APPLICATION OF MATHEMATICAL METHODS IN ECONOMICS: SPECIFICS, ISSUES, PROSPECTS

Abstract

The development of economic research in the 20th century and the gradual aggregation of various fields of scientific research caused complications of economic models and the transition to the use of mixed types of economic-mathematical and economic-statistical. The penetration of the mathematical apparatus into the economy has created a basis for the development and development of methods of economic analysis, econometrics, mathematical programming, and economic statistics. Today, the interpenetration of various branches of knowledge and, in particular, the application of mathematical methods in the natural, social, and economic sciences continues. Among the mathematical processing methods used are polynomial, linear, quadratic, trigonometric, exponential and combined dependencies, differential and algebraic equations. Statistical processing from the assessment of the structure and dynamics of the phenomenon went in the direction of correlation analysis and forecasting. Many scientists and researchers talk about the deep penetration of mathematics into specific sciences and the success that is obtained through a combination of methods from various branches of knowledge. The possibilities of applying mathematics today are increasingly being studied in areas of knowledge where phenomena are poorly structured and highly complex systems-sociology, economics, management, and political science. The article identifies problems and limitations that arise when applying mathematical methods in economic research. Defined measures to ensure adequate development of economic and mathematical models from the perspective of approaches to their building, improved management processes, better training in economic fields.

Keywords

simulations; history of economic and nomadic thought; mathematics; mathematical methods in economics; mathematical models; economic and mathematical methods

References

Blaug M. The Methodology of Economics: Or, How Economists explain. Cambridge University Press, 1992. 314 p.

Vitlinsky V.V. Modelirovanie ekonomiki [Modeling the economy]: a textbook. Kyiv: KNEU, 2003. 408 p. (In Belarusian).

Ivashevsky L.I. Filosofskie voprosy geologii (dialektika geologicheskogo znaniya) [Philosophical Issues of Geology (dialectics of geological knowledge)]. Novosibirsk: Science, 1979. 208 p. (In Russ.).

Kobelev N.B. Praktika primeneniya ekonomiko-matematicheskikh metodov i modeley [Practical application of economic & mathematical methods and models]. Training manual. M.: CJSC ‘Finstatinform’, 2000. 248 p. (In Russ.).

Kolichestvennye metody v ekonomicheskikh issledovaniyakh [Quantitative methods in economic studies]: Textbook for higher education institutions / Ed. M.V. Gracheva, L.N. Fadeyeva & Yu.N. Cheremnykh. M.: UNITI-DANA, 2004. 791 p. (In Russ.).

Kokhanovsky V.P. Filosofiya i metodologiya nauki [Philosophy and methodology of science]: Textbook for higher education institutions. Rostov n/D: ‘Phoenix’, 1999. 576 p. (In Russ.).

Kryukova T.V. O vozmozhnosti primeneniya matematicheskikh metodov v zadachakh konfliktologii [On the possibility of applying mathematical methods in the problems of conflictology] // Conflictology: Theory and Practice. 2004. No. 2 (3). pp. 42-49. (In Russ.).

Mayburd E.M. Vvedenie v istoriyu ekonomicheskoi mysli. Ot prorokov do professorov [Introduction to the History of Economic Thought. From Prophets to Professors]. M.: Delo, Vita-Press, 1996. 544 p. (In Russ.).

Myasoedov A.I. & Ivanova S.P. Neformal’naya ekonomika: statisticheskiy analiz v evropeiskikh stranakh [Informal economy: statistical analysis in European countries] // Economy. Informatics. 2020. No. 47 (1). pp. 23-30. (In Russ.).

Myasoedov A.I. The nature of financial cycles and their role in the development of crisis processes on the example of Ukraine // Research Result. Economic Research. 2020. Vol. 6. No. 1. pp. 24-34. (In Russ.).

Pavlovsky Yu.N., Belotelov N.V., Brodsky Yu.I. & Olenev N.N. Opyt imitatsionnogo modelirovaniya pri analize sotsial’no-ekonomicheskikh yavleniy [Experience of simulation in analysis of social & economic phenomena]. M.: MZ Press, 2005. 136 p. (In Russ.).

Plotinsky Yu.M. Modeli sotsial’nykh protsessov [Models of Social Processes]: Teaching Manual for higher educational institutions. M.: Logos, 2001. 296 p. (In Russ.).

Stolyarov I.A. Matematika i kibernetika v upravlenii [Mathematics and Cybernetics in management]. M.: ‘Economics’, 1973. 79 p. (In Russ.).

Kholikova G.M. Target programs as a tool of state and municipal regulation // Bulletin of Science and Practice. 2018. Vol. 4. No. 12. pp. 404-408. (In Russ.).

Abul Naga R., Stapenhurst Chr. & Yalonetzky G. Asymptotic Versus Bootstrap Inference for Inequality Indices of the Cumulative Distribution Function // Econometrics. 2020. No. 8 (1).

Boczoń M. & Richard J.-F. Balanced Growth Approach to Tracking Recessions // Econometrics. 2020. No. 8 (2).

Gupta R. & Makena P. Growth Dynamics, Multiple Equilibria, and Local Indeterminacy in an Endogenous Growth Model of Money, Banking and Inflation Targeting // Economies. 2020. No. 8 (1).

About the Author

Alexey I. Myasoedov – Lead Specialist, State Budgetary Institution of Moscow ‘Multifunctional centers of providing the state services of Moscow city’, Moscow, Russia. E-mail: retvil@mail.ru. SPIN РИНЦ 8197-6635

For citation:
Myasoedov A.I. Application of Mathematical Methods in Economics: Specifics, Issues, Prospects // BENEFICIUM. 2020. No. 3 (36). pp. 35-47. (In Russ.). DOI: http://doi.org/10.34680/BENEFICIUM.2020.3(36).35-47