Study On Some Problems Of Tripartite Game

This paper mainly studies the three-party network game and the war game,which is of great significance to the study of the actual competitive relations and patterns.Starting from the analysis of the effectiveness and Nash of the network,this paper reflects the competitive game relation in the social reality as the war game relation with unequal strength,and deduces the dynamic evolution process of optimizing the war game strategy.Firstly,the paper studies the topology structure of efficient network and Nash network under the three-party indirect link model with attenuation.Based on the effectiveness and equilibrium of the network,the paper mainly discusses the evolution process of three-party game in the case of the difference between the principal and the principal and the attenuation of the indirect link.It also provides the model foundation for the study of the three-party war game.The second part of the paper analyzes the evolution process of the three-party war based on the basic evolution nature of the war.Using the method of graph theory and differential equation,this paper studies the evolution of the participant's strategy under the three-party game model,and the process of the war strategy gradually reaching the optimal Nash equilibrium strategy.There are only two optimal evolutionary results of the game.First,when one of the players is strong enough to win alone;Second,the three parties of participants get the result of tripartite confrontation through repeated games and evolution under their respective optimal equilibrium strategies.In this paper,by analyzing the nature and characteristics of the evolution process of the three-party war game,the optimal equilibrium strategy in the game model is obtained,so that the participants can obtain the maximum benefit in the game.In practice,it can be used to guide the strategic choice of the main body in the competitive relationship,especially for the survival of the weak competitors.