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Асимтотическая устойчивость смешанных равновесий для итеративных процессов в биматричных играх
С. 220–224.
In discrete time, asymptotic dynamics in the neighborhood of mixed equilibrium excludes coordination. However, this result is possible given specific payoff matrices. This paper considers characteristics of payoff matrices under which iterative process never converges to a mixed equilibrium, even if it starts from this. This suggests that asymptotically stability can be inherent to only pure equilibria. If sum of equilibrium mixed strategies is not equal to unity there is not convergence to a mixed equilibrium. From the standpoint of total payoff this means that a small change of the payoff matrix should result in that given any initial strategy distribution players acheive coordination and the related payoffs.
In book
СПб.: Издательство Нестор-История, 2015.
Shevchenko V., Philosophy of the Social Sciences 2023 Vol. 53 No. 2 P. 103–121
In the paper, I propose a project of social coordination as naturalistic social ontology (CNSO) based on the rules-in-equilibria theory of social institutions (Guala and Hindriks 2015; Hindriks and Guala 2015). It takes coordination as the main ontological unit of the social, a mechanism homological across animals and humans, for both can handle coordination problems: ...
Added: April 20, 2023
Kolokoltsov V., малафеев о. а., Singapore: World Scientific Publishing Co. Pte. Ltd, 2021.
Game theory is the mathematical discipline aimed to model various interactions of living organisms in quantitative terms. Game theory, as the universal method for the analysis of social interactions has wide applications in economics, in the theory of control and management, financial mathematics, evolutionary biology, sociology, psychology and politics, in modelling different social processes, in ...
Added: October 29, 2021
Bonilla M., Aguillon N. A., Ortiz Castillo M. A. et al., IMA Journal of Mathematical Control and Information 2021 P. 1–15
Our paper deals with the stabilization of a class of time-dependent linear autonomous complex systems with a switched structure. The initially given switched dynamic system is assumed to be controlled by a specific state feedback strategy associated with the linear quadratic regulator (LQR) type control. The proposed control design guarantees stabilization of the closed-loop system ...
Added: October 6, 2021
Guglielmi N., Protasov V., SIAM Journal on Matrix Analysis and Applications 2018 Vol. 39 No. 4 P. 1642–1669
We consider the problem of computing the closest stable/unstable nonnegative matrix
to a given real matrix. The distance between matrices is measured in the Frobenius norm. The
problem is addressed for two types of stability: the Schur stability (the matrix is stable if its spectral
radius is smaller than one) and the Hurwitz stability (the matrix is stable ...
Added: October 30, 2019
Stukach O., , in: 2019 International Seminar on Electron Devices Design and Production (SED).: IEEE, 2019. P. 1–9.
The numerical optimization method for
calculating regulators has been used more frequently. The
toolkit of the method includes various regulator structures,
including pseudolocal loops regulators, regulators with a
reference model, or with a Smith's predictor, with a bypass
channel, regulators using the open model, etc. The arsenal of
cost functions for optimization is also quite diverse. It
includes the integral of the ...
Added: October 12, 2019
Yakushkina T., Ериклинцев И. В., Известия высших учебных заведений. Поволжский регион. Физико-математические науки 2016 № 1(37) С. 23–36
Background Replicator systems often arise when evolution is concerned. Mathematical models of population dynamics, game theory, economics and biological and molecular evolution lead to the systems of partial differential equations. Due to the absence of analytical solutions for the vast majority of such problems, approximate solutions obtained via numerical simulation are required. Hence, construction of ...
Added: May 7, 2016
Yakushkina T., Moscow University Computational Mathematics and Cybernetics 2016 Vol. 40 No. 1 P. 19–27
Reaction–diffusion type replicator systems are investigated for the case of a bimatrix. An approach proposed earlier for formalizing and analyzing distributed replicator systems with one matrix is applied to asymmetric conflicts. A game theory interpretation of the problem is described and the relation between dynamic properties of systems and their game characteristics is determined. The ...
Added: February 16, 2016
Dmitriev A., Maltseva S. V., Tsukanova O. A., Информационные технологии 2016 Т. 22 № 4 С. 255–260
An approach to the investigation into the dynamics of social networks is described. The results of a qualitative analysis of the social network based on a microblogging principle are represented. The network interaction is approximated as a dynamic system characterizing the number of senders and recipients of small content elements.
The aim of the present paper ...
Added: December 3, 2015
Skorobogatov A., Журнал институциональных исследований 2014 Т. 6 № 4 С. 98–115
Paper discusses the evolutionary game theory applied to the analysis of the social interaction dynamics under presence of the arbitrary start dependence. General setup of the game model with n players and n strategies is presented. Differences between the best reply related adaptive mechanisms with alternative adaptive mechanisms, including the natural selection, are examined. When ...
Added: March 20, 2015
Yakushkina T., Вестник Московского университета. Серия 15: Вычислительная математика и кибернетика 2016 Т. 40 № 1 С. 19–27
Данная работа посвящена изучению свойств распределенных репликаторных систем, соответствующих асимметричной игре, а также изучению влияния диффузии на устойчивость решений. Рассматриваемая модель имеет биологическую интерпретацию как модель взаимодействия двух видов популяций, распределенных в пространстве. Исследуются случаи стабилизации, дестабилизации, сохранения устойчивости пространственно однородных решений, существование пространственно неоднородных решений системы с диффузией. ...
Added: October 24, 2014
Yakushkina T., Saakian D., Bratus A. et al., Journal of the Physical Society of Japan 2015 Vol. 84 No. 6, Article number 064802 P. 064802-1–064802-7
Evolutionary games are used in various elds stretching from economics to biology. Most assume a constant payoff matrix, although some works also consider dynamic payoff matrices. In this article we propose a possibility of switching the system between two regimes with different sets of payoff matrices. Such a model can qualitatively describe the development of ...
Added: October 23, 2014
Nastych M., Балашов Н. Д., В кн.: Эволюция экономической теории: воспроизводство, технологии, институты. Аннотации докладов участников X Международного Симпозиума по эволюционной экономике.: М.: Институт экономики РАН, 2013. С. 14–15.
Одним из ведущих факторов роста российской экономики в современных условиях является рабочая сила. В настоящее время в большинстве исследований акцент делается на проблеме экономического роста в России, связанной с энергетической зависимостью, в то время как проблемы зависимости русской экономической системы от стоимости и качества рабочей силы незаслуженно находятся в тени. В связи со старением населения ...
Added: March 24, 2014
Nastych M., Balashov N., , in: Game Theory and Management. Collected abstracts of papers presented on the Seventh International Conference Game Theory and Management.: St. Petersburg: Graduate School of Management, St. Petersburg University, 2013. Ch. 66 P. 173–175.
One of the leading resources of Russian economic internal growth in modern conditions is the labor force. Currently the focus is on the problem of the economic growth in Russia associated with the energy dependency, whereas the problems connected with the dependence of the Russian economic system on the cost and quality of the labor ...
Added: August 11, 2013