[Election-Methods] Smith--When is extreme rating suboptimal?
Abd ul-Rahman Lomax
abd at lomaxdesign.com
Thu Jul 26 13:07:30 PDT 2007
At 06:11 AM 7/26/2007, Michael Ossipoff wrote:
>I forgot to include this in "Smith exposes our false statements":
>Smith said that sometimes extreme rating is suboptimal in RV. So, Smith,
>when is that so?
First of all, the original statement was general, and so Smith simply
gave a simple counterexample from a small election, a common practice
on this list. Ossipoff does it himself. But now he specifies his
statement more narrowly, and Smith's example, therefore, no longer
applies -- if I remembered it correctly.
>We're talking about public elections, where there are so many voters that
>your own votes won't change the probabilities enough to change your
I've given a case, fully specified. How many times to I have to
repeat it. Many voters. Zero knowledge, which means that all the
probabilities are exactly equal. Three candidates, Range 2, our voter
has utilities of 2,1,0.
Optimal voting strategy: Sincere. Expected utility of Sincere: 40/27,
of Approval, 39/27. Not voting: 1.0.
>Smith should probably check the consensus before shooting his mouth off. Or
>at least refer to quotes that have been posted.
With a counterexample, we do not worry about consensus, do we? The
emperor has no clothes.
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