RichardHughes comments on Problem of Optimal False Information - Less Wrong
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The parallels with Newcomb's Paradox are obvious, and the moral is the same. If you aren't prepared to sacrifice a convenient axiom for greater utility, you're not really rational. In the case of Newcomb's Paradox, that axiom is Dominance. In this case, that axiom is True Knowledge Is Better Than False Knowledge.
In this instance, go for falsehood.