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Subjective risk and disappointment

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Abstract

If an investor does care for utilities –and not for monetary outcomes– stochastic dominances should be expressed in terms of utility units ("utils"). If so, any "rational" investor may be characterized by an elementary utility function –called canonical utility function– which is such that the partial weak order induced by stochastic dominance over utils is as "close" to the weak order of preferences as possible. As a consequence, the random utilities of the available prospects do not violate the second-order stochastic dominance property. Substituting utils for monetary units leads to substitute "subjective" risk for "objective" risk à la Rothschild and Stiglitz (1970). A weakened independence axiom may them be set over comparable prospects, i.e. those which exhibit the same canonical expected utility. This leads to a fully choice-based theory of disappointment. The functional is lottery-dependent (Becker and Sarin 1987). When constant marginal utility is assumed, it is but the opposite to a convex measure of risk (Föllmer and Schied 2002). It may be viewed as a theoretical justification for choosing this measure of risk

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  • Thierry Chauveau, 2012. "Subjective risk and disappointment," Documents de travail du Centre d'Economie de la Sorbonne 12063r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Dec 2012.
    • Handle: RePEc:mse:cesdoc:12063r
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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. 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.
    3. 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.
    4. 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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    Cited by:

    1. Stefan Rass & Sandra König & Stefan Schauer, 2022. "Games over Probability Distributions Revisited: New Equilibrium Models and Refinements," Games, MDPI, vol. 13(6), pages 1-26, December.

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    More about this item

    Keywords

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

    JEL classification:

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

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