Mathematical modelling economy

Mathematical modelling economy

Автор: Mokhov V.G.

Журнал: Вестник Южно-Уральского государственного университета. Серия: Математическое моделирование и программирование @vestnik-susu-mmp

Рубрика: Обзорные статьи

Статья в выпуске: 1 т.16, 2023 года.

Бесплатный доступ

The article presents an overview of the main methods of economic modelling used in scientific research over the past twenty years. This overview does not claim to cover all areas, methods and models used in scientific research in the field of economics, since it is impossible to do within a single article. We consider mathematical modelling of only two branches of economic theory: macroeconomics and microeconomics. At the same time, we present no literature review of methods and models of research in the section of microeconomics, which take place in the tools of scientific research, but were described in the section of macroeconomics. We believe that this review is useful to scientists engaged in the indirect study of economic phenomena and processes.

Еще

Modelling, model, macroeconomics, microeconomics, sources, review

Короткий адрес: https://sciup.org/147240857

IDR: 147240857   |   DOI: 10.14529/mmp230101

Список литературы Mathematical modelling economy

  • Koshkin G., Kitayeva A. Nonparametric Identification of Static and Dynamic Production Functions. International Journal of Applied Mathematics, 2011, vol. 41, no. 3, pp. 228-234.
  • Suvorov N.V., Akhunov R.R., Gubarev R.V., et al. Applying the Cobb-Douglas Production Function for Analysing the Region's Industry. Economy of Region, 2020, vol. 16, no. 1, pp. 187-200.
  • Guilhoto J.M. Input-Output Analysis: Theory and Foundations. Munich Personal RePEc Archive, 2011, vol. 72, article ID: 32566, 22 p.
  • Akhabbar A. The Case Against Indirect Statistical Inference. History of Political Economy, 2021, vol. 53, pp. 259-292. DOI: 10.1215/00182702-9414874
  • Busato M.I., Reif A.C., Possas M.L. Uma Tentativa de integracao entre Keynes e Kalecki: investimento e dinamica. Brazilian Journal of Political Economy, 2019, vol. 39, no. 3, pp. 509-526. (in Portuguese) DOI: 10.1590/0101-35172019-2909
  • Bruun C. Rediscovering the Economics of Keynes in an Agent-Based Computational Setting. New Mathematics and Natural Computation, 2016. vol. 12, no. 2, pp. 77-96. DOI: 10.1142/S1793005716500071
  • Myagotina E.D., Tregub I.V. Application of the Samuelson-Hicks Model in the Conditions of Modern Economy Case of Bhutan. The World Economics, 2021, vol. 5, pp. 404-413. DOI: 10.33920/ vne-04-2105-06
  • Ovchinnikov A.V. On the Behavior of Solutions of a Modified Samuelson-Hicks Model with Two Accelerators. Journal of Mathematical Sciences, 2016, vol. 216, no. 5, pp. 722-724. DOI: 10.1007/s10958-016-2934-7
  • Miernyk W.H. Leontief and Dynamic Regional Models. Wassily Leontief And Input-Output Economics, 2004, pp. 90-101. DOI: 10.1017/CB09780511493522.007
  • Kurz H.D., Salvadori N. The Dynamic Leontief Model and the Theory of Endogenous Growth. Economic Systems Research, 2000, vol. 12, no. 2, pp. 255-265. DOI: 10.1080/09535310050005734
  • Heikkinen T. A Study of Degrowth Paths Based on the von Neumann Equilibrium Model. Journal of Cleaner Production, 2020, vol. 251, article ID: 119562, 11 p. DOI: 10.1016/j.jclepro.2019.119562
  • Detemple J., Rindisbacher M. Dynamic Asset Allocation: Portfolio Decomposition Formula and Applications. Review of Financial Studies, 2010, vol. 23, no. 1, pp. 25-100. DOI: 10.1093/rfs/hhp040
  • Jancarik A. Dynamic Models. European Conference on e-Learning, 2015, pp. 264-271. DOI: 10.4324/9781351032148-3
  • Piiroinen P.T., Raghavendra S. A Nonsmooth Extension of Samuelson's Multiplier-Accelerator Model. International Journal of Bifurcation and Chaos, 2019, vol. 29, no. 10, article ID: 1930027, 15 p. DOI: 10.1142/S0218127419300271
