A Study Of Evolutionary Games On Multiplex Network

The understanding of the emergence of cooperative phenomena is one of the significant goals to achieve in natural science.With the promotion of knowledge unification in complexity science,scholars in various fields have joined the research of cooperative evolution.The development of complex network science has led people to analyze the interaction behavior and evolutionary dynamics in the network,which has greatly expanded the research value of evolutionary game theory and its application prospect.Some very valuable researches showed that we live in a fully connected world,and a slight change in one real network may cause huge changes or even catastrophe in one another network.This makes a lot of attention to the research of multiplex network,which is proposed in recent years.Most of the previous research work of the evolution of cooperation has been concentrated in single-layer complex network.However,the actual cooperative behavior takes place in multiple networks.The evolutionary process can not ignore the impact of the interrelationships between networks.Therefore,we focuses on the study of the dynamics of cooperative evolution and the strategies in multiplex networks.The main work of this article includes:(1)We study the dynamics of cooperative evolution in multiplex networks and highlights the robustness of multi-layer network structure.As previous works pay less attention to the impact of multiplex network,we study the evolution of cooperation by regarding the total gains in each network as individual's fitness.We study the robustness of multiplex network by increasing the temptation to defect,having the possibility to internal mutation,importing external attack.It is found that in the process of cooperation evolution,networks are conducive to the stability of cooperation evolution under such negative conditions,and the negative impact is less than that of the single-layer network.(2)We study a co-evolutionary strategy based on multiplex network.Since the structure of the real network is constantly changing,and there is an inevitable connection between the dynamics of the network structure and the evolution dynamics on the network,we study a strategy based on multiplex network which gives subjects the adaptive ability to cutting edge,and then randomly add edge.It is found that this strategy effectively promotes the evolution of cooperation.Then,we study the impact of various experimental parameters on the evolution of cooperation,and the impact on the network structure.