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Game Equilibria and Transition Dynamics with Networks Unification
P. 398-406.
Korolev A. V., Garmashov I.
In this paper, we consider the following problem - what affects the Nash equilibrium amount of investment in knowledge when one of the complete graph enters another full one. The solution of this problem will allow us to understand exactly how game agents will behave when deciding whether to enter the other net, what conditions and externalities affect it and how the level of future equilibrium amount of investments in knowledge can be predicted.
In book
Switzerland : Springer Publishing Company, 2020
Networks Structure, Equilibria, and Adjustment Dynamics in Network Games with Nonhomogeneous Players
Гармаш М. В., Уткина А. А., Korolev A. V., , in : Contributions to Game Theory and Management Volume XII. Vol. XII.: ., 2019. P. 128-139.
In this paper, we consider the following problem - what affects
the Nash equilibrium amount of investment in knowledge when some agents
of the complete graph enter another full one. The solution of this problem will
allow us to understand exactly how game agents will behave when deciding
whether to enter the other net, what conditions and externalities affect it
and ...
Added: September 29, 2019
., 2019
In this paper, we consider the following problem - what affects
the Nash equilibrium amount of investment in knowledge when some agents
of the complete graph enter another full one. The solution of this problem will
allow us to understand exactly how game agents will behave when deciding
whether to enter the other net, what conditions and externalities affect it
and ...
Added: September 29, 2019
Switzerland : Springer Publishing Company, 2020
In this paper, we consider the following problem - what affects the Nash equilibrium amount of investment in knowledge when one of the complete graph enters another full one. The solution of this problem will allow us to understand exactly how game agents will behave when deciding whether to enter the other net, what conditions ...
Added: June 23, 2019
СПб. : Издательство СЗИУ РАНХиГС, 2018
In this paper, we consider the following problem - what affects the amount of investment in knowledge when one of the network firms enters another innovation network. The solution of this problem will allow us to understand exactly how innovative companies will behave when deciding whether to enter the innovation network of another country or ...
Added: September 15, 2018
Matveenko V. D., Гармашов И. А., Гармаш М. В. et al., В кн. : ГОСУДАРСТВО И БИЗНЕС. СОВРЕМЕННЫЕ ПРОБЛЕМЫ ЭКОНОМИКИ. МАТЕРИАЛЫ X Международной научно-практической конференциим 25-27 апреля 2018 года Санкт-Петербург. Материалы международной научно-практической конференции. Том 1. Т. 1.: СПб. : Северо-Западный институт управления РАНХиГС при Президенте РФ, 2018. С. 8-17.
In this paper, we consider the following problem - what affects the amount of investment in knowledge when one of the network firms enters another innovation network. The solution of this problem will allow us to understand exactly how innovative companies will behave when deciding whether to enter the innovation network of another country or ...
Added: September 15, 2018
Matveenko V., Korolev A. V., Automation and Remote Control 2019 Vol. 80 No. 3 P. 556-575
This paper considers a network game as follows. In each node of a network, economy
is described by the simple two-period Romer’s model of endogenous growth with production
and knowledge externalities. The sum of knowledge levels in the neighbor nodes causes an
externality in the production of each network node. The concept of node type is introduced
and a ...
Added: June 22, 2019
Matveenko V. D., Korolev A. V., Математическая теория игр и ее приложения 2017 Т. 9 № 3 С. 64-92
Рассматривается игра на сети, в каждом узле которой экономика описывается простой двухпериодной моделью Ромера эндогенного роста с производством и экстерналиями знаний. Сумма уровней знаний в соседних узлах вызывает внешний эффект в производстве каждого узла сети. Вводится понятие типа вершины сети; дается типология сетей в зависимости от типов вершин; показано, что внутренние игровые равновесия определяются указанной ...
Added: November 15, 2017
Matveenko V. D., Korolev A. V., Скоблова Ю. А., В кн. : Государство и бизнес. Современные проблемы экономики. Материалы VIII международной научно-практической конференции. Том 1. Т. 1.: СПб. : РАНХиГС, 2016. С. 84-87.
We continue the study (Matveenko, Korolev, 2015) of a Nash equilibrium in network game with production and knowledge externalities. It is proved that in complete network equilibrium exists only when all agents are homogeneous. The necessary conditions for linking a node to the other one that is already steady in the network are analyzed. On ...
Added: February 24, 2017
Matveenko V. D., Korolev A. V., Бахтин М. А., В кн. : Государство и бизнес. Современные проблемы экономики. Материалы VIII международной научно-практической конференции. Том 1. Т. 1.: СПб. : РАНХиГС, 2016. С. 77-83.
This paper studies a model of game interaction with externalities on a network, in which agents choose their level of investment. We compare two concepts of equilibrium: standard Nash definition and “Jacobian” definition of equilibrium with externalities. It is shown that in both cases agents may be passive, active and hyperactive, and conditions for optimality ...
Added: February 24, 2017
Matveenko V. D., Korolev A. V., Automation and Remote Control 2019 Vol. 79 No. 7 P. 1342-1360
In each node of a network, economy is described by the simple two-period Romer’s
model of endogenous growth with production and knowledge externalities. The sum of knowledge
levels in the neighbor nodes causes an externality in the production of each node of the
network. The game equilibrium in the network is investigated. The agents’ solutions depending
on the size ...
Added: June 22, 2019
Matveenko V. D., Korolev A. V., International Journal of Computational Economics and Econometrics 2017 Vol. 7 No. 4 P. 323-358
We study game equilibria in a network, in each node of which an economy is described by a two-period model of endogenous growth with production and knowledge externalities. Each node obtains an externality produced by the sum of knowledge in neighbour nodes. Uniqueness of the inner equilibrium is proved. Ways of behaviour of agent (passive, ...
