On Thu, 16 Jan 2003, Alex Small wrote:
> > Anyway, after exploring what happens when we require election methods to > respect symmetry, I'm forced to conclude that symmetry isn't a very useful > criterion. > When stabbing around in the dark you can use symmetry as a guide for where to start looking. Some symmetries are more valuable than others, and all else being equal, I'll take a method that respects symmetry over one that does not. But "all else being equal" is a big proviso. By the way, it looks like that if we allow adding and subtracting of "symmetry" in the 3 candidate fully ranked case, we can always get down to a residue of two adjacent factions (i.e. a single adjacent swap converts one into the other) Could we consider this a canonical reduction of some type? Forest ---- For more information about this list (subscribe, unsubscribe, FAQ, etc), please see http://www.eskimo.com/~robla/em
