In most models of (cumulative) prospect theory, reference dependence of preferences is imposed beforehand and the location of the reference point is determined exogenously. This paper presents principles that provide critical tests and foundations for prospect theory preferences without assuming...

We present a preference foundation for Chance Theory (CT), a model of decision making under uncertainty where the evaluation of an act depends distinctively on its lowest outcome. This outcome is evaluated with the riskless value function u and the potential increments over it are evaluated by...

This paper shows how de Finetti's book-making principle, commonly used to justify additive subjective probabilities, can be modified to agree with some nonexpected utility models. More precisely, a new foundation of the rank-dependent models is presented that is based on a comonotonic extension...