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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., , 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
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., Yaroslavna Pankratova, Светлов Р., , in: Frontiers of Dynamic Games, Game Theory and Management, St. Petersburg, 2018.: Birkhäuser, 2019. P. 85–102.
We deal with multistage multicriteria games in extensive form and employ so-called “A-subgame” concept to examine dynamical properties of some non-cooperative and cooperative solutions. It is proved that if we take into account only the active players at each A-subgame the set of all strong Pareto equilibria is time consistent but does not satisfy dynamical ...
Added: October 5, 2019