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Article

Optimization of Interaction with Counterparties: Selection Game Algorithm under Uncertainty

1
Graduate School of Industrial Economics, Peter the Great St. Petersburg Polytechnic University, Saint Petersburg 195251, Russia
2
Laboratory of Intelligent and Software Information Systems, Vologda Research Center, Russian Academy of Sciences, Vologda 160014, Russia
3
Technical University of Applied Sciences Wildau, 15745 Wildau, Germany
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(13), 2079; https://doi.org/10.3390/math12132079
Submission received: 8 May 2024 / Revised: 1 June 2024 / Accepted: 7 June 2024 / Published: 2 July 2024
(This article belongs to the Special Issue Applications of Data Envelopment Analysis and Econometrics)

Abstract

The purpose of this study is to develop a comprehensive algorithm for optimizing the interaction of economic entities with counterparties, taking into account the uncertainty of market conditions and the variety of behavioral strategies of participants. The developed algorithm aims to increase the stability and efficiency of the interactions between the economic entity under study and its counterparties, minimizing risks and optimizing cooperative and competitive strategies within the framework of existing market relations. The methodology uses game theory to devise interaction strategies using mutual influence indices, non-cooperative game principles, and payment matrices. The model analyzes various interaction scenarios with counterparties by using payment matrices and considering both competitive and cooperative conditions. The research methodology is supplemented by the calculation of integral estimates based on a set of financial and economic indicators, enabling the assessment of the impact of various interaction strategies on the overall efficiency of an economic entity. After testing the developed models, a set of data was obtained, which can be used to optimize strategic planning and manage the interaction of economic entities with counterparties. The developed algorithm is an effective tool for improving the operational analysis of enterprises, primarily in industrial sectors.
Keywords: game theory; non-cooperative games; payment matrices; multicriteria analysis; integral estimates; interaction with counterparties; strategic planning; business modeling game theory; non-cooperative games; payment matrices; multicriteria analysis; integral estimates; interaction with counterparties; strategic planning; business modeling

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MDPI and ACS Style

Zaytsev, A.; Mihel, E.; Dmitriev, N.; Alferyev, D.; Laszlo, U. Optimization of Interaction with Counterparties: Selection Game Algorithm under Uncertainty. Mathematics 2024, 12, 2079. https://doi.org/10.3390/math12132079

AMA Style

Zaytsev A, Mihel E, Dmitriev N, Alferyev D, Laszlo U. Optimization of Interaction with Counterparties: Selection Game Algorithm under Uncertainty. Mathematics. 2024; 12(13):2079. https://doi.org/10.3390/math12132079

Chicago/Turabian Style

Zaytsev, Andrey, Ekaterina Mihel, Nikolay Dmitriev, Dmitry Alferyev, and Ungvari Laszlo. 2024. "Optimization of Interaction with Counterparties: Selection Game Algorithm under Uncertainty" Mathematics 12, no. 13: 2079. https://doi.org/10.3390/math12132079

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