Research On Group Evolution Multi Game Based On Heterogeneous Complex Networks

In the real world,many systems can be represented as complex networks,in which multiple network nodes with some similar characteristics form a group.Complex networks can build interconnected individuals,and game theory endows rational decision-making to the behavior characteristics of individuals in the network.From the perspective of game theory,there are many kinds of groups in group evolution game,the different characteristics between groups are called group heterogeneity.The complex network constructed by heterogeneous groups can consider the influence of group heterogeneity on evolutionary game,this influence is not only reflected in the inconsistency of income function,but also in the different strategy selection mechanism and so on.In recent years,in the research of complex networks,people focus on modeling complex networks and simulating games with game theory,most of them only consider network homogenization or single game model.However,in the real network,the game situation does not only exist among heterogeneous individuals,but also among homogeneous individuals,and the distribution among individuals of different groups is random,in the mixed game between heterogeneous groups and homogeneous groups,the application of a single game model is limited.Therefore,this paper proposes a multi game heterogeneous complex network model(the mix model).Based on the small world network that endows nodes with heterogeneity,the advantages and disadvantages of network nodes are distinguished,and the heterogeneous groups are randomly distributed in the network.Introducing the revenue correction factor and combining the Boxed Pigs Game with the Prisoner’s Dilemma Game to form a multi game model.Reconstruct the revenue function to avoid the imbalance of game income between homogeneous groups and the balanced distribution of game income between heterogeneous groups.The strategy updating mechanism in coevolution rule is improved,and the decision is made according to unconditional imitation rule on the basis of considering the positive and negative revenues.Add the decision mechanism of node extinction to realize the network update in coevolution.This paper introduces the case study of enterprises competition,and through computer simulation experiments,it is found that the mix model can promote the emergence of cooperation in group evolutionary game.By controlling the parameters affecting the network to study the stability and synergy of cooperative emergence,it is found that this model also has a significant cooperative inhibition effect under the condition of promoting cooperation,and the further exploration shows that this model has better strategy learning ability than the previous single game model.The probability of network edging is positively correlated with the node extinction rate,and the extinction rate is negatively correlated with the extinction threshold.Introduce the revenue correction factor to overcome the problem of game simplification in heterogeneous complex networks and the imbalance of game revenue caused by node heterogeneity.The experimental results show that the model proposed in this paper can reach the equilibrium convergence state after multiple rounds of evolutionary game,and realize the coevolution behavior of network topology and strategy selection in the game process,which provides a certain theoretical basis for the survival and development of enterprises in today’s socioeconomic competition pattern.