Peter_de_Blanc comments on Arrow's Theorem is a Lie - Less Wrong

27 Post author: alyssavance 24 October 2009 08:46PM

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Comment author: Peter_de_Blanc 24 October 2009 10:32:25PM 7 points [-]

taw is correct for most realistic situations. If there is a large voting population, and your probability distribution over vote outcomes is pretty smooth, then the marginal expected utility of each +1 vote shouldn't change that much as a result of your miniscule contribution. In that case, if you vote anything other than 0, you may as well vote 10.

Comment author: orthonormal 18 July 2011 08:01:33PM 1 point [-]

Doesn't this assume that you're a causal decision theorist?

Comment author: wedrifid 18 July 2011 08:21:46PM *  1 point [-]

Doesn't this assume that you're a causal decision theorist?

No. (That is, to make taw incorrect you have to assume much more than that you are not a CDT agent. For example, making assumptions about what the other agents are, what they want and what they know about you.)

Comment author: orthonormal 18 July 2011 08:28:10PM 1 point [-]

It seems to me that the same sort of decision-theoretic considerations that motivate me to vote at all in a large election would make it valid for me to vote my actual (relative) preference weighting in that election.

Comment author: alyssavance 24 October 2009 10:36:04PM *  0 points [-]

That's true, in the limit as the number of voters goes to infinity, if you only care about which preference is ranked the highest. However, there are numerous circumstances where this isn't the case.

Comment author: Technologos 25 October 2009 12:20:08AM 0 points [-]

Specifically, it isn't the case if you believe that the disparity between potential winners is smaller than the maximum vote number minus the minimum and that other people do not believe the same and adjust their votes accordingly.