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 ňite and an infinite set of generalized lotteries are investigated
Rationality principles for preferences on belief functions
COLETTI, Giulianella;PETTURITI, DAVIDE;
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 ňite and an infinite set of generalized lotteries are investigatedFile in questo prodotto:
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