I've noticed that, as Markus said, the fact that a candidate doesn't have a defeat that isn't in a cycle of defeats at least as strong as it is doesn't mean that that candidate is a winner of BeatpathWinner.
As for the meaning of BC, it was a long time ago that I was using BC to demonstrate, on EM, and to website questioners, some methods' compliance with other criteria. More recently, I've believed that BC says to not elect a candidate who has a majority defeat that isn't in a cycle of majorilty defeats. Markus says that BC instead says to not elect a candidate who has a defeat that isn't in a cycle of defeats at least as strong as it is. I'd have to check to find out which it is. Believing that the former was BC, I defined the latter recently, as an improvement.
In a recent posting I defined preference versions of both of those criteria, better because they're universally applicable. Obviously, those 2 criteria and their preference versions, and majority rule and majority wishes, as I define them, and SFC and GSFC are all related.
Mike Ossipoff
_________________________________________________________________
On the road to retirement? Check out MSN Life Events for advice on how to get there! http://lifeevents.msn.com/category.aspx?cid=Retirement
---- Election-methods mailing list - see http://electorama.com/em for list info
