Research On Cooperation,Competition Strategies And Robustness Of Multiplex Networks

Network science as a wide range of interdisciplinary emerging disciplines has been set off a research boom over these years,in the past few decades it has made great contributions in characterization the system structure and dynamics,but these research mainly on a single network.Internet technology are increasingly close contact with people's lives,the interaction between different network systems also become more and more important,in order to describe the interaction between different systems,"network of networks" as the forefront of network science are constantly in the research advance.Based on the knowledge of network science and the basic network framework of network,this paper mainly includes the following three contents:(1)Based on the eigenvector centrality,proposed a cooperation and competition model on infrastructure of the multiplex networks.Define foreign relationship of networks are competition,internal relations are cooperation.Reveal the cooperation and competition features,on the basis of the different importance of nodes categorizing cooperation strategies and competition strategies,research on the influence of different cooperation strategy between module network on the configuration of the network and the network resources,found that the more importance node of inside network can bring more benefit to the network,on the process of combination in networks there are discontinuous mutation phenomenon and it is relate to first eigenvalue of the network matrix.Through this method to simulate the dynamic process on the network,can be applied to wide range of system,and has significance to the competition between the enterprises.(2)Combined with the core of the network game,proposed on the Nash equilibrium among networks competition based on the cooperative and competition model.By modeling and simulation Nash equilibrium network model under various connection strategies,based on the network is rational and consider repeated games of classic game theory,found that Nash equilibrium among networks mainly determined by the choice of the weak network,weak network can defeat strongest network through different connection strategy,and powerful network can't change this result.First eigenvalue of matrix can describe the competitive of the network,find that cooperation between networks can enhance the competitive of the network.This conclusion said in some social and economic network,connection strategy may be influenced by individual connector which role resources to the whole network.(3)Simplify the cooperation and competition model and define network interactions through different connection strategy,put forward two layers of network framework to easy understand model,based on this model framework,simulation random failure and deliberate attacks of multiplex network to research the relationship between connection strategy and robustness.Found that the multiplex network connected with important nodes while in random failure and deliberate attacks have continuous mutation phenomenon.Prove that the combination of the important nodes in the network can improve network competitive but reduce the robustness of the entire network.This conclusion provides certain theoretical value and significance to those network managers on decision of competitive and robustness.