The classical von Neumann-Morgenstern's notion of lottery is generalized by replacing a probability distribution on a finite support with a belief function on the power set of the support. Given a partial preference relation on a finite set of generalized lotteries, a necessary and sufficient condition (weak rationality) is provided for its representation as a Choquet expected utility of a strictly increasing utility function. © Springer International Publishing Switzerland 2014.

Choquet Expected Utility Representation of Preferences on Generalized Lotteries / Giulianella, Coletti; Petturiti, Davide; Vantaggi, Barbara. - 443 CCIS:PART 2(2014), pp. 444-453. (Intervento presentato al convegno 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, IPMU 2014 tenutosi a Montpellier nel 15 July 2014 through 19 July 2014) [10.1007/978-3-319-08855-6_45].

Choquet Expected Utility Representation of Preferences on Generalized Lotteries

PETTURITI, DAVIDE;VANTAGGI, Barbara
2014

Abstract

The classical von Neumann-Morgenstern's notion of lottery is generalized by replacing a probability distribution on a finite support with a belief function on the power set of the support. Given a partial preference relation on a finite set of generalized lotteries, a necessary and sufficient condition (weak rationality) is provided for its representation as a Choquet expected utility of a strictly increasing utility function. © Springer International Publishing Switzerland 2014.
2014
15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, IPMU 2014
choquet expected utility; preference relation; generalized lottery; belief function; probability envelope
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Choquet Expected Utility Representation of Preferences on Generalized Lotteries / Giulianella, Coletti; Petturiti, Davide; Vantaggi, Barbara. - 443 CCIS:PART 2(2014), pp. 444-453. (Intervento presentato al convegno 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, IPMU 2014 tenutosi a Montpellier nel 15 July 2014 through 19 July 2014) [10.1007/978-3-319-08855-6_45].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/618380
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