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I meant he might introduce some mechanism that proves to be analytically intractable.
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I have a feeling it's already analytically intractable haha
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The one time I tried to really think it through, I concluded that it almost certainly is (at least without major simplifying behavioral assumptions).
What I'm completely certain of is that the rewards incentives are not salient (in the sense experimentalists use the term), so working out equilibria that don't include the cognitive costs to agents would be pretty pointless (other than as an intellectual curiosity).
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For this particular case, I feel like theory without empirics would be sufficient to count as a contribution.