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Lethalmud comments on The genie knows, but doesn't care - Less Wrong
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Agreed. The reason I link the two abilities is that I'm assuming an AI that acquires either power went FOOM, which makes it much more likely that the two powers will arise at (on a human scale) essentially the same time.
If a FAI would have a utility function like "Maximise X while remaining Friendly", And the UFAI would just have "Maximise X". Then, If the FAI and a UFAI would be initiated simultaneously, I would expect them both to develop exponentially, but the UFAI would have more options available, thus have a steeper learning curve. So I'd expect that in this situation that the UFAI would go FOOM slightly sooner, and be able to disable the FAI.