A standard model of the exploitation of a renewable resource by non-cooperating agents is considered. Under the assumption that the resource is sufficiently productive we prove that there exist infinitely many Markov-perfect Nash equilibria (MPNE). Although these equilibria lead to...

This paper is devoted to a new approach of differential games with state constraints. We explain a new method, general enough to study discontinuous problems but efficient enough to provide numerical schemes. We present this method in a game of kind: the target problem and in a game of degree:...