Limit Points of Endogenous Misspecified Learning

We study how an agent learns from endogenous data when their prior belief is misspecified. We show that only uniform Berk-Nash equilibria can be long‐run outcomes, and that all uniformly strict Berk-Nash equilibria have an arbitrarily high probability of being the long‐run outcome for some initial b...

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Bibliographic Details
Main Authors: Fudenberg, Drew (Author), Lanzani, Giacomo (Author), Strack, Philipp (Author)
Format: Article
Language:English
Published: The Econometric Society, 2022-02-14T18:40:57Z.
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Online Access:Get fulltext
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520 |a We study how an agent learns from endogenous data when their prior belief is misspecified. We show that only uniform Berk-Nash equilibria can be long‐run outcomes, and that all uniformly strict Berk-Nash equilibria have an arbitrarily high probability of being the long‐run outcome for some initial beliefs. When the agent believes the outcome distribution is exogenous, every uniformly strict Berk-Nash equilibrium has positive probability of being the long‐run outcome for any initial belief. We generalize these results to settings where the agent observes a signal before acting. 
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773 |t Econometrica