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JOURNALS // Applied Mathematics and Control Sciences // Archive

Appl. Math. Control Sci., 2021, Issue 4, Pages 119–135 (Mi pstu17)

Organizational Behavior Control in Social and Economic Systems

Identification of the potential of cluster-network interaction of organizations based on establishing a link between GRP and market concentration indicators

L. V. Kozhemyakina, L. N. Yasnitskiibc, S. V. Rusakovc

a Perm National Research Polytechnic University, Perm, Russian Federation
b National Research University "Higher School of Economics", Perm branch, Perm, Russian Federation
c Perm State University, Perm, Russian Federation

Abstract: This paper examines the main generally accepted market concentration indices adapted to the sub-industry structure. These indicators can be metrics for determining the dominant sub-sectors, which can be used to analyze cluster interactions. In fact, indicators can serve as an indicator of the potential for the development of cluster interaction. The current study hypothesizes that if there is one dominant sub-sector in the region, then enterprises that are «representatives» of such a sub-sector, having the most significant weight in the formation of this sub-sector and the industry as a whole, will influence the change in the GRP of the region much more than other enterprises not from the dominant industry. Thus, the paper exploresthe relationship between these metrics and the rate of gross regional product per capita, as one of the key indicators of regional development. At the first stage, a neural network is built and trained to identify a pattern between one of the metrics and the rate of gross regional product. Further, approximating by $n$-th order polynomials, various specifications of regression equations are considered, between all metrics and the change in the rate of gross regional product. The assumption is made that only the diversification of production does not lead to the socio-economic development of the region, but the creation and development of cluster interaction allows to increase the rate of gross re- gional product.

UDC: 51-74

Received: 11.11.2021
Revised: 16.11.2021
Accepted: 16.11.2021

DOI: 10.15593/2499-9873/2021.4.07



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© Steklov Math. Inst. of RAS, 2026