[EM] How to fix the flawed "Nash equilibrium" concept for voting-theory purposes
Michael Allan
mike at zelea.com
Tue Apr 13 02:11:03 PDT 2010
Warren Smith wrote:
> Well, that is a "Nash equilibrium" because no single voter can
> change the election result! ... Nash says almost nothing about
> voting. It is worthless. ... But now here is a very simple and
> highly effective fix ... Have each voter cast, not "one vote" but
> rather each voter casts "a standard gaussian random variable" number
> of votes of each possible type ...
Or could we use a method based on recursive delegation? Then at least
one voter could always alter the result by shifting his vote - namely
the winner. The winner would be Ghandi, of course, and being Ghandi,
he would shift his vote to someone else. ;-)
(I agree with Abd. Nash equilibria may be less meaningful in
situations where people can speak with each other, reach
understandings and coordinate their actions. Voting methods might
better take *that* capability as their touchstone.)
--
Michael Allan
Toronto, +1 647-436-4521
http://zelea.com/
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