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Vladimir_Golovin comments on Too busy to think about life - Less Wrong
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In AI, this is known as the exploration/exploitation problem. You could try Googling "Multi-armed bandit" for an extremely theoretical view.
My biggest recommendation is to do a breadth-first search, using fermi calculations for value-of-information. If people would be interested, I could maybe write a guide on how to do this more concretely?