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Vladimir_Nesov comments on Towards a New Decision Theory - Less Wrong
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You're saying that TDT applied directly by both AIs would result in them cooperating; you would rather that they defect even though that gives you less utility; so you're looking for a way to make them lose? Why?
If both AIs use the same decision theory and this is common knowledge, then the only options are (C,C) or (D,D). Pick whichever you prefer. If they use different decision theories, then you can give yours pure TDT and tell it truthfully that you've tricked the other player into unconditionally cooperating. What else is there?
You (and they) can't assume that, as they could be in different states even with the same algorithm that operates on those states, and so will output different decisions, even if from the problem statement it looks like everything significant is the same.