Résumé : This master thesis examines a particular model of Game Theory called the "Common Pool Resource" (CPR) game.In this game, the main problem for the players is that they must share a common resource.The goal is to explore the current research in this field in order to propose and analyze a new model.We define a model of CPR game in which players can take a part of the resource (the part is defined with a ratio).In our CPR game, we use resource dynamics (specify how a resource evolves over time) and a imitation strategy (defines the probability that a player changes his strategy).The strategies are defined by two actions: cooperation and defection.A cooperative strategy takes a part with a ratio $<1$ and a defective strategy takes a part <= 1. We also addressing the following questions: how the population structure affects the game, how to handle consumed resources.The model also uses resources dynamics and replication dynamics.These dynamics can change the strategies of players.We study the behavior of payoff, resources and cooperation level over time.