Research On Memory Effect And Spatial Coupling Mechanism Based On Prisoner’s Dilemma Game

Evolutionary game theory is a powerful theoretical tool for people to solve social dilemmas.As a basic structure of complex systems,complex networks provide a new perspective and new method for complexity research.It describes Real network in an abstract way.Combining game theory with complex network theory has become a new method and new perspective for studying complex systems.The research work involved in this thesis is mainly based on the rule network in the complex network topology model and the prisoner dilemma model in game theory.The influence of memory length on group cooperative evolution and the control ability of utility parameters in interdependent networks are studied.On this basis,self –query update mechanism is introduced.Furthermore,the dynamic characteristics and structural characteristics are analyzed and the research results strongly prove the important influence of memory length and utility parameters on the rule network.The main research contents and innovative achievements of the thesis are as follows:1.An evolutionary game model is proposed to study the effect of the memory length on group cooperative behavior under the rule lattice network.The memory length is ingeniously introduced into the Fermi rules on which the individual is making decisions,and then the influence of the memory length on the evolution of the group is studied.A large number of simulation data show that memory can promote the survival of collaborator clusters,and the collaborator cluster can continue to expand and get the best results like the traditional spatial network reciprocity only when the memory length is at an intermediate value.When the memory length is too large,the promotion effect may decrease.2.A self-quenstioning strategy updating mechanism is proposed based on the research on memory effect.By meas of self-questioning,each player adopts its antistrategy to play a virtual game with all its neighbors,and calculates the virtual total payoff.Comparing the virtual payoff with the actual payoff,each player can get its optimal strategy corresponding to the highest payoff and then record it into its memory.Based on the prisoner’s dilemma game model and the rule lattice network,the influence of this strategy update mechanism on group evolution is studied.3.A new utility coupling method is proposed to study the effect of the size of the utility parameters on the group cooperation rate under the interdependent lattice network.As the degree of payoff integrated into individual utility evaluation increases,the level of overall cooperation under steady state can be greatly promoted,that is,the larger the tunable parameter,the higher the cooperation level.Second,combining the utility evaluation of multiple parameters on another grid helps prominent players make rational choices and helps create cooperative clusters to prevent intruders from invading.