Research On Evolutionary Game Dynamics Coevoling With Resource Allocation

In nature and human society,in order to survive and reproduce,the biology is to obtain as many resources as possible.However,the limited resources often lead to competition among individuals.As a result of competition,the allocation of resources presents a great imbalance.Cooperative behavior is spontaneous in the competitive environment,the purpose of which is to protect the overall interests of a population and resist the invasion of external races.Evolutionary game theory is a combination of biological evolution theory and classical game theory,which is usually used to study the generation of cooperative behavior between selfish individuals under the background of Darwinian evolution theory.Based on the research results of square lattices networks from the perspective of resource allocation,this paper studies the evolutionary game dynamics,cooperative emergence mechanism,resource allocation.The main work is as follows:(1)In the single-layer network model,the memory factor is introduced into the prisoner game model.The effects of memory ability and limited resources on the dynamic behavior of system game are studied.In addition,in order to simulate people’s memory rule and social security system in real life,memory attenuation factor and minimum resource guarantee mechanism are also proposed.Accordingly,its influence on cooperative behavior and resource allocation is discussed in detail.Then,the players in the system are divided into four types according to the number of resources,and the strategy distribution characteristics of different types of participants are analyzed when the system reaches stable.(2)In the single-layer network model,the environmental factor is introduced into the multigame model.The interaction of environment and resource allocation on cooperation is studied.The relationship between th Moreover,the fitness of individuals is redefined by using environmental factors,and the limited resources are added to the coevolution model with individual strategy.e number of resources and the choice of strategy is studied,and the effect of environmental factors and resources on cooperative behavior is discussed in detail.Finally,in order to further reveal the effect of resources on the evolutionary behavior of multi-game systems,the location-based pinning control mechanism is proposed to adjust the speed of resource change,and the corresponding evolution process is discussed.(3)In the multi-layer network model,the aspiration factor is introduced into the prisoner game model and the influence of interaction aspiration on the dynamic evolution is studied.In addition,neutral strategy is added to the system as the third strategy,and the evolutionary game behavior of players is discussed.At the same time,it reveals the internal mechanism of cooperation between aspiration and resource allocation.(4)In the multi-layer network model,the influence of players is introduced into the multi-game model composed of prisoner game and snowdrift game.The impact of preference selection based on influence and the interdependence strength between multi-layer networks on the dynamic behavior of system game is studied.In addition,limited resources are added to the game model as a co-evolutionary factor to interact with individual strategy and influence.Finally,individuals are divided into different types,and the effects of interdependence strength,suck’s payoffs and limited resource allocation on system dynamics behavior are studied in detail.