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Journal Articles Theory and Decision Year : 2010

Expected utility theory under non-classical uncertainty

Abstract

In this article, Savage's theory of decision-making under uncertainty is extended from a classical environment into a non-classical one. The Boolean lattice of events is replaced by an arbitrary ortho-complemented poset. We formulate the corresponding axioms and provide representation theorems for qualitative measures and expected utility. Then, we discuss the issue of beliefs updating and investigate a transition probability model. An application to a simple game context is proposed.

Dates and versions

halshs-00754482 , version 1 (20-11-2012)

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Vladimir Ivanovitch Danilov, Ariane Lambert-Mogiliansky. Expected utility theory under non-classical uncertainty. Theory and Decision, 2010, 68 (1-2), pp.25-47. ⟨10.1007/s11238-009-9142-6⟩. ⟨halshs-00754482⟩
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