Expected utility theory under non-classical uncertainty
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.
(This abstract was borrowed from another version of this item.)
Volume (Year): 68 (2010)
Issue (Month): 1 (February)
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