This article introduces the theory of games, covering noncooperative and cooperative games. It explores concepts like Nash equilibria, mixed extensions of games, and different types of games like matrix games and repeated games. The researchers delve into cooperative games, discussing the core, stable sets, and the Shapley value. They also touch on cost allocation in game theory and bargaining processes. The main goal is to provide a comprehensive overview of game theory concepts, methods, and applications for readers to understand and apply in various scenarios.