Kybernetika 51 no. 3, 486-507, 2015

Rationality principles for preferences on belief functions

Giulianella Coletti, Davide Petturiti and Barbara VantaggiDOI: 10.14736/kyb-2015-3-0486

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.

Keywords:

generalized lottery, preference relation, belief function, linear utility, Choquet expected utility, rationality conditions

Classification:

91B06, 91B16

paper.pdf

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