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jimrandomh comments on Example decision theory problem: "Agent simulates predictor" - Less Wrong
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This problem is underspecified, in that it does not say what happens if the predictor fails to find a proof either way. Which is exactly what will happen if the agent simulates the predictor.
Do you understand the second part of the post where I gave concrete implementations of the predictor and the agent that simulates it? In that case the predictor successfully finds a proof that the agent two-boxes.