Asymptotic behavior of Bayesian learners with misspecified models

Ignacio Esponda, Demian Pouzo and Yuichi Yamamoto

Journal of Economic Theory, 2021, vol. 195, issue C

Abstract: We consider an agent who represents uncertainty about the environment via a possibly misspecified model. Each period, the agent takes an action, observes a consequence, and uses Bayes' rule to update her belief about the environment. This framework has become increasingly popular in economics to study behavior driven by incorrect or biased beliefs. By first showing that the key element to predict the agent's behavior is the frequency of her past actions, we are able to characterize asymptotic behavior in general settings in terms of the solutions of a differential inclusion that describes the evolution of the frequency of actions. We then present a series of implications that can be readily applied to economic applications, thus providing off-the-shelf tools that can be used to characterize behavior under misspecified learning.

Keywords: Bayesian learning; Misspecified models; Asymptotic behavior; Differential inclusion; Berk-Nash equilibrium (search for similar items in EconPapers)
JEL-codes: C61 D83 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (21)

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Related works:
Working Paper: Asymptotic Behavior of Bayesian Learners with Misspecified Models (2019)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:195:y:2021:i:c:s0022053121000776

DOI: 10.1016/j.jet.2021.105260

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