This paper shows that, for CEU preferences, the axioms consquentialism, state independenceand conditional certainty equivalent consistency under updating characterise a family of capacities,called Genralised Neo-Additive Capacities (GNAC). This family contains as special casesamong others...

In this paper, we propose an interpretation of the Hilbert space method used in quantum theory in the context of decision making under uncertainty. For a clear comparison we will stay as close as possible to the framework of SEU suggested by Savage (1954). We will use the Ellsberg (1961) paradox...