# 5 semester

 1 Name of the discipline MATHEMATICAL FOUNDATIONS OF THE CONSUMPTION THEORY 2 Study course, specialty 3, Mathematics (economic activity) 3 Semester of study 5 4 Amount of credits 2 5 Lecturer’s S.N.P. Gorokhovik Valentin Vikentievich 6 Aims of the study Form students a holistic view of the basic mathematical concepts and positions of the theory of ordered sets and the general theory of decision-making and teach them how to use them in mathematical modeling of economic problems in the theory of consumption. 7 Prerequisites Mathematical analysis Topology Probability theory 8 Contents of the discipline Binary relations. Tolerance and equivalence relations. Relations of partial preference. Binary relations on groups. Binary relations on vector spaces. The theory of utility. The existence of utility functions for complete preference relations. Sequential separability and the existence of utility functions for partial preferences. The utility theory for preference relations defined on vector spaces. Demand functions. General theory. Demand functions on ordered vector spaces. As a result of studying the discipline, the trainee must be able to: – perform operations on binary relations; – To construct a ratio of tolerance according to a given covering of the set; – to find for a given partial preference attitude the accompanying attitude of indifference and the ratio of equivalence; – build the continuation of the partial preference relations given on finite sets to weak preferences; – define utility functions for partial preference relations defined on finite sets; -to find the set of maximal elements of a given subset of the plane with respect to the coordinate-wise ordering of points of the plane; – for a given subset of a partially ordered set and the ratio of a weak preference to a given utility function, determine the corresponding value of the demand function. 9 Recommended literature 1. Ashmanov S.A. Introduction to mathematical economics. – Moscow: Science, 1984. 2. Gorokhovik V.V. Convex and nonsmooth vector optimization problems. – Minsk: Science and Technology, 1990. – 239 c. 2. Kirut A.Ya., Rubinov AM, Yanovsky E.B. Optimal choice of distributions in complex socio-economic problems. – Leningrad: Science. Leningr. Otd-tion, 1980. – 168 ~ p. 3. Makarov VL, Rubinov A.M. Mathematical theory of economic dynamics and equilibrium. – Moscow: Science, 1973. 4. Nikaido X. Wavy corporations and mathematical economics -.M .: Mip, 1972. – 517c. 5. Fishburn P. The theory of utility for decision-making. – M.: Science, 1978. – 352 ~ c. 10 Methods of teaching A comparative, problematic, dialog-heuristic, visual, method of forming the personal significance of knowledge 11 Language of teaching Russian 12 Knowledge control and requirements Tests, examination mark takes into account running tests marks (coefficient 0.3) 13 Certification form Examination