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Stochastic dominance, risk and disappointment: a synthesis

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Abstract

In this article, utilities are substituted for monetary values in the definition of second order stochastic dominance (SSD). Doing so yields a family of preorders induced by SSD among which one is the "closest" to the original preorder of preferences. The corresponding utility function is the most likely to be that of the decision maker. It may be defined before behavioural axioms are set. Theories of decision making under risk can then be restated in a more general and consistent way. As an example, a new theory of disappointment is developed, which is endowed with three important properties: (a) risk premia are invariant by translation, (b) when constant marginal utility is assumed, preferences are represented by a functional which is the opposite to a convex measure of risk and (c) the functional representing preferences and the utility function can be easily 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 14054rr, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jan 2016.
    • Handle: RePEc:mse:cesdoc:14054rr
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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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