Stuart_Armstrong comments on The mathematics of reduced impact: help needed - Less Wrong
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If we're just dealing with an Oracle, we can pipe the actual answer through some version of utility indifference (slightly more subtle, as the measure of reduced impact doesn't look much like a utility function).
For a general agent, though, then I think "can this work if we magically assume there are no major social consequences" is a fair question to ask, and a "yes" would be of great interest. After that, we can drop the assumption and see if that's solveable.