Mathematics plays a crucial role in game theory and strategic decision-making by providing the tools and framework to analyze and model various strategic interactions between rational decision-makers. Game theory, which is a branch of mathematics, allows us to study and predict the outcomes of strategic interactions, such as negotiations, competitions, and conflicts. By using mathematical models, decision-makers can optimize their strategies, anticipate the actions of others, and make more informed decisions in competitive situations. Mathematics helps in calculating payoffs, Nash equilibria, optimal strategies, and various outcomes to aid in strategic decision-making processes.