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Living without state-independence of utilities

Abstract : This article is concerned with the representation of preferences which do not satisfy the ordinary axioms for state-independent utilities. After suggesting reasons for not being satisfied with solutions involving state-dependent utilities, an alternative representation shall be proposed involving state-independent utilities and a situation-dependent factor. The latter captures the interdependencies between states and consequences. Two sets of axioms are proposed, each permitting the derivation of subjective probabilities, state-independent utilities, and a situation-dependent factor, and each operating in a different framework. The first framework involves the concept of a decision situation—consisting of a set of states, a set of consequences and a preference relation on acts; the probabilities, utilities and situation-dependent factor are elicited by referring to other, appropriate decision situations. The second framework, which is technically related, operates in a fixed decision situation; particular “subsituations” are employed in the derivation of the representation. Possible interpretations of the situation-dependent factor and the notion of situation are discussed.
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Submitted on : Friday, March 12, 2010 - 10:50:51 AM
Last modification on : Saturday, December 29, 2018 - 12:34:05 PM

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Brian Hill. Living without state-independence of utilities. Theory and Decision, Springer Verlag, 2009, Vol.67,n°4, pp.405-432. ⟨10.1007/s11238-008-9127-x⟩. ⟨hal-00463428⟩

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