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Anticipated Utility and Rational Expectations as Approximations of Bayesian Decision Making

Tim W. Cogley and Thomas Sargent

No 68, Working Papers from University of California, Davis, Department of Economics

Abstract: For a Markov decision problem in which unknown transition probabilitiesserve as hidden state variables, we study the quality of two approximations tothe decision rule of a Bayesian who each period updates his subjective distribu-tion over the transition probabilities by Bayes? law. The first is the usual ratio-nal expectations approximation that assumes that the decision maker knows thetransition probabilities. The second approximation is a version of Kreps? (1998)anticipated utility model in which decision makers update using Bayes? law butoptimize in a way that is myopic with respect to their updating of probabili-ties. For a range of consumption smoothing examples, the anticipated utilityapproximation outperforms the rational expectations approximation. The an-ticipated utility and Bayesian models augment market prices of risk relative tothe rational expectations approximation.

Keywords: Rational expectations; Bayes? Law; anticipated utility; market price ofrisk (search for similar items in EconPapers)
JEL-codes: C63 D83 D84 (search for similar items in EconPapers)
Pages: 46
Date: 2005-02-28
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Citations: View citations in EconPapers (5)

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Related works:
Journal Article: ANTICIPATED UTILITY AND RATIONAL EXPECTATIONS AS APPROXIMATIONS OF BAYESIAN DECISION MAKING (2008)
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