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A Review of Mathematical Models of Macroeconomics, Microeconomics, and Government Regulation of the Economy

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  • Veniamin Mokhov

    (Department of Digital Economy and Information Technology, School of Economics and Management, South Ural State University, 76 Prospekt Lenina, 454080 Chelyabinsk, Russia)

  • Sergei Aliukov

    (Department of Automotive Engineering, Institute of Engineering and Technology, South Ural State University, 76 Prospekt Lenina, 454080 Chelyabinsk, Russia)

  • Anatoliy Alabugin

    (Department of Digital Economy and Information Technology, School of Economics and Management, South Ural State University, 76 Prospekt Lenina, 454080 Chelyabinsk, Russia)

  • Konstantin Osintsev

    (Department of Energy and Power Engineering, Institute of Engineering and Technology, South Ural State University, 76 Prospekt Lenina, 454080 Chelyabinsk, Russia)

Abstract

This review analyzes articles on the mathematical modeling of economic facts and processes. Mathematical modeling of the economy has rapidly developed in the past and current centuries. This is explained by the fact that, firstly, economics does not tolerate full-scale experiments, secondly, mathematical modeling significantly improves the accuracy of research results, and, finally, thirdly, economics becomes a science only when it is based on mathematics. The article presents an overview of the main methods of economic modeling used in scientific research over the past twenty years. The review does not claim to cover all areas, methods, and models used in scientific research in the field of economics. This cannot be done in one article. Mathematical modeling of only three sections of economic theory is considered: macroeconomics, microeconomics, and state regulation of the economy. The review of research methods and models in the microeconomics section, which are available in the scientific research toolkit but have already been described in the macroeconomics section, has been omitted. Only effective, practice-tested models are used in the Review. We hope that this review will be useful to scientists involved in the indirect study of economic phenomena and processes.

Suggested Citation

  • Veniamin Mokhov & Sergei Aliukov & Anatoliy Alabugin & Konstantin Osintsev, 2023. "A Review of Mathematical Models of Macroeconomics, Microeconomics, and Government Regulation of the Economy," Mathematics, MDPI, vol. 11(14), pages 1-37, July.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3246-:d:1201119
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    References listed on IDEAS

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    1. Julio Deride & Alejandro Jofré & Roger J-B Wets, 2019. "Solving Deterministic and Stochastic Equilibrium Problems via Augmented Walrasian," Computational Economics, Springer;Society for Computational Economics, vol. 53(1), pages 315-342, January.
    2. William Brock & M. Taylor, 2010. "The Green Solow model," Journal of Economic Growth, Springer, vol. 15(2), pages 127-153, June.
    3. Margarida Madaleno & Max Nathan & Henry Overman & Sevrin Waights, 2022. "Incubators, accelerators and urban economic development," Urban Studies, Urban Studies Journal Limited, vol. 59(2), pages 281-300, February.
    4. Junlong Chen & Xiaomeng Wang & Jiali Liu, 2021. "Corporate social responsibility and capacity sharing in a duopoly model," Applied Economics Letters, Taylor & Francis Journals, vol. 28(6), pages 512-517, March.
    5. Misbah Sadiq & Muhammad Usman & Aysha Zamir & Malik Shahzad Shabbir & Ankasha Arif & David McMillan, 2021. "Nexus between economic growth and foreign private investment: Evidence from Pakistan economy," Cogent Economics & Finance, Taylor & Francis Journals, vol. 9(1), pages 1956067-195, January.
    6. Grassetti, F. & Guzowska, M. & Michetti, E., 2020. "A dynamically consistent discretization method for Goodwin model," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    7. Zhang, Wei-Bin, 2009. "A Three-Sector Spatial Growth Model of a Small Open Economy with Capital Accumulation," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 24, pages 248-274.
    8. Satoshi Kanazawa, 2004. "The Savanna Principle," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 25(1), pages 41-54.
    9. Charlotte Bruun, 2016. "Rediscovering the Economics of Keynes in an Agent-Based Computational Setting," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 77-96, July.
    10. Sek, Siok Kun, 2017. "Impact of oil price changes on domestic price inflation at disaggregated levels: Evidence from linear and nonlinear ARDL modeling," Energy, Elsevier, vol. 130(C), pages 204-217.
    11. Leland E. Farmer, 2021. "The discretization filter: A simple way to estimate nonlinear state space models," Quantitative Economics, Econometric Society, vol. 12(1), pages 41-76, January.
    12. Paul Welfens, 2015. "Innovation, inequality and a golden rule for growth in an economy with Cobb-Douglas function and an R&D sector," International Economics and Economic Policy, Springer, vol. 12(4), pages 469-496, October.
    13. Heinz Kurz & Neri Salvadori, 2000. "The Dynamic Leontief Model and the Theory of Endogenous Growth," Economic Systems Research, Taylor & Francis Journals, vol. 12(2), pages 255-265.
    14. Jérome Detemple & Marcel Rindisbacher, 2010. "Dynamic Asset Allocation: Portfolio Decomposition Formula and Applications," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 25-100, January.
    15. Jean-Daniel Kant & Gérard Ballot & Olivier Goudet, 2020. "WorkSim: An Agent-Based Model of Labor Markets," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 23(4), pages 1-4.
    16. Ren, Jing & Sun, Hao & Xu, Genjiu & Hou, Dongshuang, 2023. "Convergence of output dynamics in duopoly co-opetition model with incomplete information," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 209-225.
    17. Nikolai Grigorenko & Lilia Luk’yanova, 2021. "Optimal Control and Positional Controllability in a One-Sector Economy," Games, MDPI, vol. 12(1), pages 1-12, February.
    18. Franz Gehrels, 2012. "Optimizing International Investment and Trade Under Golden Rule Conditions," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 40(2), pages 127-131, June.
    19. Christopher M Wray & Steven R Bishop, 2016. "A Financial Market Model Incorporating Herd Behaviour," PLOS ONE, Public Library of Science, vol. 11(3), pages 1-28, March.
    20. Teboho Jeremiah Mosikari & Joel Hinaunye Eita, 2020. "Modelling Asymmetric Relationship between Exports and Growth in a Developing Economy: Evidence from Namibia," Economic Development and Well-being Research Group Working Paper Series edwrg-02-2020, University of Johannesburg, College of Business and Economics, revised 2020.
    21. Cafferata, Alessia & Tramontana, Fabio, 2019. "A financial market model with confirmation bias," Structural Change and Economic Dynamics, Elsevier, vol. 51(C), pages 252-259.
    22. Galimkair Mutanov, 2015. "Mathematical Methods and Models in Economic Planning, Management and Budgeting," Springer Books, Springer, edition 2, number 978-3-662-45142-7, September.
    23. Songtao Li & Ruoran Chen & Lijian Yang & Dinglong Huang & Simin Huang, 2020. "Predictive modeling of consumer color preference: Using retail data and merchandise images," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 39(8), pages 1305-1323, December.
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    Cited by:

    1. Kyriaki Tsilika, 2023. "Exploring the Contributions to Mathematical Economics: A Bibliometric Analysis Using Bibliometrix and VOSviewer," Mathematics, MDPI, vol. 11(22), pages 1-21, November.

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