We present a unified duality approach to Bayesian persuasion. The optimal dual variable, interpreted as a price function on the state space, is shown to be a supergradient of the concave closure of the objective function at the prior belief. Strong duality holds when the objective function is...

In this paper we study a robust utility maximization problem in continuous time under model uncertainty. The model uncertainty is governed by a continuous semimartingale with uncertain local characteristics. Here, the differential characteristics are prescribed by a set-valued function that...

Duality for linear vector optimum problems is often just a mathematical construct (l'art pour l'art). We define a family of dual problems to support decision-makers in a concrete economic situation. Entrepreneurs generally want to participate in initiatives for producing new products with...