Robustness and ambiguity in continuous time |
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Authors: | Lars Peter Hansen Thomas J Sargent |
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Institution: | a University of Chicago, United States b NBER, United States c New York University, United States d Hoover Institution, United States |
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Abstract: | We use statistical detection theory in a continuous-time environment to provide a new perspective on calibrating a concern about robustness or an aversion to ambiguity. A decision maker repeatedly confronts uncertainty about state transition dynamics and a prior distribution over unobserved states or parameters. Two continuous-time formulations are counterparts of two discrete-time recursive specifications of Hansen and Sargent (2007) 16]. One formulation shares features of the smooth ambiguity model of Klibanoff et al. (2005) and (2009) 24] and 25]. Here our statistical detection calculations guide how to adjust contributions to entropy coming from hidden states as we take a continuous-time limit. |
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Keywords: | C61 D81 D83 |
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