I think that Andy's question about who the PR winners should be in the three winner (approval) scenario
20 AC 20 AD 20 AE 20 BC 20 BD 20 BE needs more consideration. As was pointed out {C, D. E} seems the best, even though PAV would say the slates {A,B,C}, {A,B,D}, and {A,B,E} are tied for best. For those that lean towards {C, D, E}, would you go so far as to say it is the best solution for the scenario 40 ABC 40 ABD 40 ABE ? If not, then how do we decide? If so, then how about 40 C>A1>A2>A3(at 90%)>>>(all others) 40 D>A2>A3>A1(at 90%)>>>(all others) 40 E>A3>A1>A2(at 90%)>>>(all others) Should {A1, A2, A3} win? or should we continue with {C, D, E} ? If I understand it, STV would elect {C, D, E}, while RRV (sequential or not) would elect {A1, A2, A3}. How would Warren's three district connection solve this problem? I'm not saying that these scenarios are likely, but I think we need a clearer idea of what we want in these extreme cases when we are designing and evaluating practical methods. "The exceptional cases test the rule," which is the original meaning of the aphorism, "The exception proves the rule." ---- Election-Methods mailing list - see http://electorama.com/em for list info