GdTProbaTESD20181119

The stochastic shallow lake problem

Lundi 19 novembre 2018, 11:00 à 12:00

Salle de séminaire M.0.1

Groupe de travail en Probabilités, Théorie Ergodique et Systèmes Dynamiques
Michail Loulakis

(National Technical University of Athens)

We study the welfare function and the optimal control of the phosphorus deposition for the shallow lake problem with multiplicative noise. We show that the welfare function is the viscosity solution of the associated Bellman equation and we establish several properties including its asymptotic behaviour at infinity. Finally we examine the trajectories of the optimally controlled lake.

Exposé