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Stochastic dominance, risk and disappointment: a synthesis

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Although it is endowed with many interesting properties, the theory of decision-making under risk by Loomes and Sugden [1986] has never been given an axiomatics. In this paper, we make up for this omission because their lottery-dependent functional is endowed with many interesting properties to which little attention has been paid up to now. In particular, investors whose preferences are represented by the functional are rational in that (a) they actually behave differently if they are risk averse or risk prone, (b) risk is defined in a consistent way with risk aversion, (c) the functional is but the opposite to a convex measure of risk (Föllmer ans Schied [2002]) when constant marginal utility is assumed and (d) violations of the second-order stochastic dominance property are allowed for when "utils" are substituted for monetary values. Moreover, the partial weak order induced by stochastic dominance over utils is as "close" to the weak order of preferences as possible and utility functions may be elicited through experimental testing

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  • Thierry Chauveau, 2014. "Stochastic dominance, risk and disappointment: a synthesis," Documents de travail du Centre d'Economie de la Sorbonne 14054, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:14054
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    1. Joao L. Becker & Rakesh K. Sarin, 1987. "Lottery Dependent Utility," Management Science, INFORMS, vol. 33(11), pages 1367-1382, November.
    2. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    3. Thierry Chauveau & Nicolas Nalpas, 2010. "Disappointment Models: an axiomatic approach," Documents de travail du Centre d'Economie de la Sorbonne 10102, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    4. Graham Loomes & Robert Sugden, 1986. "Disappointment and Dynamic Consistency in Choice under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 271-282.
    5. Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
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    More about this item

    Keywords

    Disappointment; risk-aversion; expected utility; risk premium; stochastic dominance; subjective risk;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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