Dear Raul, here is a simpler example.
8 ABC 7 BCA 5 CAB A:B=13:07 A:C=08:12 B:C=15:05 Suppose, that the quorum is 10 and the default option is A. Then the winner according to Manoj's May 15 proposal is C. If there was a second election and the voters don't change their minds, then the winner (according to Manoj's May 15 proposal) of this second election would be B. If there was a third election and again the voters don't change their minds, then the winner (according to Manoj's May 15 proposal) of this third election would be A. In short: The winner according to Manoj's May 15 proposal can be cyclic even when the voters don't change their minds. This is caused by the fact that _direct defeats_ can be cyclic. On the other side, _beat path defeats_ cannot be cyclic. Therefore, the winner according to my proposal cannot be cyclic when the voters don't change their minds. Markus Schulze
