Dear James Green-Armytage, > > > Am I correct in thinking that minimax chooses E in this > > > example, ranked pairs chooses D, and river chooses F? > > > > > Oops. Minimax chooses D, not E... is that right? > > > > MinMax chooses A. > > Yes, indeed it does. I'm quite embarrassed. Did I get the > others right, at least?
Yes, you got the others right. By the way: "Sequential dropping" (SD) also violates independence of clones. Example: Suppose the defeats are (sorted according to their strengths in a decreasing order): B > C D > B A > B A > C C > D D > A SD chooses A. (MinMax chooses A. Tideman chooses D. Schulze chooses A.) Suppose A is replaced by (A1,A2,A3). Suppose the defeats are (sorted according to their strengths in a decreasing order): A1 > A2 A2 > A3 A3 > A1 B > C D > B A1 > B, A2 > B, A3 > B A1 > C, A2 > C, A3 > C C > D D > A1, D > A2, D > A3 Now, SD chooses D. (MinMax chooses D. Tideman chooses D. Schulze chooses A1.) Markus Schulze ---- Election-methods mailing list - see http://electorama.com/em for list info
