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Variational Inequalities, Nash Equilibrium Problems and Applications: Unification Dynamics in Networks
Ch. 9. P. 157–174.
We study game equilibria in a model of production and externalities
in network with two types of agents who possess different productivities. Each
agent may invest a part of her endowment (for instance, time or money) on the
first stage; consumption on the second period depends on her own investment
and productivity as well as on the investments of her neighbors in the network.
Three ways of agent’s behavior are possible: passive (no investment), active (a part
of endowment is invested) and hyperactive (the whole endowment is invested).
We introduce adjustment dynamics and study consequences of junction of two
regular networks with different productivities of agents. We use the projectionbased
method for solving variational inequalities for the description of adjustment
dynamics in networks.
In book
Birkhäuser, 2019.
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
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
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
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
Zaikin A., Li Z., Tsybina Y. et al., Mathematics 2022 Vol. 10 Article 3275
Abstract
Working memory refers to the capability of the nervous system to selectively retain short-term memories in an active state. The long-standing viewpoint is that neurons play an indispensable role and working memory is encoded by synaptic plasticity. Furthermore, some recent studies have shown that calcium signaling assists the memory processes and the working memory might ...
Added: March 12, 2024
Semenov D., Koldanov A. P., Koldanov P. et al., Annals of Mathematics and Artificial Intelligence 2024
In this paper we propose a new notion of a clique reliability. The clique reliability is understood as the ratio of the number of statistically significant links in a clique to the number of edges of the clique. This notion relies on a recently proposed original technique for separating inferences about pairwise connections between vertices ...
Added: January 30, 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
Gurvich V., Naumova M., Discrete Applied Mathematics 2023 Vol. 340 P. 53–68
In 1975 the first author proved that every finite tight two-person game form g is Nashsolvable,
that is, for every payoffs u and w of two players the obtained normal form game
(g; u,w) has a Nash equilibrium (NE) in pure strategies. Several proofs of this theorem
were obtained later. Here we strengthen the result and give a ...
Added: September 8, 2023
Samoylenko I., Кулешов И. В., Райгородский А. М., Компьютерные исследования и моделирование 2023 Т. 15 № 2 С. 355–368
At the middle of the 2000-th, scientists studying the functioning of insect communities identified four basic patterns of the organizational structure of such communities. (i) Cooperation is more developed in groups with strong kinship. (ii) Cooperation in species with large colony sizes is often more developed than in species with small colony sizes. And small-sized ...
Added: July 28, 2023
Voskoboynikov I., Journal of Productivity Analysis 2023 Vol. 59 No. 3 P. 225–241
This paper shows that the industrial origins of productivity growth in Czechia, Hungary, and Slovenia (CEE-3) and Russia before 2008 were similar and driven by manufacturing industries. The contribution of manufacturing industries to multifactor productivity (MFP) growth is substantial. In CEE-3, it exceeded market services. The contribution of labor reallocation to labor productivity growth was ...
Added: February 23, 2023
Korolev A. V., Ougolnitsky G. A., International Game Theory Review 2023 Vol. 25 No. 2 Article 2350004
In this paper, we build and investigate cooperative games with different characteristic
functions (von Neumann–Morgenstern, Petrosyan–Zaccour, Gromova–Petrosyan) on the
base of symmetrical Cournot oligopoly game-theoretic models in normal form. We find
Nash and Stackelberg equilibria and cooperative solutions for nonsymmetrical Cournot
oligopoly game-theoretic models in normal form. Also, we build and investigate coop27
erative three-player games with the same characteristic ...
Added: January 26, 2023
Gurvich V., Naumova M., Annals of Mathematics and Artificial Intelligence 2022
We prove a new property of dual hypergraphs and derive from it Nash-solvability of the corresponding (tight) game forms. This result is known since 1975, but its new proof is much simpler. ...
Added: December 10, 2022
Stonyakin F., Gasnikov A., Dvurechensky P. et al., Journal of Optimization Theory and Applications 2022 Vol. 194 No. 3 P. 988–1013
We introduce an inexact oracle model for variational inequalities with monotone operators, propose a numerical method that solves such variational inequalities, and analyze its convergence rate. As a particular case, we consider variational inequalities with Hölder-continuous operator and show that our algorithm is universal. This means that, without knowing the Hölder exponent and Hölder constant, ...
Added: October 30, 2022
Bessonova E., Ksenia Gonchar, Russian Journal of Money and Credit 2022 Vol. 81 No. 3 P. 22–53
This paper studies how market structure and subsidisation affect the
productivity gap between state-owned enterprises (SOEs) and private
enterprises in the specific context of an economy with a long history of
state involvement in industry and continued government intervention
after the completion of privatisation. The results suggest that private firms
are 7–8 percentage points closer to the sectoral technical frontier ...
Added: October 13, 2022
NY: Association for Computing Machinery (ACM), 2022.
On behalf of the Conference Committee, we welcome you to the 8th International Conference on Computer Technology Applications (ICCTA 2022). It is organized by FH JOANNEUM, one of the leading universities of applied sciences in Austria. After a long break, caused by the COVID-19 pandemic, the conference is held in presence, in the beautiful city ...
Added: September 26, 2022
Zaitseva I., Shaposhnikov D., Applied Economics 2023 Vol. 55 No. 6 P. 577–593
Market inefficiencies, known as Moneyball effect, have been recently documented in different sports and their scope largely remains an empirical question. This article focuses on football, where fans and club managers seem to value forwards more than defenders. Apparently, football rules imply equally important roles for goals scored and goals conceded in a team win. ...
Added: August 30, 2022
Volkova O. N., Vologina D.A., Korolev A. V., Automation and Remote Control 2022 Vol. 83 No. 6 P. 960–978
In this paper, stochastic parameters are introduced into the network games model with production and externalities of knowledge. This model was formulated by V. Matveenko and A. Korolev and generalized the two-period Romer model. The agents’ productivities have deterministic and Wiener components. We consider the dynamics that occur when two complete networks are combined. Explicit ...
Added: July 6, 2022
Fedyunina A., Radosevic S., Economic Systems 2022 Vol. 46 No. 3 Article 100998
DM (Crépon, Duguet and Mairesse, 1988) is a workhorse model in the economics of innovation, which explains productivity in a three-stage procedure driven initially by R&D and leads to patents and then to productivity improvements. Based on the logic of this model, an increasing number of papers applies it to emerging economies but modifies the ...
Added: June 24, 2022