Gaming and Strategic Choices to American Football

Abstract: We propose American football (AF) modeling by means of a context-free grammar (CFG) that cores correct combination of players’ actions to algorithmic simulation. For strategic choices, the Nash equilibrium (NE) and the Pareto efficiency (PE) are used to select AF strategy profiles having better percentage to success games: results from game simulations show that the AF team with a coach who uses NE or PE wins more games than teams that not use strategic reasoning. The team using strategic reasoning has an advantage that ranges from 30% to 65%. Using a single NE, the corresponding advantage is approximately 60% on average. Using a single PE, the corresponding advantage is approximately 35% on average. Feeding simulations with National Football League (NFL) statistics for particular teams and specific players, results close-fit to the real games played by them. Moreover, statistics confidence intervals and credible intervals support conclusions. On the base of CFG modeling and use of statistics (history of teams and players), forecasting results on future games is settled.