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.
2015
Belief function; Choquet expected utility; Generalized lottery; Linear utility; Preference relation; Rationality criteria
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/845908
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