Alex: You may be thinking of Condorcet's example, the profile which Condorcet used to decredit the Borda Count by pointing out that the BC-winner was not the Condorcet-winner in that case. Saari argues that "rather than supporting the Condorcet winner, these examples expose a flaw," and shows that cancelling out the cyclic portion of Condorcet's example makes the Condorcet-winner the same as the original BC-winner. Condorcet's profile is:
30:ABC 1:ACB 10:CAB 1:CBA 10:BCA 29BAC [source: "EXPLAINING ALL THREE-ALTERNATIVE VOTING OUTCOMES," DONALD G. SAARI, section 8.1 - see <http://citeseer.nj.nec.com/cache/papers/cs/11095/http:zSzzSzwww.math.nwu.eduz Sz~d_saarizSzvotezSztriple.pdf/saari99explaining.pdf>] --- In [EMAIL PROTECTED], "Alex Small" <[EMAIL PROTECTED]> wrote: [...] > I'd have to think a bit before concluding that cancelling out the > rotationally symmetric parts of the electorate would give the same result > as Condorcet in the presence of a CW. I seem to recall Saari giving an > example to the contrary. Anyway, thanks, Forest, for pointing out that a > devotion to symmetry need not force one to support Borda a priori. > > > > Alex Steve Barney Richard M. Hare, 1919 - 2002, In Memoriam: <http://www.petersingerlinks.com/hare.htm>. Did you know there is an web site where, if you click on a button, the advertisers there will donate 2 1/2 cups of food to feed hungry people in places where there is a lot of starvation? See: <http://www.thehungersite.com>. ---- For more information about this list (subscribe, unsubscribe, FAQ, etc), please see http://www.eskimo.com/~robla/em