Study On Game Dynamics Of Emotional Evolution

Whether in industrial production or in daily life,people often seek cooperation to achieve mutual benefit and win-win results and create more benefits.By examining the factors that directly affect individual cooperative behavior,it is not only helpful to explore how cooperation occurs and changes,but also improves the level of cooperation between two or more parties in social interaction by changing factors that are not conducive to cooperation.From the perspective of emotion,this paper explores the evolution process of emotion and cooperation in four cases: infinite population,finite population,network structure and network broken edge reconnection within the framework of game model.For the infinite and fully mixed population,the emotion types are divided into four types,namely respect,sympathy,jealousy and bullying.The corresponding relationship between the four emotion types and the two game strategies of competition and cooperation is established.Through the game income function,the replication dynamic equation is established to find all the equilibrium points.According to the sign of the rank and trace of Jacobi matrix,the stability of the equilibrium point is judged,and the emotional evolution path is given.Finally,considering the possible deviation of emotion driven game behavior,system noise is introduced,and it is found that system noise can lead to a certain degree of cooperative behavior.For the population with limited population,based on the corresponding relationship between emotion and behavior,an emotion game model is established,and the evolution dynamics of four emotion types and two game behaviors are studied by Moran process.According to the Markov process of system state transition,a theoretical calculation method of absorption probability is proposed,and the rooting probability of four emotion types and the absorption probability,average payoffs and cooperation level of the whole system under the condition of population size N = 4 are deduced in detail.For the limited population with network structure,the emotion types are divided into six types,namely respect,sympathy,jealousy,bullying,indifference and fear.The corresponding relationship between the six emotion types and three game behaviors(cooperation,betrayal and loneliness)is established based on regular lattice network,random network and BA scale-free network.The evolution results of emotion types and game behavior under different network structures are obtained by Monte Carlo simulation.For the finite population considering network disconnection and reconnection,based on BA scale-free network and the above six emotion types of game models,two disconnection and reconnection mechanisms of reputation disconnection-reputation connection and payoff disconnection-payoff connection are constructed,and the evolution of network structure and emotion game dynamics is simulated and analyzed.The evolution characteristics and direction of emotion types and game behaviors under different time scales are obtained..