Vladimir_Nesov comments on Omega's subcontracting to Alpha - Less Wrong

7 Post author: Stuart_Armstrong 16 March 2010 06:52PM

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Tags: bayesian decision_theory omega decision

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Comment author: jimrandomh 16 March 2010 07:26:55PM *  0 points [-]

I would translate this scenario into the following world-program:

U(S) =
{
envelopeIsFilled = coinflip()
acceptNote = S()
if (acceptNote == envelopeIsFilled)
CONTRADICTION
else
return (envelopeIsFilled ? 1e6 : 0) + (acceptNote ? 10 : 0)
}

Based on this world-program, it is obvious that you should refuse the note.

Comment author: Vladimir_Nesov 16 March 2010 09:09:05PM 3 points [-]

You didn't take into account that Omega appears conditionally on contents of the envelope and your decision.

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