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2004-01-01 - Article/Dans un journal avec peer-review - Anglais - 12 page(s)

Bouyssou D., Pirlot Marc , "A note on Wakker's cardinal coordinate independence" in Mathematical Social Sciences, 48, 11-22

  • Edition : Elsevier Science
  • Codes CREF : Modèles mathématiques d'aide à la décision (DI1151), Mathématiques (DI1100), Recherche opérationnelle (DI1150), Théorie de la décision et des jeux (DI1134)
  • Unités de recherche UMONS : Mathématique et Recherche opérationnelle (F151)
Texte intégral :

Abstract(s) :

(Anglais) Peter P. Wakker has forcefully shown the importance for decision theory of a condition that he called “Cardinal Coordinate Independence” (CCI). Indeed, when the outcome space is rich, he proved that, for continuous weak orders, this condition fully characterizes the Subjective Expected Utility (SEU) model with a finite number of states. He has furthermore explored in depth how this condition can be weakened in order to arrive at characterizations of Choquet Expected Utility and Cumulative Prospect Theory. This note studies the consequences of this condition in the absence of any transitivity assumption. Complete preference relations satisfying Cardinal Coordinate Independence are shown to be already rather well-behaved. Under a suitable necessary order denseness assumption, they may always be represented using a simple numerical model.