  • Dassios I.K., Zimbidis A.A., Kontzalis C.P. The Delay Effect in a Stochastic Multiplier-Accelerator Model. Journal of Economic Structures, 2014, vol. 3, no. 1, article ID: 7, 15 p. DOI: 10.1186/s40008-014-0007-y
  • Grigorenko N., Lukyanova L. Optimal Control and Positional Controllability in a One-Sector Economy. Games, 2021, vol. 12, no. 1, pp. 1-12. DOI: 10.3390/g12010011
  • Loschenbrand M. A Transmission Expansion Model for Dynamic Operation of Flexible Demand. International Journal of Electrical Power and Energy Systems, 2021, vol. 124, article ID: 106252, 14 p. DOI: 10.1016/j.ijepes.2020.106252
  • Buzsaki G., Draguhn A. Neuronal Olscillations in Cortical Networks. Science, 2004, vol. 304, pp. 1926-1929. DOI: 10.1126/science.1099745
  • Roy S., Rana D. Machine Learning in Nonlinear Dynamical Systems. Resonance, 2021, vol. 26, no. 7, pp. 953-970. DOI: 10.1007/s12045-021-1194-0
  • Mutanov G. Mathematical Methods and Models in Economic Planning, Management and Budgeting. New York, Springer, 2014. DOI: 10.1007/978-3-662-45142-7
  • Grassetti F., Guzowska M., Michetti E. A Dynamically Consistent Discretization Method for Goodwin Model. Chaos, Solitons and Fractals, 2020, vol. 130, article ID: 109420, 9 p. DOI: 10.1016/j.chaos.2019.109420
  • Eichmeir P., Nachbagauer K., Lauf T. et al. Time-Optimal Control of Dynamic Systems Regarding Final Constraints. Journal of Computational and Nonlinear Dynamics, 2021, vol. 16, no. 3, article ID: 031003, 12 p. DOI: 10.1115/1.4049334
  • Arutyunov A.V., Karamzin D.Y., Pereira F. Pontryagin's Maximum Principle for Constrained Impulsive Control Problems. Nonlinear Analysis, Theory, Methods and Applications, 2012, vol. 75, no. 3, pp. 1045-1057. DOI: 10.1016/j.na.2011.04.047
  • Brock W.A., Taylor M.S. The Green Solow model. Journal of Economic Growth, 2010, vol. 15, no. 2, pp. 127-153. DOI: 10.1007/s10887-010-9051-0
  • Dombi M. The Golden Rule of Material Stock Accumulation. Environmental Development, 2022, vol. 41, article ID: 100638, 11 p. DOI: 10.1016/j.envdev.2021.100638
  • Mahroji D., Indrawati M. Analisis sektor unggulan dan spesialisasi regional kota bandar lampung. Jurnal Ekobis: Ekonomi Bisnis and Manajemen, 2020, vol. 9, no. 1, pp. 1-8. (in Indonesian) DOI: 10.37932/j.e.v9i1.44
  • Wei-Bin Zhang. A Three-Sector Spatial Growth Model of a Small Open Economy with Capital Accumulation. Journal of Economic Integration, 2009, vol. 24, no. 2, pp. 248-274. DOI: 10.11130/jei.2009.24.2.248
  • Songtao Li, Ruoran Chen, Lijian Yang et al. Predictive Modeling of Consumer Color Preference: Using Retail Data and Merchandise Images. Journal of Forecasting, 2020, vol. 39, no. 8, pp. 1305-1323. DOI: 10.1002/for.2689
  • Jisana T.K. Consumer Behaviour Models: an Overview. Journal of Commerce and Management, 2014, vol. 1, no. 5, pp. 34-43.
  • Martynenko A.V., Vikharev S.V. A Firm Model with Strict Regulation and Management Influence on Profit. Mathematical Notes of NEFU, 2020, vol. 27, no. 2, pp. 39-53. DOI: 10.25587/SVFU.2020.56.60.003
  • Junlong Chen, Xiaomeng Wang, Jiali Liu. Corporate Social Responsibility and Capacity Sharing in a Duopoly Model. Applied Economics Letters, 2021, vol. 28, no. 6, pp. 512-517. DOI: 10.1080/13504851.2020.1761531
  • Baqaee D.R., Farhi E. The Microeconomic Foundations of Aggregate Production Functions. NBER Working Paper, 2019, article ID: 25293. Available at: http://www.nber.org/papers/w25293.pdf (accessed on 24.11.2022)
  • Deride J., Jofre A., Wets R.J. Solving Deterministic and Stochastic Equilibrium Problems via Augmented Walrasian. Computational Economics, 2019, vol. 53, no. 1, pp. 315-342. DOI: 10.1007/s10614-017-9733-1
Еще
Статья обзорная
QR-код для установки приложения SciUp Наведите камеру и скачайте бесплатное приложение SciUp