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Error Propagation in the Elicitation of Utility and Probability Weighting Functions


Blavatskyy, Pavlo R (2006). Error Propagation in the Elicitation of Utility and Probability Weighting Functions. Theory and Decision, 60(2-3):315-334.

Abstract

Elicitation methods in decision-making under risk allow us to infer the utilities of outcomes as well as the probability weights from the observed preferences of an individual. An optimally efficient elicitation method is proposed, which takes the inevitable distortion of preferences by random errors into account and minimizes the effect of such errors on the inferred utility and probability weighting functions. Under mild assumptions, the optimally efficient method for eliciting utilities and probability weights is the following three-stage procedure. First, a probability is elicited whose subjective weight is one half. Second, the utility function is elicited through the midpoint chaining certainty equivalent method using the probability elicited at the first stage. Finally, the probability weighting function is elicited through the probability equivalent method.

Elicitation methods in decision-making under risk allow us to infer the utilities of outcomes as well as the probability weights from the observed preferences of an individual. An optimally efficient elicitation method is proposed, which takes the inevitable distortion of preferences by random errors into account and minimizes the effect of such errors on the inferred utility and probability weighting functions. Under mild assumptions, the optimally efficient method for eliciting utilities and probability weights is the following three-stage procedure. First, a probability is elicited whose subjective weight is one half. Second, the utility function is elicited through the midpoint chaining certainty equivalent method using the probability elicited at the first stage. Finally, the probability weighting function is elicited through the probability equivalent method.

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13 citations in Web of Science®
15 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:03 Faculty of Economics > Department of Economics
Dewey Decimal Classification:330 Economics
Language:English
Date:2006
Deposited On:28 Mar 2008 08:16
Last Modified:05 Apr 2016 12:22
Publisher:Springer
ISSN:0040-5833
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:10.1007/s11238-005-4593-x
Permanent URL: http://doi.org/10.5167/uzh-2306

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