Abstract-This article aims at improving the practice feasibility of game theory for the couches and athletes in a football penalty game. Firstly, some mission success rates are introduced to the penalty game to depict the technical uncertainty. Secondly, direction strategies are digitalized in order to be randomized later by Matlab. Lastly, Monte Carlo(MC) simulation is adopted to randomize the players' direction strategies, according to the probability distribution of a mixed Nash equilibrium.
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