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...

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 consider a decision-maker who tries to learn the distribution ofoutcomes from previously observed cases. For each observed sequence of casesthe decision-maker predicts a set of priors expressing his beliefs about the underlyingprobability distribution. We impose a version of...

In [7] Ghirardato, Macheroni and Marinacci (GMM) propose a method for distinguishing between perceived ambiguity and the decision-maker's reaction to it. They study a general class of preferences which they refer to as invariant biseparable. This class includes CEU and MEU. They axiomatize a...