The paper indicates that complete rationality is the basic assumption of traditional game theory and leads to limitations in dynamic game.It was pointed out that bounded rationality and replicator dynamics are the foundation of multiperson selection,and the evolutionary learning methods for improving bounded rationality and selection mechanism in dynamic game were explored. In addition,the essence of evolutionary game and evolutionary stable equilibrium was revealed and the difference between traditional game theory and evolutionary game theory was described.The problems to be studied about evolutionary game theory and cooperation mechanisms were proposed and some concerned research results under the assumption of bounded rationality were provided.