We consider superhedging and no-arbitrage pricing in markets with a convex and cash-additive structure and derive an explicit functional form for the super-replication price. Using convex duality methods, we show that the superhedging price maximizes the difference between the expected payoff...

Dynamic completeness is an eminently desirable property of financial security markets requiring that every contract or security be traded (possibly by replicating them). It ensures that market participants perfectly transfer risk and smooth their consumption intertemporally. We characterize...

In order to encompass general financial frictions, we generalize the fundamental theorem of asset pricing to convex price functionals.We identify a new arbitrage condition, called robust no-arbitrage, that characterizes viability and generalizes the well-known no-arbitrage condition used in...

We consider superhedging and no-arbitrage pricing in markets with a convex and cash-additive structure and derive an explicit functional form for the super-replication price. Using convex duality methods, we show that the superhedging price maximizes the difference between the expected payoff...

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...

This paper explores the relationship between dynamic consistency and theexisting notions of unambiguous events for Choquet expected utility preferences.A decision maker is faced with an information structure represented bya filtration. We show that the decision maker’s preferences respect...

Two rationality arguments are used to justify the link between condi-tional and unconditional preferences in decision theory: dynamic consistencyand consequentialism. Dynamic consistency requires that ex ante contingentchoices are respected by updated preferences. Consequentialism states...

This paper explores the relationship between dynamic consistency and the existing notions of unambiguous events for Choquet expected utility preferences. A decision maker is faced with an information structure represented by a filtration. We show that the decision maker's preferences respect...