cousin_it comments on Example decision theory problem: "Agent simulates predictor" - Less Wrong
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Yeah, you can't control arbitrary world programs that way, but remember that our world really is like that: a human mind runs within the same universe that it's trying to control. One idea would be to define a class of "fair" world programs (perhaps those that can be factorized in appropriate ways) and care only about solving those. But I guess I'd better wait for your writeup, because I don't understand what kind of formalism you prefer.