Elisabeth Varin/Stephane Rouillon said: > Alex, > does any method satisfy strong FBC?
Good question. I know that Condorcet methods don't, and monotonic majoritarian methods don't. Rated methods don't. If I could show that majoritarian methods don't, irrespective of montonicity, I'd be satisfied. We know that IRV is non-monotonic but majoritarian, but it doesn't satisfy strong FBC. Maybe I need different techniques. I started looking at the case where we remove monotonicity. You have to consider the possibility that favorite betrayal gives the same result as a voter changing his preference from A>B>C to A>C>B. Then you have a new electorate. But then you have to look at the new electorate and try to figure out which faction to tinker with. The number of scenarios to consider grows out of control. If I can just find a path out of that, one that takes me in a circle to expose a contradiction, I'll be happy. Any thoughts on extending the current results to 4 or more candidates? Alex ---- For more information about this list (subscribe, unsubscribe, FAQ, etc), please see http://www.eskimo.com/~robla/em
