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Переходная динамика в сетевой игре с гетерогенными агентами: стохастический случай
Математическая теория игр и ее приложения. 2021. № 1. С. 102–129.
Korolev A. V.
In this paper, stochastic parameters are introduced into the network games model with production and knowledges externalities. This model was formulated by V. Matveenko and A. Korolev and generalized two-period Romer model. Agents' productivities have deterministic and Wiener components. The research represents the dynamics of a single agent and the dynamics in a triangle which occurs in the process of unifying agents. Explicit expressions of the dynamics of a single agent and dyad agents in the form of Brownian random processes were obtained. A qualitative analysis of the solutions of stochastic equations and systems was carried out.
Ivanov E., Molodchik M., Eurasian Business Review 2026 Vol. 16 P. 95–122
This study investigates the industry-specific effects of IT system adoption on company productivity, emphasizing how different industry conditions shape IT-driven performance. Using hierarchical linear modeling on a dataset of 1,500 companies from 12 industries over the period 2008–2021, we analyze the impact of Enterprise Resource Planning (ERP) and Business Process Management (BPM) systems. Our findings ...
Added: February 18, 2026
Korshunov I., Ерегина А. Г., Андронов И. А., Интеграция образования 2025 Т. 29 № 3 С. 422–444
The article is founded on foreign and domestic data from theoretical and empirical studies of skills for productivity increasing. The authors have identified four areas of the most relevant skills for increasing individual productivity: skills for a high-tech workplace; skills in managing socio-emotional and psychological condition; skills in managing of social environment for creating of a ...
Added: November 3, 2025
Afanasiev V., Куприянов А. О., Неусыпин К. А., Авиакосмическое приборостроение 2025 № 9 С. 37–45
The problem of a zero-sum differential stabilization game with a quadratic performance functional is considered. The navigation system of an aircraft, including a platform inertial navigation system with structural correction using a control algorithm, is investigated. Errors of the navigation system, subject to the influence of uncontrolled disturbances, are described by a nonlinear ordinary differential ...
Added: November 1, 2025
Afanasiev V., Гаража И. А., Труды Института системного анализа Российской академии наук 2025 Т. 75 № 3 С. 80–91
The problem of a zero-sum differential stabilization game with a quadratic performance functional is considered. The control plant, subject to uncontrollable disturbances, is described by a nonlinear ordinary differential
equation. It is known that the synthesis of optimal feedback controls leads to the need to solve a scalar Bellman-Isaacs partial differential equation at the system's operating speed. An algebraic ...
Added: September 29, 2025
Afanasiev V., М.: ЛЕНАНД, 2023.
Valery Nikolaevich Afanasyev
Differential Games in Control Problems of Uncertain Objects
This book examines uncertain control systems whose behavior is described by nonlinear differential inclusions with fuzzy initial conditions. The application of classical methods, based on the assumption that all system characteristics and disturbances are known, is either computationally difficult or impossible. This necessitates the development of ...
Added: September 24, 2025
Петржик Н. М., Sandlerskiy R., Ермохина К. А. et al., В кн.: Тезисы конференции «Аэрокосмические методы и геоинформационные технологии в лесоведении, лесном хозяйстве и экологии»: Материалы IX Всероссийской научной конференции с международным участием (15 -17 апреля 2025 г. г.), Москва, Россия.: ЦЭПЛ РАН, 2025. С. 73–75.
The study is aimed at developing a methodology for assessing the parameters of ecosystem functioning using multispectral remote sensing data (MRSD) within the information-thermodynamic approach. This approach calculates the main components of the energy balance of a biogeocenosis as an open dynamic system that transforms solar energy due to the non-equilibrium of living matter, based ...
Added: September 7, 2025
Kolokoltsov V., Electronic Journal of Probability 2025 Vol. 30 Article 57
Stochastic Master equations or quantum filtering equations for mixed states are well known objects in quantum physics. Building a mathematically rigorous theory of these equations in infinite-dimensional spaces has been a long standing open problem. The first objective of this paper is to give a solution to this problem under the assumption of bounded operators ...
Added: May 29, 2025
Semenova E., Mikhail Komarov, , in: Sustainable Green Conversion. Selected Papers from ISPR2024, October 10-12, 2024 Budva-Montenegro, Volume 1Vol. 1,2.: Springer, 2025. Ch. 9 P. 125–144.
The article investigates the impact of large language models (LLMs), such as ChatGPT, on productivity within the digital product development industry. The research highlights the transformative role of LLMs in enhancing task completion speed, job satisfaction, and reducing fatigue, particularly for junior employees and less experienced professionals. Through a survey-based approach, the study identifies that ...
