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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
