Game theory, a branch of applied mathematics focused on decision-making in competitive situations, plays a crucial role in the cryptocurrency sector. It is employed to model rational behavior and maintain system stability across various blockchain mechanisms, DeFi protocols, and mining incentives. Key concepts such as Nash equilibrium, Bayesian equilibrium, and evolutionary stable strategies are integral to these applications. These theoretical frameworks help elucidate the interactions between participants and institutions within the crypto ecosystem, ensuring robust and efficient operations.