wedrifid comments on You're in Newcomb's Box - Less Wrong
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It is not money we care about, it is utility. In both cases the predictor is long gone.
When Prometheus is preparing his choice he doesn't know whether you will one box - once he does know he is more or less done deciding and just the implementation is left. Now he believes that you will one box - but he is long gone.
In both cases there is always going to be the $1,000 in the little box. In both cases you are always going to take the big box.