On Tue, 19 Feb 2002, Steve Barney wrote: > Forest: > > What do you think of circular triplets, such as: > > A>B>C > B>C>A > C>A>B, > > and reversals, such as: > > A>B>C > C>B>A. > > If that is all the information that we have to go on (when ordinal preference > ballots are used, it is ), shouldn't either of these profiles cancel out > completely and yield a tie? The Borda Count is the only method which always > does that, according to Saari's analysis. From that simple fact, argues Saari, > come voting paradoxes such as non-monotonicity, etc.
The two examples that you give yield ties in every serious method of which I am aware. Forest