It seems to me that ER-Bucklin(whole) does not satisfy FBC since Bucklin does not.
Example: 3 candidates, 10 voters Preferences: 2:A>B>C 1:A>C>B 3:C>A>B 4:B>C>A 1st round scores are 3:4:3 for A,B,C: No majority. 2nd round scores are 6:6:8. C has the largest majority and so wins. What is a poor A>B>C voter to do? Well, he can elect B by burying his favorite, casting his vote as B>A>C. Preferences Cast: 1:A>B>C 1:A>C>B 3:C>A>B 4:B>C>A 1:B>A>C 1st round scores are 2:5:3 and B has a majority and wins. Does this provide a counterexample to FBC or have I misunderstood FBC? I suspect any multiple step method to be susceptible to this sort of behavior: make the first round close for the voter's second choice, make the second round choose the voter's third choice. (Of course, for elimination methods, e.g. runoffs or Toombs, the thing to do is to change who gets eliminated in round one.) If 50% does not constitute majority vote victory but 50%+1 does, this example can be modified to give a similar example. I don't know how AERLO might affect this, nor do I have a good enough understanding of Ossipoff's suggestion re modified Bucklin (something to do with fraction of the extra vote needed to get a majority) to see how that might affect this. Jim Faran On Thu, 2005-06-30 at 21:29, James Green-Armytage wrote: > Kevin, you wrote: > >This seems like a new interpretation. I believe both this interpretation > >and > >ERB(fractional) satisfy monotonicity, since in neither method can raising > >a candidate cause any other candidate to get their votes earlier. > > Does my interpretation of ER-Bucklin(whole) satisfy FBC? (And, in my > terminology, ZCRIC?) My guess is that it does. Here's a reference for the > my ER-Bucklin(whole)definition: > http://wiki.electorama.com/wiki/ER-Bucklin > > James > > ---- > Election-methods mailing list - see http://electorama.com/em for list info ---- Election-methods mailing list - see http://electorama.com/em for list info