Analysis of strategies in American football using Nash equilibrium

Abstract

In this paper, the analysis of American football strategies is by applying Nash equilibrium. Up to the offensive or defensive team-role, each player usually practices the relevant plays for his role; each play is qualified regarding the benefit that could add to the team success. The team’s strategies, that join the individual’s plays, are identified by means of the strategy profiles of a normal game formal setting of American football, and valued by the each player’s payoff function. Hence, the Nash equilibrium strategy profiles can be identified and used for the actions decision making in a match gaming.