Added: October 24, 2017
Matveenko V. D., Korolev A. V., Математическая теория игр и ее приложения 2016 Т. 8 № 1 С. 106-137
Исследуется игровое равновесие в сети, в каждом узле которой экономика описывается простой двухпериодной моделью Ромера эндогенного роста с производством и экстерналиями знаний. Сумма уровней знаний в соседних узлах вызывает внешний эффект в производстве каждого узла сети. Рассматриваются решения агентов в зависимости от получаемой экстерналии. Доказывается единственность внутреннего равновесия. Изучается роль пассивных агентов в формировании сети, ...
Added: April 29, 2016
Matveenko V. D., Korolev A. V., , in : Proceedings of the Fourth Russian Finnish Symposium on Discrete Mathematics. Issue 22.: University of Turku, 2017. P. 119-135.
We study game equilibria in a network, in each node of which an economy is described by a two-period model of endogenous growth with production and knowledge externalities. Each node obtains an externality produced by the sum of knowledge in neighbour nodes. Uniqueness of the inner equilibrium is proved. Ways of behaviour of agent (passive, ...
Added: June 8, 2017
Matveenko V. D., Korolev A. V., , in : Models, Algorithms and Technologies for Network Analysis, Springer Proceedings in Mathematics & Statistics. Vol. 156.: Switzerland : Springer, 2016. Ch. 19. P. 291-331.
We consider a game equilibrium in a network in each node of which an economy is described by the simple two-period model of endogenous growth with production and knowledge externalities. Each node of the network obtains an externality produced by the sum of knowledge in neighbor nodes. Uniqueness of the inner equilibrium is proved. Three ...
Added: November 3, 2016
Korolev A. V., Automation and Remote Control 2022 Vol. 13 No. 1 P. 483-501
Stochastic parameters are introduced into a model of network games with production and knowledge externalities. The model was formulated by V. Matveenko and A. Korolev and generalizes Romer’s two-period model. The agents’ productivities have both deterministic and Wiener components. The research represents the dynamics of a single agent and the dynamics in a triangle that ...
Added: April 22, 2022
Matveenko V. D., Korolev A. V., Бахтин М. А., В кн. : Математика, статистика и информационные технологии в экономике, управлении и образовании. Ч. 1: Математика и статистика.: Тверь : Тверской государственный университет, 2016. С. 79-84.
This paper studies a model of game interaction on a network with externalities, in which agents choose their levels of investment. We compare two concepts of equilibrium: standard Nash definition and “Jacobian” definition of equilibrium with externalities. It is shown that the equilibrium level of investment is equal to the agent’s alpha centrality. Also, we ...
Added: February 23, 2017
Matveenko V. D., Garmash M., Korolev A. V., , in : Frontiers of Dynamic Games, Game Theory and Management, St. Petersburg, 2018. : Birkhäuser, 2019. 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 ...
Added: October 30, 2019
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
Saint Petersburg State University, 2018
The collection contains papers accepted for the Eleventh International Conference Game Theory and Management (June 28-30, 2017, St. Petersburg State University, St. Petersburg, Russia). The presented papers belong to the field of game theory and its applications to management. The volume may be recommended for researches and post-graduate students of management, economic and applied mathematics departments. Sited and reviewed in: Math-Net.Ru and RSCI. Abstracted ...
Added: September 18, 2018
Korolev A. V., Математическая теория игр и ее приложения 2021 № 1 С. 102-129
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 ...
Added: May 15, 2021
Matveenko V. D., В кн. : Системное моделирование социально-экономических процессов: труды 37-ой Международной научной школы-семинара, г. Сочи, 30 сентября - 5 октября 2014 г. : Воронеж : Воронежский государственный педагогический университет, 2014. С. 44-56.
Обсуждаются подходы к моделированию взаимозависимостей в экономике, показаны сложности, которые возникают при анализе такого рода моделей. Представлен ряд полученных автором результатов, относящихся к зависимости состояния экономики от структуры экономической системы. Внимание уделяется таким технологическим характеристикам, как степень дополняемости факторов или усилий агентов, и сетевых характеристик системы. Мы прослеживаем это отличие на примерах моделей с промежуточными ...
Added: October 19, 2015
Matveenko V. D., Korolev A. V., Maria O. Zhdanova, International Journal of Engineering Business Management 2017 Vol. 9 P. 1-17
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 (it may be, for instance, time or money) in the first of two time periods; consumption in the second period depends on her own ...
Added: September 28, 2017
Matveenko V., Garmash M., Korolev A. V., , in : Contributions to Game Theory and Management Volume XI. : Saint Petersburg State University, 2018. P. 113-128.
We study game equilibria in a model of production and externalities in network with three 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 ...
Added: September 18, 2018
Matveenko V. D., Korolev A. V., , in : Contributions to game theory and management / Ed. by L. A. Petrosyan, N. A. Zenkevich. Issue 8. St. Petersburg : Graduate School of Management, St. Petersburg University, 2015. Issue 8.: St. Petersburg : Graduate School of Management, St. Petersburg University, 2015. P. 199-222.
We consider a game equilibrium in a network in each node of which an economy is described by the simple two-period model of endogenous growth with production and knowledge externalities. Each node of the network obtains an externality produced by the sum of knowledge in neighbor nodes. Uniqueness of the inner equilibrium is proved. Three ...
Added: September 22, 2015