In this talk I will present a spatial Pareto maximization problem which takes transport costs into account. The existence of an integrable equilibrium distribution of goods is non trivial and will be presented. Duality techniques will help us to establish a strong duality result which can be interpreted in economics terms. Finally, I will discuss numerical simulations and present an algorithm à la Sinkhorn. This is a joint work with Guillaume Carlier and Bruno Nazaret.
Paul Pegon