A dynamic game related to a resource management problem with asymmetric players is considered. The resource evolution depends on interchanged usage regimes: exploitation periods, where many players extract a common resource, and moratorium periods, where extraction is prohibited and the resource stock evolves according to the natural growth rule. Both noncooperative and cooperative behaviors of players are constructed and compared. To maintain sustainable resource exploitation, a certain ratio of the lengths of moratorium to extraction periods is applied. The value of exploitation horizon is determined by optimizing the price of anarchy.