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Probabilistic Choice and Stochastic Dominance


Blavatskyy, Pavlo R (2008). Probabilistic Choice and Stochastic Dominance. Working paper series / Institute for Empirical Research in Economics No. 364, University of Zurich.

Abstract

This paper presents an axiomatic model of probabilistic choice under risk. In this model, when it comes to choosing one lottery over another, each alternative has a chance of being selected, unless one lottery stochastically dominates the other. An individual behaves as if he compares lotteries to a reference lottery—a least upper bound or a greatest lower boundnin terms of weak dominance. The proposed model is compatible with several well-known violations of expected utility theory such as the common ratio effect and the violations of the betweenness. Necessary and sufficient conditions for the proposed model are completeness, weak stochastic transitivity, continuity, common consequence independence,noutcome monotonicity, and odds ratio independence.

Abstract

This paper presents an axiomatic model of probabilistic choice under risk. In this model, when it comes to choosing one lottery over another, each alternative has a chance of being selected, unless one lottery stochastically dominates the other. An individual behaves as if he compares lotteries to a reference lottery—a least upper bound or a greatest lower boundnin terms of weak dominance. The proposed model is compatible with several well-known violations of expected utility theory such as the common ratio effect and the violations of the betweenness. Necessary and sufficient conditions for the proposed model are completeness, weak stochastic transitivity, continuity, common consequence independence,noutcome monotonicity, and odds ratio independence.

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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:April 2008
Deposited On:29 Nov 2011 22:47
Last Modified:12 Aug 2017 13:05
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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