Double Matrix Game Perfect Balance Of Stability And Sensitivity Analysis

In this paper,we research the stability of perfect equilibrium of bimatrixgame by applying linear programming. Specifically, we research the stability andsensitivity analysis of perfect equilibrium of bimatrix game through the relation ofperfect equilibrium and linear programming.The first chapter is the background knowledge. We introduce the game theoryappearance, development, present situation and it's type as well as the theory structure.In addition, we introduce some achievements and classical examples of non-cooperation game, through which we can obtain more understanding to the non-cooperation game.The second chapter is preliminary knowledge, which mainly contains somerelated knowledge, such as perturbation game, perfect equilibrium concept and somelemma.In the third chapter, we confirm the perfect equilibrium of bimatrix game byapplying linear programming.In the fourth chapter, we analyse the stability of perfect equilibrium of bimatrixgame by applying linear programming. This chapter mainly carries on the sensitivityanalysis to the linear programming model. Then we analyze the stability of perfectequilibrium of bimatrix game through the relation of the linear programming modeland bimatrix game.