1.Minimization problems: general theorems. 2.Convex functions and proximation, projection and separation theorems. 3.Conjugate functions and convex minimization problems. 4.Subdifferentials of convex functions. 5.Marginal properties of solutions of convex minimization problems. 6.Generalized gradients of locally Lipchitz functions. 7.Two-person games. Fundamental concepts and examples. 8.Two-person Zero-sum Games: theorems of von Neumann and Ky Fan. 9.Solution of nonlinear equations and inclusions. 10.Introduction to the theory of economic equilibrium. 11.The von Neumann growth model. 12.n-person games. 13.Cooperative games and Fuzzy Games. 14.Exercises. 15.Statements of problems. 16.Solutions to problems.