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A Cooperation Scheme in Multistage Game of Renewable Resource Extraction with Asymmetric Players
Ch. 17. P. 235–249.
Kuzyutin D., Skorodumova Y., Smirnova N.
In book
Vol. 13367. , Springer, 2022.
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., , in: Third International Conference, MSBC 2024, Almaty, Kazakhstan, September 18–20, 2024, Proceedings. Modeling and Simulation of Social-Behavioral Phenomena in Creative Societies. CCIS, volume 2211.: Cham: Springer, 2024. Ch. 6 P. 70–84.
Added: October 22, 2024
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., Lipko I., Pankratova Yaroslavna et al., , in: Frontiers of Dynamic Games Game Theory and Management, St. Petersburg, 2019.: Birkhauser/Springer, 2020. Ch. 10 P. 141–159.
To enforce the long-term cooperation in a multistage multicriteria game we use the imputation distribution procedure (IDP) based approach. We mainly focus on such useful properties of the IDP like “reward immediately after the move” assumption, time consistency inequality, efficiency and non-negativity constraint. To overcome the problem of negative payments along the optimal cooperative trajectory ...
Added: January 29, 2021
Kuzyutin D., Gromova E., Smirnova N., , in: Mathematical Optimization Theory and Operations Research, 19th International Conference, MOTOR 2020, Novosibirsk, Russia, July 6–10, 2020, (Т. 12095).: Cham: Springer, 2020. P. 184–199.
We consider a class of multistage multicriteria games in extensive form with chance moves where the players cooperate to maximize their expected joint vector payoff. Assuming that the players have agreed to accept the minimal sum of relative deviations rule in order to choose a unique Pareto optimal payoffs vector, we prove the time consistency ...
Added: October 31, 2020
Kuzyutin D., Smirnova N., Mathematics 2020 Vol. 8 No. 7 P. 1061
We design a mechanism of the players’ sustainable cooperation in multistage n-person game in the extensive form with chance moves. When the players agreed to cooperate in a dynamic game they have to ensure time consistency of the long-term cooperative agreement. We provide the players’ rank based (PRB) algorithm for choosing a unique cooperative strategy ...
Added: October 30, 2020
Pankratova Y., Petrosyan L., Proceedings of the Steklov Institute of Mathematics 2019 Vol. 305 P. 140–149
In our previous papers (2002, 2017), we derived conditions for the existence of a strong Nash equilibrium in multistage nonzero-sum games under additional constraints on the possible deviations of coalitions from their agreed-upon strategies. These constraints allowed only one-time simultaneous deviations of all the players in a coalition. However, it is clear that in real-world ...
Added: October 26, 2019