On the von Neumann problem and the approximate controllability of Stackelberg-Nash strategies for some environmental problems

Abstract

Two problems arising in Environment are considered. The first one concerns a conjecture possed by von Neumann in 1955 on the possible modification of the albedo in order to control the Earth surface temperature. The second one is related to the approximate controllability of Stackelberg-Nash strategies for some optimization problems as, for instance, the pollution control in a lake. The results of thesecondpart were obtained in collaboration with Jacques-LouisLions.