Added: May 6, 2025
Chaleenutthawut Y., Davydov V., Evdokimov M. et al., IEEE Access 2024 Vol. 12 P. 24843–24854
Decentralized finance (DeFi) offers a range of financial instruments and services that leverage the capabilities of web3 technology. Maker protocol, which enables users to obtain loans backed by cryptocurrencies, is one of them. Unlike traditional banks, Maker’s data is transparently recorded on the Ethereum blockchain. In this research paper, we focus on analyzing the lending ...
Added: September 4, 2024
Gurvich V., Naumova M., / Series "Working papers by Cornell University". 2024.
In several recent papers some concepts of convex analysis were extended to discrete sets. This paper is one more step in this direction. It is well known that a local minimum of a convex function is always its global minimum. We study some discrete objects that share this property and provide several examples of convex ...
Added: August 19, 2024
Gurvich V., Naumova M., Annals of Operations Research 2023 No. 336 P. 1905–1927
Added: August 7, 2024
Мария Молодчик, Юлия Найденова, Евгения Шенкман et al., Форсайт 2024 Т. 18 № 2 С. 45–56
Еhe study investigates the Russian information and communication technologies (ICT) landscape with a focus on sustainable ICT combinations at the industry level. The ICT combination for a company reflects its ICT profile, which is considered in resource theory as the firm’s ability to create competitive advantages based on resource complementarity. Unlike previous papers, it is not an ...
Added: June 21, 2024
Lubashevsky I., Lubashevskiy V., Computer Research and Modeling 2024 Vol. 16 No. 1 P. 79–87
We present a novel model for the dynamical trap of the stimulus-response type that mimics human control over dynamic systems when the bounded capacity of human cognition is a crucial factor. Our focus lies on scenarios where the subject modulates a control variable in response to a certain stimulus. In this context, the bounded capacity ...
Added: February 25, 2024
Филатов А. Ю., / Series 02:43:16 "CEST". 2023.
The paper proposes a game theory model of price oligopoly with a heterogeneous product, where total demand depends linearly on the minimum market price. This model develops the Bertrand oligopoly for the case of imperfect price elasticity of demand. The most interesting result is an asymmetric Nash equilibrium with different prices and sales in the ...
Added: January 10, 2024
Boros E., Franciosa P. G., Gurvich V. et al., International Journal of Game Theory 2024 Vol. 53 P. 449–473
We prove that a deterministic n-person shortest path game has a Nash equlibrium in
pure and stationary strategies if it is edge-symmetric (that is (u, v) is a move whenever (v, u) is, apart from moves entering terminal vertices) and the length of every
move is positive for each player. Both conditions are essential, though it remains ...
Added: October 31, 2023
Vartanov S., Математическая теория игр и ее приложения 2012 Т. 4 № 1
Рассматривается модель эндогенного формирования коалиций в больших множествах игроков (агентов). Предпочтения каждого агента характеризуются его идеальной точкой, при этом агенты распределены на множестве идеальных точек в соответствии с некоторым законом. Политика коалиций определяется как медиана распределения по идеальным точкам её участников. Выигрыш агента зависит от удаленности его идеальной точки от политики выбранной им коалиции и ...
Added: October 1, 2023
Vartanov S., Сосина Ю. В., Математическое моделирование 2013 Т. 25 № 4 С. 44–64
Рассматривается модель эндогенного формирования коалиций в больших множествах агентов. Предпочтения каждого агента характеризуются его идеальной точкой, при этом агенты распределены на множестве идеальных точек в соответствии с некоторым законом. Политика коалиций определяется как медиана распределения по идеальным точкам её участников. Выигрыш агента зависит от удаленности его идеальной точки от политики выбранной им коалиции и от ...
Added: October 1, 2023
Vartanov S., Математическая теория игр и ее приложения 2013 Т. 5 № 1 С. 3–26
В работе рассматривается теоретико-игровая модель поведения избирателей на массовых (например, парламентских) выборах. Важные особенности таких выборов, влияющие на решение избирателя об участии: 1) заранее неизвестно, сколько избирателей примет участие в голосовании; 2) число кандидатов неизмеримо меньше числа избирателей, поэтому шансы избирателя повлиять на результат выборов весьма малы. На явку электората влияет также то обстоятельство, что ...
Added: September 30, 2023
Vartanov S., М.: МАКС Пресс, 2018.
Книга представляет собой учебное пособие, пригодное для первоначального ознакомления с математическим аппаратом некооперативной теории игр и некоторыми ее приложениями из математической экономики и социологии. Первая часть пособия посвящена теоретическим основам и приложениям биматричных игровых моделей. Во второй части излагаются базовые принципы построения и решения игровых задач с непрерывными множествами стратегий, а также иерархических и позиционных ...
Added: September 30, 2023