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.
Rationality principles for preferences on belief functions / Coletti, Giulianella; Petturiti, Davide; Vantaggi, Barbara. - In: KYBERNETIKA. - ISSN 0023-5954. - STAMPA. - 51:3(2015), pp. 486-507. [10.14736/kyb-2015-3-0486]
Rationality principles for preferences on belief functions
VANTAGGI, Barbara
2015
Abstract
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.| File | Dimensione | Formato | |
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