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Sustainable Cooperation in a Bicriteria Game of Renewable Resource Extraction
Ch. 6. P. 70–84.
Kuzyutin D., Smirnova N.
Kuzyutin D., Smirnova N., Veselkov A., Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software 2026 Vol. 19 No. 3 P. 40–49
We consider spatial dynamic fishery management problem taking into account the resource migration process between an open-access fishing area and no-take marine protected area. The introduced extension of a standard single-criterion fish war game implies that each player aims to maximize simultaneously two performance criteria which present an economic benefit and an environmental conservation goal ...
Added: September 18, 2026
Kuzyutin D., Smirnova N., , in: Frontiers of Dynamic Games: Proceedings of the International Conference “Game Theory and Applications” 2022.: Cham: Birkhäuser, 2024. Ch. 7 P. 93–107.
Added: May 21, 2025
Kuzyutin D., Smirnova N., Тантлевский И. Р., Математическая теория игр и ее приложения 2024 Т. 16 № 1 С. 61–77
The paper examines an infinite-horizon multistage game of renewable resource extraction with two types of players, differing in the discount rates of future payoffs. Using the dynamic programming method, a non-cooperative solution - a subgame perfect Nash equilibrium in stationary positional strategies, as well as a cooperative (Paretooptimal) solution for the case of complete cooperation ...
Added: April 12, 2024
Kuzyutin D., Smirnova N., Mathematics 2023 Vol. 11 No. 6 Article 1497
We study a multi-objective finite-horizon game model of renewable, common resource extraction where the players have two separate objectives (one is economic success; the other describes the players’ environmental concern). We derive the cooperative strategy and the subgame-perfect Pareto equilibrium in linear-state non-stationary feedback strategies by employing the dynamic programming approach. Since the utility is ...
Added: April 7, 2023
A dynamic multicriteria game of renewable resource extraction with environmentally concerned players
Kuzyutin D., Smirnova N., Economics Letters 2023 Vol. 226 Article 111078
We introduce a multi-objective discrete-time competitive model of renewable resource extraction in which the standard economic objective is supplemented with an environmental one. Non-cooperative and cooperative solutions in feedback strategies are derived and compared with the solutions established for a standard single-criterion dynamic game. ...
Added: April 7, 2023
Kuzyutin D., Smirnova N., , in: Mathematical Optimization Theory and Operations Research, 21st International Conference, MOTOR 2022, Petrozavodsk, Russia, July 2–6, 2022, ProceedingsVol. 13367.: Springer, 2022. Ch. 20 P. 279–294.
This paper is a contribution to the problem of sustainable cooperation in an extensive-form game. We study an extension of the subgame-perfect core concept to more broad class of games (when the payoffs are defined at all nodes) which is based on the payoff distribution procedure approach. The properties of this β-S-P Core are studied ...
Added: July 7, 2022
Kuzyutin D., Skorodumova Y., Smirnova N., , in: Mathematical Optimization Theory and Operations Research, 21st International Conference, MOTOR 2022, Petrozavodsk, Russia, July 2–6, 2022, ProceedingsVol. 13367.: Springer, 2022. Ch. 17 P. 235–249.
Added: July 7, 2022