DETERMINING ECONOMIC PROCESSES USING A MATHEMATICAL MODEL
Authors
Omonov A. T. ()Files
Abstract
This article examines the role of mathematical modeling in determining, interpreting, and forecasting economic processes. The study focuses on the use of functional relationships, statistical indicators, dynamic models, optimization methods, and regression-based approaches in the analysis of economic systems. Economic processes such as production, consumption, investment, inflation, market demand, resource allocation, and enterprise efficiency are complex phenomena influenced by numerous internal and external factors. Mathematical models make it possible to simplify these processes without losing their essential logic, identify hidden dependencies, and support evidence-based decision-making. The article emphasizes that in the context of higher economic education, mathematical modeling is not only a technical instrument but also a methodological basis for developing analytical thinking among students. The research highlights the relevance of mathematical models for the economic development of Uzbekistan, where digital transformation, market modernization, and institutional reforms require more accurate analytical tools. The results show that mathematical modeling helps evaluate economic trends, compare alternative scenarios, reduce uncertainty, and increase the scientific validity of managerial decisions. The article concludes that the integration of mathematical methods into economic analysis strengthens the connection between theory and practice and improves the quality of professional training in economic universities.
References
1.Allen, R. G. D. (1967). Mathematical economics. Macmillan.
2.Arrow, K. J., & Debreu, G. (1954). Existence of an equilibrium for a competitive economy. Econometrica, 22(3), 265–290.
3.Chiang, A. C., & Wainwright, K. (2005). Fundamental methods of mathematical economics (4th ed.). McGraw-Hill.
4.Debreu, G. (1959). Theory of value: An axiomatic analysis of economic equilibrium. Yale University Press.
5.Dixit, A. K. (1990). Optimization in economic theory (2nd ed.). Oxford University Press.
6.Dowling, E. T. (2011). Introduction to mathematical economics (3rd ed.). McGraw-Hill.
7.Gujarati, D. N., & Porter, D. C. (2009). Basic econometrics (5th ed.). McGraw-Hill.
8.Henderson, J. M., & Quandt, R. E. (1980). Microeconomic theory: A mathematical approach (3rd ed.). McGraw-Hill.
9.Intriligator, M. D. (1971). Mathematical optimization and economic theory. Prentice Hall.
10.Kantorovich, L. V. (1960). Mathematical methods of organizing and planning production. Management Science, 6(4), 366–422.
11.Luenberger, D. G. (1998). Investment science. Oxford University Press.
12.Mankiw, N. G. (2021). Principles of economics (9th ed.). Cengage Learning.
13.Mas-Colell, A., Whinston, M. D., & Green, J. R. (1995). Microeconomic theory. Oxford University Press.
14.Miller, R. E., & Blair, P. D. (2009). Input-output analysis: Foundations and extensions (2nd ed.). Cambridge University Press.
15.Nerlove, M. (1958). The dynamics of supply: Estimation of farmers’ response to price. Johns Hopkins Press.
16.Samuelson, P. A. (1947). Foundations of economic analysis. Harvard University Press.
17.Shone, R. (2002). Economic dynamics: Phase diagrams and their economic application (2nd ed.). Cambridge University Press.
18.Simon, C. P., & Blume, L. (1994). Mathematics for economists. W. W. Norton & Company.
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