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A Novel Payoff Distribution Procedure for Sustainable Cooperation in an Extensive Game with Payoffs at All Nodes
Ch. 20. P. 279–294.
Kuzyutin D., Smirnova N.
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 and algorithm of its implementation in a 2-player game is provided. Using this algorithm we construct specific payoff distribution procedure from the β-S-P Core in an extensive-form version of the fishery-management model with asymmetric players.
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
Герасимов А. А., Karachurina L. B., Вестник Санкт-Петербургского университета. Науки о Земле 2025 Т. 70 № 4 С. 662–684
Migration is one of the key factors shaping the spatial redistribution of the population and changes in its age-sex structure across different territories. Although contemporary Russian researchers have paid considerable attention to the age-related aspects of migration, sex-related differences in migration have received little scholarly focus. The purpose of this study is to assess the ...
Added: September 9, 2025
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
Герасимов А. А., Демографическое обозрение 2022 Vol. 9 No. 1 P. 91–107
Migration is one of the key processes that shape the age and sex structure of a population. Intraregional migration, which accounted for 39% of migration turnover in Russia in 2016 - 2020 and follows the centripetal trend, has a significant impact on the population of many territories. The study of sex disparities in migration deepens ...
Added: September 20, 2023
Dubinina M., Теоретическая и прикладная лингвистика 2022 Т. 8 № 3 С. 79–89
Covid19 has become that extralinguistic factor leading to the emergence of new lexical units and expansion of the meaning of the old ones. Moreover, coronovirus is a phenomenon that has recently been familiar to a circle of narrow specialists but is now rethought and transformed into a culturally significant concept becoming a semantically structural entity, ...
Added: September 2, 2023
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
Герасимов А. А., Демографическое обозрение 2022 Т. 9 № 1 С. 92–108
Migration is one of the key processes that shape the age and sex structure of a population. Intraregional migration, which accounted for 39% of migration turnover in Russia in 2016-2020 and follows the centripetal trend, has a significant impact on the population of many territories. The study of sex disparities in migration deepens the understanding ...
Added: February 1, 2023
Kaspe S. I., Мировая экономика и международные отношения 2022 Т. 66 № 11 С. 115–125
The march of events which have been unfolding in the last three decades in Northern Eurasia requires clarification and extension of the terminology used in the empire studies, and first of all, the supplement of the wide-spread “center-periphery” model with a third, intermediate element – the notion of “core”. The “core”, in contrast to the ...
Added: November 14, 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
Zuazo-Garin P., Journal of Mathematical Economics 2017 Vol. 71 P. 135–151
In everyday economic interactions, it is not clear whether each agent’s sequential choices are visible to other participants or not: agents might be deluded about others’ ability to acquire, interpret or keep track of data. Following this idea, this paper introduces uncertainty about players’ ability to observe each others’ past choices in extensive-form games. In ...
Added: September 14, 2020
Aleksandra L. Grinikh, , in: Contributions to Game Theory and Management Volume XIIVol. XII.: ., 2019. P. 151–158.
A cooperative finite-stage dynamic n-person prisoner's dilemma is considered. The time-consistent subset of the core is proposed. The Shapley value for the stochastic model of the n-person prisoner's dilemma is calculated in explicit form. ...
Added: October 31, 2019