Hallo, Steve Eppley wrote (23 Feb 2000): http://lists.electorama.com/htdig.cgi/election-methods-electorama.com/2000-February/003600.html
> I've been using a different criterion, which dispenses with > the "absolute majority" requirement, and so is more general: > > Beatpath Criterion (BC) > ----------------------- > Let Vij denote the number of voters who ranked i ahead of j, > for any pair of alternatives i&j. > > Let Bji denote the strength of the strongest beatpath > from j to i, for any pair of alternatives i&j. > > If Vij > Vji and Vij > Bji then j must not finish ahead of i. > > The "ideal" majoritarian criterion, if it were not sometimes > impossible to satisfy, is: > > If Vij > Vji then j must not finish ahead of i. > > The Beatpath Criterion is possible to satisfy, and is not > as overbroad (what Blake calls "restrictive") as what might be > called the Schulze criterion (if Markus doesn't object to using > his name this way): > > If Bij > Bji then j must not finish ahead of i. Markus Schulze ---- Election-methods mailing list - see http://electorama.com/em for list info