We propose a new mathematical model for the decision-making of players in football (soccer) and the efficiency of the game style. Our approach is based on $4$-networks, which is a mathematical concept that we introduce. The decision of players is expressed by a mathematical function depending on the game style chosen by the coach. Moreover, we measure the efficiency of the game style by a sequence of 4-networks.

翻译：我们提出了一种新的数学模型，用于描述足球运动中球员的决策过程以及比赛风格的效率。我们的方法基于我们引入的一个数学概念——$4$-网络。球员的决策通过一个数学函数来表达，该函数取决于教练选择的比赛风格。此外，我们通过一系列$4$-网络来度量比赛风格的效率。