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Kaj_Sotala comments on Open Thread: March 4 - 10 - Less Wrong
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Intelligence Explosion Microeconomics discusses the kinds of open questions we'd need to answer in order to know whether or not there will be such a band.
Section 2.3. (and its subsections) of Responses to Catastrophic AGI Risk also discusses three different types of FOOM that might be possible: hardware overhang, speed explosion, and an intelligence explosion. Your argument should probably address all three.
Thanks. I'll look over these.
Edit: It looks like section 4, AGI Containment, covers many of my thoughts and comes to a pretty similar conclusion: External constraints on AGI are an imperfect plan, but potentially valuable and complementary to other safety approaches.