The book "Elements of game theory: a textbook" under the authorship of a team of authors, including A. G. Karaseva is a fascinating and in-depth analysis of one of the most interesting and relevant areas of mathematics and economics - game theory. This guide not only serves as teaching material, but also opens the door to a world of strategic thinking where every move can be decisive. Game theory is not just a set of mathematical formulas and models, it is a whole philosophy that covers many aspects of human behavior, from business to politics and even personal relationships. In their book, the authors invite the reader to immerse themselves in the foundations of this theory, starting with the simplest games and ending with more complex concepts, such as games with complete and incomplete information, zero and non-zero games, as well as cooperative and non-cooperative models. Each chapter is filled with real-life examples, allowing a better understanding of how theoretical concepts are applied in practice. This book will be of particular interest to undergraduate and graduate students studying mathematics, economics, sociology, and related disciplines. It will also be suitable for practitioners working in data analysis, business strategies and management, as well as anyone seeking to develop their strategic thinking skills. If you are interested in such topics as optimization of solutions, conflict situations and ways to resolve them, then this guide will be a real find for you. One of the key topics raised in the book is the interaction between participants under uncertainty. The authors examine in detail how different strategies can influence the outcome of the game and how important it is to take into account the actions and reactions of other participants. This knowledge can be applied not only in economic models, but also in everyday life, where each of our solutions can be part of a broader strategy. The writing style of the authors is clear and accessible, which makes the material easy to understand even for those who are just beginning to get acquainted with game theory. The book is packed with graphs, tables, and illustrations that help visualize complex concepts and make the learning process more engaging. In addition, the manual presents tasks and exercises that allow readers to consolidate the knowledge gained in practice. In addition to "Game Theory Elements", A. G. Karaseva and his colleagues are also known for other work in mathematics and economics, which emphasizes their deep understanding of the subject and their desire to share knowledge with a wide audience. Their work often becomes the basis for training courses and seminars, which indicates a high level of confidence in their expertise. If you are looking for a tutorial that will not only expand your knowledge of game theory, but also help you develop critical thinking and strategic skills, then “Game Theory Elements: A Tutorial” will be an excellent choice. This book will not only enrich your intellectual baggage, but will also open new horizons in understanding the interaction of people and decision-making in a competitive environment. Do not miss the opportunity to immerse yourself in the exciting world of game theory and discover new strategies that can change your perception of the world around you!