Active learning with a misspecified prior

We study learning and information acquisition by a Bayesian agent whose prior belief is misspecified in the sense that it assigns probability 0 to the true state of the world. At each instant, the agent takes an action and observes the corresponding payoff, which is the sum of a fixed but unknown fu...

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Bibliographic Details
Main Authors: Fudenberg, Drew (Contributor), Romanyuk, Gleb (Author), Strack, Philipp (Author)
Other Authors: Massachusetts Institute of Technology. Department of Economics (Contributor)
Format: Article
Language:English
Published: The Econometric Society, 2018-03-02T21:32:13Z.
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Online Access:Get fulltext
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100 1 0 |a Fudenberg, Drew  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Economics  |e contributor 
100 1 0 |a Fudenberg, Drew  |e contributor 
700 1 0 |a Romanyuk, Gleb  |e author 
700 1 0 |a Strack, Philipp  |e author 
245 0 0 |a Active learning with a misspecified prior 
260 |b The Econometric Society,   |c 2018-03-02T21:32:13Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/113916 
520 |a We study learning and information acquisition by a Bayesian agent whose prior belief is misspecified in the sense that it assigns probability 0 to the true state of the world. At each instant, the agent takes an action and observes the corresponding payoff, which is the sum of a fixed but unknown function of the action and an additive error term. We provide a complete characterization of asymptotic actions and beliefs when the agent's subjective state space is a doubleton. A simple example with three actions shows that in a misspecified environment a myopic agent's beliefs converge while a sufficiently patient agent's beliefs do not. This illustrates a novel interaction between misspecification and the agent's subjective discount rate. 
520 |a National Science Foundation (U.S.) (Grant 1643517) 
655 7 |a Article 
773 |t Theoretical Economics