An Axiomatic Approach to Qualitative Decision Theory with Binary Possibilistic Utility

  • Authors:
  • Paul Weng

  • Affiliations:
  • LIP6, France, email: paul.weng@lip6.fr

  • Venue:
  • Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
  • Year:
  • 2006

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Abstract

Binary possibilistic utility unifies two previously proposed qualitative decision models: optimistic and pessimistic utilities. All these decision models have been axiomatized in a von Neumann-Morgenstern setting. These axiomatizations have shown the formal similarity of these qualitative utilities and expected utility. Unfortunately in this framework, the representation of uncertainty has to be clearly assumed to be given. In a more general setting, without this restriction, optimistic and pessimistic utilities have been axiomatized à la Savage. This paper proposes a study of the axiomatics of binary possibilistic utility in a Savagean framework.