MATHEMATICAL TOOLS IN ECONOMIC RESEARCH: CONCEPTUAL TRANSFORMATIONS IN THE PERIOD OF PARADIGMAL CHANGES |
|||||
Author |
Filatova L. D., Ph. D., (Mathematics and Physics), Kharkiv, Peremohy, 55 KORZHOVA O. V., Senior Lecturer, Ukraine, Kharkiv |
||||
In heading |
Economic theory; | ||||
Signed print |
24.09.2021 | Issues number |
2021-№3 (46) | Page |
73-88 |
Type of articles |
Scientific article | Code UDK |
330.4:005.591.4 | ISSN print |
2411-5584 |
Abstract |
The article considered the process of evolution and prospects of mathematical methods and models in economic research. The advantages and disadvantages of mathematical formalization in the conditions of the new economic paradigm are analyzed. The necessity of searching for fundamentally new scientific approaches capable of ensuring the adequacy of economic and mathematical models in the study of modern socio-economic systems is substantiated. The prospects of the synergetic direction as a basic direction in modern economic and mathematical modeling are revealed. It is shown that its further development requires the use of the latest mathematical tools. The classification of mathematical methods and models that need to be included in the synergetic direction of economic research is given. | ||||
Keywords |
mathematical methods and models, mathematical formalization, economic research, economic paradigm, synergetic direction of research. | ||||
Reviewer |
|||||
External reviewer |
|||||
Article in PDF |
73-88 | ||||
Bibliography |
Bazylevych, V. D., & Yl’yn, V. V. (2010). Metafyzyka ekonomyky [Metaphysics of Economics]. Kyiv: Znannia [in Ukrainian]. Berezhnaja, E. V., & Berezhnoj, V. I. (2007). Matematicheskie metody modelirovanija ekonomicheskih sistem [Mathematical methods for modeling economic systems]. Moskva: Finansy i statistika [in Russian]. Borovska, T. M. (2018). Matematychni modeli funktsionuvannia i rozvytku vyrobnychykh system na bazi metodolohii optymalnoho ahrehuvannia [Mathematical models of functioning and development of production systems based on the methodology of optimal aggregation]. Vinnytsia: VNTU [in Ukrainian]. Bronytska, V. V. (2019). Ryzyky ta problemy stanovlennia novoi ekonomichnoi paradyhmy [Risks and problems of formation of a new economic paradigm]. In Theoretical and methodological transformations of economics in the 21st century: prospects for a new paradigm. Proceedings of the All-Ukrainian scientific-practical conference. Kyiv, 2019, May 28–29. DOI: https://doi.org/10.31617/k.knute.2019‑05‑29.01 [in Ukrainian]. Cherniak, O. I., & Zakharchenkо, P .V. (2018). Prykladni aspekty prohnozuvannia rozvytku ekonomiky Ukrainy [Applied aspects of forecasting the development of Ukraine’s economy]. Melitopol [in Ukrainian]. Derbentsev, V. D. (2010). Synerhetychni ta ekonofizychni metody doslidzhennia dynamichnykh ta strukturnykh kharakterystyk ekonomichnykh system [Synergetic and econophysical methods of research of dynamic and structural characteristics of economic systems]. Cherkasy: Brama-Ukraine [in Ukrainian]. Fadieieva, I. H. (2014). Osnovni napriamy udoskonalennia biznes protsesiv ta suchasna metodolohiia yikh modeliuvannia ta rehlamentatsii na zasadakh nechitkoi lohiky [Main directions of impro vement of business processes and modern methodology of their modeling and regulation on the basis of fuzzy logic]. Ekonomika i derzhava – Economy and state, 11, 11–18 [in Ukrainian]. Haken, G. (2005). Informatsiya i samoorganizatsiya. Makroskopicheskiy podhod k slojnyim yavleniyam [Information and self-organization. Macroscopic approach to complex phenomena]. Moskva: KomKniga [in Russian]. Hrytsenko, A. A. (2018). Ekonomichna osvita: shliakh vid teorii do praktyky [Economic education: the path from theory to practice]. Ekonomika Ukrainy – Ukraine economy, 10 (683), 53–70 [in Ukrainian]. Hrytsenko, A. A. (2019). Hlobalna nestabilnist sotsialno ekonomichnoi dynamiky yak obiektyvne pidhruntia paradyhmalnykh zrushen v ekonomichnii nautsi [Global instability of socio-economic dynamics as an objective basis of paradigmal shifts in economic science]. In Theoretical and methodological transformations of economics in the 21st century: prospects for a new paradigm. Proceedings of the All-Ukrainian scientific-practical conference. Kyiv, 2019, May 28–29. DOI: https://doi.org/10.31617/k.knute.2019‑05‑29.01 [in Ukrainian]. Kantorovich, A. V. (2010). O sostojanii i zadachah jekonomicheskoj nauki [On the state and tasks of economic science]. Moskva: Nauka [in Russian]. Kapica, S. P., Kurdjumov, S. P., & Malineckij, G. G. (2003). Sinergetika i prognozyi buduschego [Synergetics and forecasts of the future]. Moskva: Editorial [in Russian]. Kniazevych, A. O., Kraichuk, O. V., Kraichuk, S. O., & Strilchuk, R. M. (2019). Upravlinnia innovatsiinym rozvytkom pidpryiemstv na osnovi teorii synerhetyky [Management of the innovative development of enterprises on the basis of the theory of synergetics]. Efektyvna ekonomika – Efficient economy, 3. DOI: https://doi.org/10.32702/2307‑2105‑2019.3.9 [in Ukrainian]. Kolomiiets, S. V. (2020). Katehorii synerhetyky v ekonomichnykh doslidzhenniakh: neliniinist sotsialno-ekonomichnykh system [Categories of synergetics in economic research: nonlinearity of socio-economic systems]. Vcheni zapysky TNU imeni V. I. Vernadskoho. Seriia: Ekonomika i upravlinnia – Scientific notes of TNU named after V. I. Vernadsky. Series: Economics and Management, vol. 31 (70), No 3, 191–197. DOI: https://doi.org/10.32838/2523-4803/70‑3‑66 [in Ukrainian]. Krugman, Р. (2018). Economics. Worth Publishers. New York, USA. Kuznecov, B. V. (2020). Sinergeticheskij menedzhment – upravlenie proryvami [Synergetic management as breakthrough management]. Retrieved from http://spkurdyumov.ru/forecasting/ sinergeticheskij-menedzhment/ [in Russian]. Leont’ev, V. V (1990). Ekonomicheskie esse: teorii, issledovaniya, fakty i politika [Economic Essays: Theory, Research, Facts, and Politics]. Moskva: Politizdat [in Russian]. Lo, E. (2018). Adaptyvni rynky. Finansova evoliutsiia na shvydkosti dumky [Adaptive markets. Financial evolution on the speed of thought]. Kyiv: Fors Ukraina [in Ukrainian]. Mazaraki, A. A. (2019). Potentsial paradyhmalnykh ta kontseptualnykh zmin v ekonomichnii nautsi XXI stolittia [Potential of paradigmal and conceptual changes in economic science of the XXI century]. In Theoretical and methodological transformations of economics in the 21st century: prospects for a new paradigm. Proceedings of the All- Ukrainian scientific-practical conference. Kyiv, 2019, May 28–29. DOI: https://doi.org/10.31617/k.knute.2019‑05‑29.01 [in Ukrainian]. Nemchinov, V. S. (1965). Ekonomiko-matematicheskie metodyi i modeli [Economic mathematical methods and models]. Moskva: Myisl [in