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Stochastic Utility Theorem


Blavatskyy, Pavlo R (2007). Stochastic Utility Theorem. Working paper series / Institute for Empirical Research in Economics No. 311, University of Zurich.

Abstract

This paper analyzes individual decision making under risk. It is assumed that an individualndoes not have a preference relation on the set of risky lotteries. Instead, an individual possesses a probability measure that captures the likelihood of one lottery being chosen over the other. Choice probabilities have a stochastic utility representation if they can benwritten as a non-decreasing function of the difference in expected utilities of the lotteries.nChoice probabilities admit a stochastic utility representation if and only if they are complete, strongly transitive, continuous, independent of common consequences andninterchangeable. Axioms of stochastic utility are consistent with systematic violations of betweenness and a common ratio effect but not with a common consequence effect. Special cases of stochastic utility include the Fechner model of random errors, Luce choice model and a tremble model of Harless and Camerer (1994).

Abstract

This paper analyzes individual decision making under risk. It is assumed that an individualndoes not have a preference relation on the set of risky lotteries. Instead, an individual possesses a probability measure that captures the likelihood of one lottery being chosen over the other. Choice probabilities have a stochastic utility representation if they can benwritten as a non-decreasing function of the difference in expected utilities of the lotteries.nChoice probabilities admit a stochastic utility representation if and only if they are complete, strongly transitive, continuous, independent of common consequences andninterchangeable. Axioms of stochastic utility are consistent with systematic violations of betweenness and a common ratio effect but not with a common consequence effect. Special cases of stochastic utility include the Fechner model of random errors, Luce choice model and a tremble model of Harless and Camerer (1994).

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Additional indexing

Item Type:Working Paper
Communities & Collections:03 Faculty of Economics > Department of Economics
Working Paper Series > Institute for Empirical Research in Economics (former)
Dewey Decimal Classification:330 Economics
Language:English
Date:January 2007
Deposited On:29 Nov 2011 22:47
Last Modified:12 Aug 2017 13:03
Series Name:Working paper series / Institute for Empirical Research in Economics
ISSN:1424-0459
Official URL:http://www.econ.uzh.ch/wp.html

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