Hallo, well, lemma 3.17 says that every winner of the Schulze method is also a winner of the Split Cycle method. So the authors sacrifice decisiveness to get compliance with other criteria. This is problematic because, should the Split Cycle method be considered for adoption somewhere, the authors would have to say how situations with more than one winner of the Split Cycle method have to be resolved. And when they do so, they immediately lose compliance with these other criteria. Markus Schulze