Would you accept "will get you better results, all else being equal" instead? I don't have a very clear sense of what we'd be averaging.
I meant averaging over the possible ways that the environment could change following your exploitation. For example, it's possible that a particular course of exploitation action could shape the environment such that your exploitation strategy actually becomes more valuable upon each iteration. In such a scenario, exploring more after exploiting would be an especially bad decision. So I don't think I can accept "will" without "on average" unless "all else" excludes all of these types of scenarios in which exploring is harmful.
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