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Wei_Dai comments on Towards a New Decision Theory - Less Wrong
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I think an AI running CDT would immediately replace itself by an AI running XDT (or something equivalent to it). If there is no way to distinguish between an AI running XDT and an AI running TDT (prior to a one-shot PD), the XDT AI can't do worse than an TDT AI. So CDT is not losing, as far as I can tell (at least for an AI capable of self-modification).
ETA: I mean a XTD AI can't do worse than a TDT AI within the same world. But a world full of XTD will do worse than a world full of TDT.