[EM] Anyone got a good analysis on limitations of approval andrange voting?
Andrew Myers
andru at cs.cornell.edu
Mon Nov 16 14:37:57 PST 2009
Jonathan Lundell wrote:
> I don't have his proof in front of me (I'm on the road), but I'm pretty sure that it assumes ordinal ranking.
>
It seems fairly obvious that the theorem also holds for ratings, because
ratings can be projected onto rankings without affecting any of Arrow's
criteria. To put it another way, the proofs I have seen all apply to
range-based methods in a straightforward way--there needs to be some
fiddling with the proof to deal with ties, but that issue is not essential.
Letting voters give ratings doesn't mean you escape Arrow's Theorem.
-- Andrew
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