The book offered to your attention is the fruit of a long painstaking work, based on many years of teaching by the authors of the block of economic and mathematical disciplines, carried out by the authors at Moscow State University. M.V. Lomonosov (VMK, Mehmat, Moscow School of Economics, Faculty of Journalism). However, it was based on two basic courses: "Introduction to game theory" and "Theory of advanced games," read at the Moscow School of Economics of Moscow State University named after M.V. Lomonosov. The structure of these courses and, as a result, the present textbook is somewhat different from those traditionally adopted in teaching game theory. In particular, this manual does not distinguish antagonistic games into a separate section of the game theory course, with which the study of this subject usually begins. Instead, the study of the course is proposed to begin with one of the foundations of the mathematical apparatus of game theory - a discussion of various concepts for solving game-theoretic problems from Pareto-optimality to various kernel options.