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ANTICIPATED UTILITY AND RATIONAL EXPECTATIONS AS APPROXIMATIONS OF BAYESIAN DECISION MAKING

机译:预期的效用和理性期望作为贝叶斯决策的近似

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摘要

We study a Markov decision problem with unknown transition probabilities. We compute the exact Bayesian decision rule and compare it with two approximations. The first is an infinite-history, rational-expectations approximation that assumes that the decision maker knows the transition probabilities. The second is a version of Kreps' anticipated-utility model in which decision makers update using Bayes' law but optimize in a way that is myopic with respect to their updating of probabilities. For several consumption-smoothing examples, the anticipated-utility approximation outperforms the rational expectations approximation. The rational expectations approximation misrepresents the market price of risk. Copyright 2008 by the Economics Department Of The University Of Pennsylvania And Osaka University Institute Of Social And Economic Research Association.
机译:我们研究了转移概率未知的马尔可夫决策问题。我们计算精确的贝叶斯决策规则,并将其与两个近似值进行比较。第一个是无限历史,有理期望近似,它假定决策者知道转换概率。第二个是Kreps的预期效用模型的一个版本,决策者使用贝叶斯定律进行更新,但以对概率更新近视的方式进行优化。对于几个平滑消费的示例,预期效用近似值优于理性预期近似值。理性预期近似错误地代表了风险的市场价格。宾夕法尼亚大学和大阪大学社会经济研究所联合会版权所有2008。

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