Abstract This chapter describes the basic assumptions of game theory and illustrates its major concepts, using examples drawn from the security studies literature. An arms race game is used as an example of a strategic form game, illustrating the meaning of an equilibrium outcome and the definition of a dominant strategy. Backward induction and the definition of subgame perfection are explained in the context of an extensive form game that features threats. Nash equilibrium and the Bayesian equilibrium are discussed, and a short review of the many applications of game theory in international politics is provided. Finally, the chapter concludes with a discussion of the usefulness of game theory in generating insights about deterrence.