[EM] Saari's Basic Argument
fsimmons at pcc.edu
Fri Jan 17 10:58:13 PST 2003
On Thu, 16 Jan 2003, Steve Barney wrote:
> In your example,
> >66 A>B>C
> >34 B>C>A
> If you give second preferences any more than 16/33 of the weight which you
> give to the first prefs, the winner is B; since:
No need of giving weights to see all the mischief that could come from
giving the win to B.
Assuming the rankings are sincere, we see that A has clear majority
If Borda is used to decide the election, 66 percent of the voters will
regret having ranked B and C sincerely.
That majority could defend themselves by running a clone D of their own:
It wouldn't matter if the BC faction voted A over D, or D over A, Borda
would give the win to A.
So Borda encourages a "race to the bottom" in cloning.
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