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OrphanWilde comments on The Winding Path - Less Wrong
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I have not heard of Thompson Sampling, or explore-exploit optimization. That it's a named phenomenon independent of what I considered to be rationality itself may be an issue; that's more or less explicitly my own strategy and regard for rationality, which means it may not be as generalizable as I anticipated, as I'm almost certainly engaging in typical mind fallacy without realizing it there.
The explore-exploit tradeoff is a fundamental thing in learning in complex environments (in AI this is studied in reinforcement learning). The way this often comes up for people is when ordering food (new restaurant / old favorite, favorite order / new order).
explore-exploit is no human strategy but a mathematical modelling of a specific optimization. Just in case that hasn't been clear. It is just that the specific type of rationality you described could be seen as analogous to that.