Russian]. Polovtsev, O. V. (2010). Metody modeliuvannia dynamiky sotsialnoekonomichnykh system [Methods of modeling the dynamics of socioeconomic systems]. Visnyk NADU. Seriia: Derzhavne upravlinnia –NAPA Bulletin. Series: Public Administration, 1, 105–111 [in Ukrainian]. Peters, Je. (2004). Fraktal’nyj analiz finansovyh rynkov. Primenenie teorii haosa v investicijah i jekonomike [Fractal analysis of financial markets. Application of chaos theory in investment and economics]. Moskva: Internet-trejding [in Russian]. Petti, W. (1940). Ekonomicheskie i statisticheskie raboty [Economic and statistical works]. Moskva: Socekgiz [in Russian]. Piddubna, H. K. (2017). Zastosuvannia kerovanosti liniinykh dyferentsialnykh rivnian iz zapiznenniam v ekonomitsi [Application of contro llability of linear differential equations with delay in economy]. Prychornomorski ekonomichni studii – Black Sea Economic Studies, 131, 184–187 [in Ukrainian]. Rosser, J. Barkley. (2003). Weintraub on the Evolution of Mathematical Economics: A Review Essay. Journal of Post Keynesian Economics, 25 (4), 575–589. Samoilenko, A. M. (2015). Matematychne modeliuvannia [Mathematical modeling]. NAN Ukrainy, In-t matematyky. Kyiv: Naukova dumka [in Ukrainian]. Shyhun, M. M. (2007). Zastosuvannia matematychnykh metodiv v ekonomitsi: spetsyfika, problemy, perspektyvy [Application of mathematical methods in the economy: specifics, problems, perspectives]. Visnyk ZhDTU. Seriia: Ekonomichni nauky – Bulletin of ZhSTU. Series: Economic Sciences, 1 (39), 425–433 [in Ukrainian]. Soloviov, V. M. (2015). Modeliuvannia skladnykh system [Modeling of complex systems]. Cherkasy: Brama [in Ukrainian]. Taleb, N. N. (2007). The black swan: the impact of the highly improbable. Random House, New York, USA. Tarasevych, V. M. (2018). Problematyka istyny u svitovii ekonomichnii nautsi [The problem of truth in world economic science]. Ekonomika Ukrainy – Ukraine economy, 10 (683), 88–99 [in Ukrainian]. Umantsiv, Yu. M. (2019). Ekonomichna teoriia u novitnomu metodolohichnomu dyskursi [Economic theory in the latest methodological discourse]. Visnyk KNTEU – Bulletin of KNTEU, 2 (124), 51–63 [in Ukrainian]. Vitlinskyi, V. V., & Skitsko, V. I. (2013). Evoliutsiine modeliuvannia v protsesakh pryiniattia rishen [Evolutionary modeling in decision making processes]. Aktualni problemy ekonomiky – Current economic problems, 1, 187–201 [in Ukrainian]. Vlasiuk, O. S. (2011). Ekonomiko-matematychne modeliuvannia protsesiv sotsialnoekonomichnoho rozvytku Ukrainy [Economic and mathematical modeling of the processes of socio-economic development of Ukraine]. Kyiv: DNNU «Akad. fin. Upravlinnia» [in Ukrainian]. Weintraub, Е. Rоу. (2002). How Economics Became a Mathematical Science. Durham, NC: Duce University Press. Yakimtsov, V. V. (2018). Synerhetychni doslidzhennia v ekonomitsi: problemy ta perspektyvy: monohrafiia [Synergetic research in economics: problems and prospects: a monograph]. Lviv: Panorama [in Ukrainian]. Zang, W.‑B. (1999). Sinergeticheskaja jekonomika. Vremja i peremeny v nelinejnoj jekonomicheskoj teorii [Synergetic Economics: Time and Change in Nonlinear Economics]. Moskva: Mir [in Russian]. |
||||
Code DOI |
10.31359/2411‑5584‑2021‑46‑3‑73 |
This work is licensed under a Creative Commons –Attribution 4.0 International (CC BY 4.0).
This post is also available in: Ukrainian
29.09.2021