Public Goods Game Research On Interdependent Networks

Individuals tend to be selfish,but in populations of selfish individuals,cooperateon occurs frequently,and understanding the emergence of cooperative behavior is a very important problem.Through the mathematical tool of evolutionary game theory,especially the cooperative evolutionary game based on complex network,it can provide better theoretical support and experimental framework for the widespread emergence of cooperative behavior.Under this framework,this paper applies complex network theory,Monte Carlo,data statistical analysis methods,The paper focuses on exploring the influence of edge addition and edge breaking mechanism on game evolution in interdependent networks.The work contents are as follows: First,we study the analysis of the mechanism of adding edges and breaking edges,a more practical mechanism of adding edges and breaking edges is proposed,which is compared with the public goods game without any promotion mechanism.Under the condition of adding edges and limiting edges,the mechanism we proposed can significantly promote cooperation.Second,we put forward a new kind of interdependent network of public goods game model,this model is a layer of network topology remains the same,close to an ever-changing network of relationships,and another layer of each node in the network can be independent of the accumulation of neighbors don't satisfaction,when not satisfaction reaches a certain,it could happen,every edge nodes at the same time at a certain probability,to establish contact with all the advantages of other nodes and isolated nodes will be at a certain probability and maximum of connected graph nodes connect to rejoin the game,to our life changing interpersonal network.The probability of policy passing between layers is described by p.we find that a specific p,not limiting the number of added edges will not inhibit cooperation,on the contrary,it will promote cooperation,and the degree of cooperation is higher than that of adding edge breaking mechanism in a single-layer network.In particular,With the decrease of parameter p,the network cooperation threshold and the gain factor required to achieve the whole network cooperation decrease gradually,and reached the highest level when p=0.1.Moreover,the experimental results show that not only the mutable one layer promotes the cooperation of the other layer,but the two layer networks promote each other.Third,In this paper,the effects of different upper limit of adding edges on game evolution are studied,and the results show that in single-layer networks,excessive adding behaviors not only do not promote cooperation,but also inhibit cooperation.In the interdependent network with high degree of interdependence,the higher the upper limit of adding edge,the smaller the gain factor required by the network to achieve whole-network cooperation.Fourth,We further study the dynamic adaptive networks in two network layers of interdependent networks,we found that in this model,the cooperator evolution of the two layer is almost the same.only 0