Evolution Of Cooperation In A Seasonally Changing Environment Based On Multi-Strategy Public Goods Game

The phenomenon of cooperation and seasonal changes are ubiquitous in nature,and the theory of individual pursuit of profit maximization is not consistent with the reality of the ubiquitous phenomenon of cooperation.It is a major challenge for the whole social science and natural science to study the emergence and maintenance of cooperative behavior.Evolutionary game theory is suitable for modeling cooperative problems in nature and is widely used in the study of cooperative problems.Based on evolutionary game theory,this thesis analyzes the cooperative evolution process of seasonal the changing environment.The main work is as follows:1.An evolutionary game model reflecting the seasonal changes of the environment is established to study the evolution of cooperation under the game of optional public goods.In this thesis,sinusoidal curve distribution is used to describe the seasonal variation of the environment,Fermi updating is used as the strategy updating rule,and the optional public goods game is established on the grid.It is found that when the three strategies of cooperator,defector and loner are combined with the seasonal changing environment,a complex dynamic process is produced.When the three strategies coexist stably,the periodic change of the environment causes periodic fluctuation of the strategy distribution,and the larger the amplitude of the periodic change of the environment is,the larger the strategy fluctuation will be,which accelerates the formation of absorption states.In addition,a short period of environmental change limited the strategy renewal,while a long period of environmental change slowed down,and the evolution of the three strategies played an obvious role.2.The long-term cooperation strategy CL was designed to explore the long-term cooperation mechanism in the seasonal environmental change and cope with the adverse effects of the seasonal environmental change on the cooperation.The long-term cooperation strategy CL has the following characteristics: the strategy is updated according to the average revenue in the whole cycle;Individuals cannot change to other strategies in the first cycle after becoming long-term cooperative strategy CL;Additional costs are incurred when calculating benefits.Research analysis shows that long-term cooperation strategy CL performs well on the whole.When the additional cost of CL is low,long-term cooperative strategy CL dominates the strategy distribution.When the additional cost of CL is high,long-term cooperation strategy CL can not only give the good performance of the cooperation strategy C,improve the group income,but also can replace the poor performance of the cooperation strategy C,maintain the cooperation level.Overall,this thesis establishes the reflect the evolutionary game model of seasonal changes of the environment,studies the strategy under the seasonal climate change of the three cooperation and changes,design the long-term cooperation strategy CL and studied to maintain long-term cooperation mechanism,to solve the dilemma under the periodical change of cooperation to provide theoretical basis for help to study the evolution of cooperation development,has important research significance.