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Existence of bargaining sets for cooperative games with fuzzy payoffs
Mathematical notes. 2023. Vol. 114. No. 4. P. 619–624.
A. S. Shvedov
It is proved that the bargaining set for a cooperative game with trapezoidal fuzzy payoffs is nonempty
М.: Наука и технологии, 2026.
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МФТИ, 2025.
абота редакции научного журнала «Труды Московского физико-технического института» (кратко «Труды МФТИ»), редакционной коллегии и редакционного совета осуществляется в соответствии с Положением, утвержденным ректором института. В состав редакционной коллегии входят руководители института, факультетов, институтских и факультетских кафедр. Главный редактор журнала —президент МФТИ, член-корр. РАН Кудрявцев Н.Н.
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Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
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Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
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German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
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Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2021 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
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Ivchenko A., Shestoperov A. I., Fomina E. V., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
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Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
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Gadzhimirzaev S., Хельвас А. В., Лукьянченко П. П., Computer Research and Modeling 2023 Vol. 15 No. 1 P. 129–140
In this article we propose a new approach to the analysis of econometric industry parameters for the industry consolidation level. The research is based on the simple industry automatic control model. The state of the industry is measured by quarterly obtained econometric parameters from each industry’s company provided by the tax control regulator. An approach ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., International Frequency Sensor Association (IFSA) Publishing, 19-21 February 2025 Granada, Spain 2025 P. 172–176
The paper presents models for an innovative fully robotic warehouse for storing boxed goods. A discrete multiagent simulation of the movement of shuttles in a warehouse for a given sequence of pallet shipments has been implemented. Different strategies for placement of boxes in various areas of a warehouse are evaluated, as well as optimal routing ...
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Гусейнов О., Degtyarev K. Y., IRETC MTÜ PAHTEI - Proceedings of Azerbaijan High Technical Educational Institutions 2025 Т. 48 № 1 С. 360–370
The concept of Z-number was proposed by Prof. Lotfi Zadeh to describe partial reliability of information, and it is a kind of fusion of fuzziness and probabilistic uncertainty. Z-number can be presented as a pair of fuzzy numbers Z(A,B) used to describe a value of a random variable X. The first component (A) is a ...
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Aleksandra L. Grinikh, , in: Contributions to Game Theory and Management, Vol. XVVol. 15.: St. Petersburg: Saint Petersburg State University, 2022. Ch. 7 P. 60–80.
This paper summarizes the list of our works that contain researches about optimality principles for the "n-person prisoner’s dilemma" game. The classic model is considered through the new payoff function for each player that allows to consider it without restrictions for the number of players. The new characteristic function gives an opportunity to introduce the ...
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V. V. Gusev, Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций") 2024 Vol. 18 No. 2 P. 271–281
The paper examines the problem of the distribution of public space. We use the methods of cooperative game theory to solve this problem. Players are districts, while the value of the characteristic function is the total number of people interested in a particular type of public space in the areas under consideration. The axioms that ...
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Malevanova Y., Законодательство 2024 № 4 С. 60–65
This article is devoted to an urgent topic – improving the procedure for pre-trial appeal of decisions of control (supervisory) bodies as a guarantee of the rights of controlled persons to protection within the framework of state control (supervision).
The article analyzes the main changes in legislation regarding the implementation of state control (supervision) and appeals ...
Added: November 19, 2023
Shvedov A. S., Математические заметки 2023 Т. 114 № 4 С. 615–622
It is proved that the bargaining set for a cooperative game with trapezoidal fuzzy payoffs is nonempty. ...
Added: October 6, 2023
Korolev A. V., Котова М. А., Угольницкий Г. А., Известия РАН. Теория и системы управления 2023 № 1 С. 82–105
Аналитически найдены равновесия Нэша и Штакельберга, а также кооперативные решения для динамических теоретико-игровых моделей олигополии Курно в нормальной форме с неоднородными агентами. Построены и исследованы кооперативные теоретико-игровые модели олигополии Курно трех лиц в форме характеристической функции фон Неймана–Моргенштерна и Громовой–Петросяна, включая вычисление вектора Шепли. Проведен сравнительный анализ выигрышей агентов, согласно полученным решениям, для игр в ...
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Grinikh A., Petrosyan L., , in: Contributions to Game Theory and ManagementVol. XIV: Collected papers.: St. Petersburg: St. Petersburg University, 2021. P. 122–126.
In the paper n-person prisoner's dilemma on the network is investigated. A cooperative game with the pairwise interaction of players is constructed. The model is a modification of the classic 2-person prisoner's dilemma problem in the game theory. Network interaction provide an ability to take into account the influence only to the adjacent players from the ...
Added: October 27, 2022
Shvedov A. S., Информатика и ее применения 2022 Т. 16 № 3 С. 2–6
Zhao (2001) suggested a new condition for non-emptiness of the core of a cooperative game. At first, a necessary and sufficient condition was found by Zhao for a particular case of games with transferable utility. In this case, as was shown by Zhao, the condition can be easily used for construction of a computational scheme, ...
Added: October 12, 2022
Shvedov A. S., Mathematical notes 2021 Vol. 110 No. 2 P. 261–266
It is well known that, for cooperative games with transferable utility (and with crisp
payoffs), the set of reasonable imputations is nonempty. It is also known for what values of ε the
set of reasonable imputations belongs to the ε-core. Then the ε-core is also nonempty. This result
is of considerable interest, because the 0-core of a cooperative ...
Added: August 5, 2021
Shvedov A. S., Математические заметки 2021 Т. 110 № 2 С. 282–288
It is well known that, for cooperative games with transferable utility (and with crisp
payoffs), the set of reasonable imputations is nonempty. It is also known for what values of ε the
set of reasonable imputations belongs to the ε-core. Then the ε-core is also nonempty. This result
is of considerable interest, because the 0-core of a cooperative ...
Added: August 5, 2021