Binary choice probabilities on mixture sets

Ryan, M
Item type
Conference Contribution
Degree name
Journal Title
Journal ISSN
Volume Title
School of Computer and Mathematical Sciences, Auckland University of Technology

Experimental evidence suggests that choice behaviour has a stochastic element. Much of this evidence is based on studying choices between lotteries – choice under risk. Binary choice probabilities admit a strong utility representation (SUR) if there is a utility function such that the probability of choosing option A over option B is a strictly increasing function of the utility difference between A and B. Debreu (1958) obtained a simple set of sufficient conditions on binary choice probabilities for the existence of a SUR. More recently, Dagsvik (2008) considered binary choices between lotteries and provided axiomatic foundations for a SUR in which the underlying utility function is linear (i.e., conforms with expected utility). Our paper strengthens and generalises Dagsvik’s result. We show that one of Dagsvik’s axioms can be weakened, and we extend his analysis to encompass choices between uncertain prospects, as well as various non-linear specifications of utility.

AUT Mathematical Sciences Symposium held at AUT, Auckland, 2014-11-27 to 2014-11-28
Rights statement
Auckland University of Technology (AUT) encourages public access to AUT information and supports the legal use of copyright material in accordance with the Copyright Act 1994 (the Act) and the Privacy Act 1993. Unless otherwise stated, copyright material contained on this site may be in the intellectual property of AUT, a member of staff or third parties. Any commercial exploitation of this material is expressly prohibited without the written permission of the owner.