Axiomatization of Stochastic Models for Choice under Uncertainty

John Dagsvik

Discussion Papers from Statistics Norway, Research Department

Abstract: This paper develops a theory of probabilistic models for risky choices. Part of this theory can be viewed as an extension of the expected utility theory to account for bounded rationality. One probabilistic version of the Archimedean Axiom and two versions of the Independence Axiom are proposed. In addition, additional axioms are proposed of which one is Luce's Independence from Irrelevant Alternatives. It is demonstrated that different combinations of the axioms yield different characterizations of the probabilities for choosing the respective risky prospects. An interesting feature of the models developed is that they allow for violations of the expected utility theory known as the common consequence effect and the common ratio effect.

Keywords: Random tastes; bounded rationality; independence from irrelevant alternatives; probabilistic choice among lotteries; Allais paradox. (search for similar items in EconPapers)
JEL-codes: C25 D11 D81 (search for similar items in EconPapers)
Date: 2006-07
New Economics Papers: this item is included in nep-dcm and nep-upt
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Related works:
Journal Article: Axiomatization of stochastic models for choice under uncertainty (2008)
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