BSU bulletin
Mathematics, Informatics
LoginРУСENG

BSU bulletin. Mathematics, Informatics

Bibliographic description:
Dyrkheev K. P.
,
Khishektueva I. D.
A MODEL OF BALANCED GROWTH FOR INTERINDUSTRY ECONOMY OF THE REGION // BSU bulletin. Mathematics, Informatics. - 2020. №1. . - С. 54-66.
Title:
A MODEL OF BALANCED GROWTH FOR INTERINDUSTRY ECONOMY OF THE REGION
Financing:
Codes:
DOI: 10.18101/2304-5728-2020-1-54-66UDK: 519.868
Annotation:
The article considers an extended version of a closed dynamic input-output model of the region in a discrete formulation. Based on real data of the developed input- output base table for the Republic of Buryatia we have formed norm coefficients for input-output model by aggregation.

The dependence of the variables of final consumer demand on household income and the gross output vector is modeled. The resulting square specific household con- sumption matrix is combined with a non-degenerate matrix of direct production cost coefficients. The “integral” matrix is productive and non-degenerate, and the inverse matrix for it represents the total combined costs in the regional economy.

We have estimated the coefficients of marginal capital-output ratio for establishing the vector of industrial investments. By multiplying the inverse matrix of total costs with the special matrix of marginal capital-output ratio, we obtain a closed model of dynamic input-output balance. As a result of solving the obtained characteristic equa- tion the balanced growth rate of production and the eigenvector of gross output of the certain structure are identified. It is possible to determine a balanced growth path of the regional interindustry economy for various scales of products and services.
Keywords:
dynamic input-output model; matrix of capital-output ratio; matrix of direct and total costs; specific consumption matrix; balanced growth path.
List of references:
Analiz i prognozirovanie razvitiya ekonomiki Respubliki Buryatiya [Analysis and Forecasting of the Economic Development of the Republic of Buryatia]. Ulan- Ude: BSC SB RAS Publ., 2019. 204 p.

Granberg A.G. Osnovy regionalnoi ekonomiki [Fundamentals of the Regional Economy]. Moscow: Higher School of Economics Publ., 2000. 495 p.

Baranov A.O., Dondokov Z. B.-D., Dyrkheev K. P., Pavlov V. N, Suslov V. I. Metodicheskie problemy formirovaniya informatsionnoi bazy dinamicheskoi mezhotraslevoi modeli ekonomiki Respubliki Buryatiya [Methodological Problems of Building the Information Base for a Dynamic Input-Output Economic Model of the Republic of Buryatia]. Regional Research of Russia. 2016. No. 4(92). Pp. 47–68.





ВЕСТНИК БГУ. МАТЕМАТИКА, ИНФОРМАТИКА 2020/1







image







Baranov A. O., Pavlov V. N. Postroenie i ispolzovanie v analize i prognoziro- vanii dinamicheskikh mezhotraslevykh modelei [Creation and Use of Dynamic Input- Output Models in Analysis and Forecasting]. Novosibirsk, 2013. 166 p.

Dondokov Z. B.-D., Dyrkheev K. P. Metodika provedeniya analiti- cheskikh i prognoznykh raschetov sotsialno-ekonomicheskogo razvitiya regiona na osnove mezhotraslevoy modeli [Methodology for Performing Analytical and Fore- casting Calculations of the Regional Socio-Economic Deve- lopment Based on the Input-Output Model]. Vestnik Buryatskogo gosudarstvennogo universiteta. Ekonomika. Pravo. 2014. No. 2. Pp. 37–39.

Dondokov Z. B.-D., Dyrkheev K. P. Opyt mezhotraslevogo modelirovaniya sotsialno-ekonomicheskogo razvitiya territorii s uchetom ekologicheskikh ograni- chenii [Experience of Interindustry Modeling of Socio-Economic Development of the Territories Taking into Account the Environmental Constraints]. Vestnik Buryatskogo gosudarstvennogo universiteta. Ekonomika. Pravo. 2015. No. 2a. Pp. 269–274.

Dugarzhapova D.B. Podkhody k modelirovaniyu multiplikatorov dokhodov i raskhodov naseleniya [Approaches to Modeling Multipliers of Incomes and Expendi- tures of the Population]. Vestnik Buryatskogo gosudarstvennogo universiteta. Eko- nomika i menedzhment. 2019. No. 4. P. 37–42.

Kolemayev V. A. Ekonomiko-matematicheskoe modelirovaniye. Mode- lirovanie makroekonomicheskikh protsessov i sistem [Economic and Mathematical Modeling. Modeling of Macroeconomic Processes and Systems]. Moscow: Uniti- Dana Publ., 2005. 295 p.

Leontyev V. Mezhotraslevaya ekonomika [Interindustry Economy]. Moscow: Ekonomika Publ., 1997. 447 p

Modelirovanie i upravlenie protsessami regionalnogo razvitiya [Modeling and Control of Regional Development Processes]. Moscow: Fizmatlit Publ., 2001. 432 p.

Pavlov V. N. Mezhotraslevye sistemy. Matematicheskiye modeli i metody [In- terindustry Systems. Mathematical Models and Methods]. Novosibirsk: Nauka Publ., 1986. 219 p.

Serebryakov G. R., Uzyakov M. N., Yantovskii A. A. Mezh- otraslevaya model ekonomiki Ivanovskoi oblasti [Input-Output Model of the Economy of Ivanovo Oblast]. Studies on Russian Economic Development. 2005. No. 2. P. 64–74.

Tagaeva T. O. Metodicheskie voprosy informatsionnogo obespeche- niya dinamicheskoi mezhotraslevoi modeli s blokom okhrany okruzha- yuschei sredy [Methodological Issues of Information Support for a Dynamic Input- Output Model with an Environmental Protection Unit]. Modeli i metody analiza mezhotraslevoi informatsii — Models and Methods for Analyzing Interindustry In- formation. Novosibirsk: IEIE SB RAS Publ., 1994. Pp. 80–113.

Shirov A. A., Yantovskii A. A. Otsenka multiplikativnykh effektov v eko- nomike: vozmozhnosti i ogranicheniya [Estimation of Multiplier Effects in the Econ- omy: Opportunities and Limitations]. ECO. 2011. No. 2. Pp. 40–58.

Baranov A. O., Pavlov V. N. Dynamic Input-Output Model Taking Account of the Investment Lag. Structural Change and Economic Dynamics. 1994. Vol. 5, No. 1. Pp. 87–98.

Ronald E. Miller and Peter D. Blair. Input-Output Analyses. Foundation and Extensions. 2nd Ed. Cambridge, UK: Cambridge University Press, 2009.