Study on the Mixed Strategy Nash Equilibrium in the Game of "Serve-Serve Reception" in Table Tennis Competition

Nash Equilibrium is the core concept of game theory.Video observation,interview and literature were used to study the mixed strategy Nash Equilibrium in the tactical behavior of the table tennis game.The results are as below:As the mixed strategy game,the table tennis tactic behavior game is the probabilistic combination of pure strategies.Mixed strategy is a special case of continuous strategy. The optimal reaction analysis can be used to solve the mixed strategy Nash Equilibrium in the tactical behavior of the table tennis game.Table tennis players in sports practice represents the respective optimum reaction rule in the game process,which builds the optimum curve reflect the behavior of table tennis tactics mixed strategy Nash Equilibrium solution.The importance of mixed strategy Nash Equilibrium in the tactical behavior of the table tennis game lies in the strategy that once the player shows a strong regularity,the opponents can easily find the rule and will be at a disadvantage status.