Technology of Input–Output Analysis with CES Production: Application for Studying the Kazakhstan Supply Chain during the COVID-19 Pandemic

Author:

Boranbayev Askar1ORCID,Obrosova Nataliia23ORCID,Shananin Alexander234ORCID

Affiliation:

1. Department of Computer Science, Nazarbayev University, 53 Kabanbay Batyr Ave., Astana 010000, Kazakhstan

2. Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow 119991, Russia

3. Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Vavilov Street 44/2, Moscow 119333, Russia

4. Department of System Analysis and Solutions, Faculty of Control and Applied Mathematics, Moscow Institute of Physics and Technology, Institutskiy Per. 9, Dolgoprudny 141701, Russia

Abstract

Input–output analysis finds widespread application in estimating the shock effects on production networks within both local and global economies. We are developing a new technology for intersectoral analysis that takes into account the substitution of production factors within a complex supply network triggered by external or internal shocks. This technology is based on the explicit solution of a pair of convex programming problems: the resource allocation problem under the assumption of Constant Elasticity of Substitution (CES) technologies and the special dual Young problem. Solving these problems, we can ascertain the equilibrium inputs and price indexes of goods within the production network. In this paper, we apply this technology to analyze the economy of Kazakhstan in the context of the COVID-19 pandemic. Our calculations provide us with the means to discuss the macroeconomic responses of the multi-sectoral production network in Kazakhstan to both external and internal shocks stemming from the pandemic.

Funder

Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan

Publisher

MDPI AG

Subject

Management, Monitoring, Policy and Law,Renewable Energy, Sustainability and the Environment,Geography, Planning and Development,Building and Construction

Reference21 articles.

1. Problem of Aggregating of an Input-Output Model and Duality;Shananin;Comput. Math. Math. Phys.,2021

2. Nonlinear input-output balance and Young duality: Analysis of COVID-19 macroeconomic impact on Kazakhstan;Boranbayev;Sib. Electron. Math. Rep.,2022

3. Quantitative Input-Output Relations in the Economic System of the United States;Leontief;Rev. Econ. Stat.,1936

4. Leontief, W.W. (1951). The Structure of American Economy, 1919–1939: An Empirical Application of Equilibrium Analysis, Oxford University Press.

5. Stone, R. (1961). Input-Output and National Accounts, Organization for European Economic Cooperation.

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