> Looking much like Condorcet. From there we know that cycles > can occur, > needing more thought here.
Only in the case of ties with respect to the pluralities that chose the rankings involved. I think with more thoughht we'll find that the tiebreaking method here corresponds to a cycle-breaking method in Condorcet-based systems. > > > > > If the most popular order is not complete, then refine it > using the order that is second in popularity, then third in > popularity, etc. > > > > Note that Eppley's suggestion (in its simplest forms) > requires only a standard plurality style ballot, and each > voter marks only one alternative (a candidate's name or a > code word for somebody else's published ordering). > > > Starts out looking good but, how many lists might there be > with half a > dozen candidates? > What would this quantity do to the voting machine? > How much might this confuse the voter looking for an > acceptable list? I think (as I've said before) it is helpful to keep the tallying mechanism separate from the collecting mechanism. This is not terribly difficult to implement on the collection side, given the pre-loaded published list and the voter's opportunity to select one and modify it (in the ideal world that modification would instantly become a part of the published list, but finding out that many voters made the same modification to the same published one is trivial on the back-end tallying side. > Sounds like as much trouble as Condorcet and in counting complexity, > though doable with present voting machines - provided they > can tolerable > the number of choices. I have always thought of a ranked ballot method as being a "choose from among these available orderings" sort of thing. Althoug the combinatorics get out of hand very quickly if you assume each ordering is equally likely, in practice there's a second-order divide on issues that keeps A>C>B from even being considered by A&B partisans OR by C partisans so that permutation never appears on either the pre-published lists or "write in" modified lists. ---- election-methods mailing list - see http://electorama.com/em for list info
