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Rationality principles for preferences on belief functions. (English) Zbl 1340.91030

Summary: A generalized notion of lottery is considered, where the uncertainty is expressed by a belief function. Given a partial preference relation on an arbitrary set of generalized lotteries all on the same finite totally ordered set of prizes, conditions for the representability, either by a linear utility or a Choquet expected utility are provided. Both the cases of a finite and an infinite set of generalized lotteries are investigated.

MSC:

91B06 Decision theory
91B16 Utility theory
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