>However, I see the following problem: When someone promotes a >Condorcet method that violates monotonicity, then he cannot use >IRV's violation of this criterion as an argument against IRV.
Yes, that is true, but I rarely if ever use monotonicity failure as an argument against IRV. I feel that there are many pro-Condorcet/anti-IRV arguments that are substantially more convincing. Of course, all else being equal, I prefer that a method be monotonic. > >In situation 2 of my 12 July 2000 mail, beatpath chooses candidate F >while sequential dropping chooses candidate D. You can fill the >remaining pairwise defeats with arbitrarily chosen numbers. Then >this example could look e.g. as follows: Thank you Markus. What a complex and interesting example! Am I correct in thinking that minimax chooses E in this example, ranked pairs chooses D, and river chooses F? my best, James >AB 21 >BC 17 >CD 15 >DE 13 >EF 18 >FG 19 >GA 14 >DB 16 >GE 20 >AC 1 >AD 2 >AE 3 >AF 4 >BE 5 >BF 6 >BG 7 >CE 8 >CF 9 >CG 10 >DF 11 >DG 12 ---- Election-methods mailing list - see http://electorama.com/em for list info