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MagnetoHydroDynamics comments on Decision Theories: A Less Wrong Primer - Less Wrong
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I don't understand the need for this "advanced" decision theory. The situations you mention -- Omega and the boxes, PD with a mental clone -- are highly artificial; no human being has ever encountered such a situation. So what relevance do these "advanced" decision theories have to decisions of real people in the real world?
Game/decision theory is a mathematical discipline. It doesn't get much more artifical than that. The fact that it is somewhat applicable to reality is an interesting side effect.