The so-called Allais Paradox (Allais (1953)) has been interpreted as a violation of the independence axiom of Savage (1954). Considering the standard experiments performed this inference is questionable. Rather the paradoxical behavior represents evidence against the expected utility hypothesis...

Capacities (monotone, non-additive set functions) have been suggested to describe situations of uncertainty. We examine the question of how to define the product of two independent capacities. In particular, for the product of two belief functions (totally monotone capacities), there is a unique...

In this paper we present a decentralization result which is useful for practical and theoretical work with the concept of sequential equilibrium and related concepts of perfect Bayesian equilibrium. A weak consistency condition which is sufficient to obtain an analogy to the well-known...