+-----+-----+-----+-----+ The reason I'm looking for a set of ranked ballots that lead to this outcome is that I believe it might be a counterexample to Forest Simmons' Enhanced DMC proposal. If there is a set of rankings that lead to this array, then B would be the winner under Schulze, Ranked Pairs, River and DMC, but Enhanced DMC would pick either A or C. Ted -- araucaria dot araucana at gmail dot com ---- Election-Methods mailing list - see http://electorama.com/em for list info
