[EM] Saari's Basic Argument
barnes99 at vaxa.cis.uwosh.edu
Tue Jan 14 17:15:50 PST 2003
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:
[source: "EXPLAINING ALL THREE-ALTERNATIVE VOTING OUTCOMES,"
DONALD G. SAARI, section 8.1 - see
--- In election-methods-list at yahoogroups.com, "Alex Small" <asmall at p...>
> 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.
Richard M. Hare, 1919 - 2002, In Memoriam: <http://www.petersingerlinks.com/hare.htm>.
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