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Expected utility theory under non-classical uncertainty. Theory Dec

By V. I. Danilov and A. Lambert-mogiliansky


In this paper 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.Anapplicationtoasimplegame context is proposed

Topics: bet, non-classical probability, qualitative measure
Year: 2010
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