This paper considers a dynamic game problem related to pollution management. The planning time is distinctly segmented into the phases of pollution discharge and natural pollution recovery periods, following the natural growth rule. Throughout this process, multiple agents jointly exploit a single resource. The behaviors of participants with both noncooperative and coordinated strategies are studied to establish a ratio between the values of discharge and recovery periods for achieving sustainable pollution level. As an illustration, a dynamic pollution discharge problem with multiple participants and an integrated planning timeline is also investigated.