A Differential Game for Renewable Resource Extraction Asymmetric Players and Asynchronous Horizons

In this paper we study a differential game, for resource extraction of a renewable good, in which players are overlapping generations of extractors. The framework of overlapping generation allows us to consider intragenerational (players in the same generation) and intergenerational (players in different generations) game equilibrium. We consider the case in which players, even if identical, face competition in an asymmetric way. Since we consider overlapping generations, players have asynchronous horizons, in contrast with a number of studies in intertemporal exploitation of resources in which players have identical time horizons.