The book is a textbook on game theory. In addition to the traditional sections of game theory, such as: finite and endless antagonistic games, coalition-free and cooperative games, multi-step games, new directions are presented here that have not yet been covered in the domestic educational literature, such as: negotiation models, potential games, salon games, best choice games and network games. The reader is required to know the basics of mathematical analysis, algebra and probability theory. At the end of each chapter, there are exercises that can be used to learn the material. The book is intended for students studying in the direction of training "Applied Mathematics and Computer Science." In addition, she is of interest to mathematicians working in the field of game theory, as well as specialists in economics, management and operations research.