Discussion Papers no. 465

Axiomatization of stochastic models for choice under uncertainty

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.

Om publikasjonen

Tittel

Axiomatization of stochastic models for choice under uncertainty

Ansvarlig

John K. Dagsvik

Serie og -nummer

Discussion Papers no. 465

Utgiver

Statistics Norway

Emne

Discussion Papers

Antall sider

50

Målform

Engelsk

Om Discussion Papers

Discussion papers comprise research papers intended for international journals and books. A preprint of a Discussion Paper may be longer and more elaborate than a standard journal article as it may include intermediate calculations, background material etc.

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