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Kindly comments on Thoughts and problems with Eliezer's measure of optimization power - Less Wrong
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Presumably. It's debatable whether or not this captures risk aversion, but in my opinion it does (and risk aversion falls out of nonlinear utility).
But one thing to keep in mind is that if there is an output Y1 that leads to a final state X1, and an output Y2 that leads to a final state X2, then there is not necessarily an output leading to 0.5X1+0.5X2.