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Control of information horizon for cooperative differential game of pollution control
2016 International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference). 2016.
Petrosian O., Громова Е. В.
Petrosian O., International Game Theory Review 2016 Vol. 18 No. 2 P. 1-14
Added: November 24, 2017
Petrosian O., Погожев С. В., Automatica 2018
Added: February 18, 2018
Petrosian O., Барабанов А. Е., Journal of Optimization Theory and Applications 2017 Vol. 172 No. 1 P. 328-347
In this study, a novel approach for defining and computing a solution for a differential game is presented for a case, wherein players do not have complete information about the game structure for the full time interval. At any instant in time, players have certain information about the motion equations and payoff functions for a ...
Added: November 24, 2017
Petrosian O., Annals of Operations Research 2018
Added: February 18, 2018
Petrosyan L., Yeung D., Pankratova Y., , in : Mathematical Optimization Theory and Operations Research: Recent Trends: 20th International Conference, MOTOR 2021, Irkutsk, Russia, July 5–10, 2021, Revised Selected Papers. : Cham : Springer, 2021. P. 403-416.
A class of cooperative differential games on networks is considered. It is supposed that players have the possibility to cut connections with neighbors at each time instant of the game. This gives the possibility to compute the values of a characteristic function for each coalition as a joint payoff of players from this coalition without ...
Added: November 1, 2021
Kuzyutin D., Громова Е. В., Pankratova Y., Operations Research Letters 2018 Vol. 46 No. 6 P. 557-562
We use the imputation distribution procedure approach to ensure sustainable cooperation in a multistage game with vector payoffs. In order to choose a particular Pareto optimal and time consistent strategy profile and the corresponding cooperative trajectory we suggest a refined leximin algorithm. Using this algorithm we design a characteristic function for a multistage multicriteria game. Furthermore, we provide sufficient conditions for strong time consistency of the core. ...
Added: November 6, 2018
Korolev A. V., , in : Frontiers of Dynamic Games Game Theory and Management, St. Petersburg, 2019. : Birkhauser/Springer, 2020. Ch. 6. P. 65-85.
In this paper we introduce stochastic parameters into the network game
model with production and knowledge externalities. This model was proposed
by V. Matveenko and A. Korolev as a generalization of the two-period Romer
model. Agents differ in their productivities which have deterministic and stochastic
(Wiener) components. We study the dynamics of a single agent and the dynamics
of a ...
Added: November 30, 2020
Kuzyutin D., Gromova E., Smirnova N., , in : Mathematical Optimization Theory and Operations Research, 19th International Conference, MOTOR 2020, Novosibirsk, Russia, July 6–10, 2020, (Т. 12095). : Cham : Springer, 2020. P. 184-199.
We consider a class of multistage multicriteria games in extensive form with chance moves where the players cooperate to maximize their expected joint vector payoff. Assuming that the players have agreed to accept the minimal sum of relative deviations rule in order to choose a unique Pareto optimal payoffs vector, we prove the time consistency ...
Added: October 31, 2020
Petrosian O., Nastych M., Volf D., , in : 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. : Institute of Electrical and Electronics Engineers Inc., 2017. Ch. 78. P. 1-4.
Non-transferable utility game of oil market is considered. Special approach for defining solution is used. This approach enables to construct a real time models of conflicting processes. Connection between the solution in the game with moving information horizon and solutions on the truncated time intervals is shown. ...
Added: September 14, 2017
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
Averboukh Y., Mathematics 2018 Vol. 6 No. 9 P. 151
The paper is devoted to inverse Stackelberg games with many players. We consider both static and differential games. The main assumption of the paper is the compactness of the strategy sets. We obtain the characterization of inverse Stackelberg solutions and under additional concavity conditions, establish the existence theorem. ...
Added: April 17, 2020
Matveenko V. D., Montenegrin Journal of Economics 2013 Vol. 9 No. 3 P. 7-27
A new approach is proposed revealing duality relations between a physical side of economy (resources and technologies) and its institutional side (institutional relationsd between social groups). Production function is modeled not as a primal object but rather as a secondary one defined in a dual way by the institutional side. Differential games of bargaining are ...
Added: November 1, 2013
Afanasiev V., Автоматика и телемеханика 2022 № 11 С. 103-120
We consider the problem of a zero-sum differential tracking game with a quadratic
performance functional in which the plant subjected to uncontrolled disturbances is described
by a nonlinear ordinary differential equation. The synthesis of optimal controls is known to
necessitate online solving a scalar Bellman–Isaacs partial differential equation that contains
information about the trajectory of the process to be ...
Added: June 19, 2023
Gromova E., Malakhova A., Palestini A., Mathematics 2018 Vol. 6 No. 9 P. 1-17
A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the cumulative distribution function (c.d.f.) of the final time is discontinuous, the related subgames are differentiated based on the position of the initial instant with respect to the jump. We investigate properties of optimal trajectories and of ...
Added: March 11, 2020
Petrosyan L., Yeung D., Pankratova Y., Proceedings of the Steklov Institute of Mathematics 2021 Vol. 27 No. 3 P. 286-295
In the paper, the differential games on networks with partner sets are considered. The payoffs of a given player depend on his actions and the actions of the players from his partner set. The cooperative version of the game is proposed, and a special type of characteristic function is introduced. It is proved the constructed ...
Added: November 1, 2021
Petrosian O., Yeung D., International Game Theory Review 2017 Vol. 19 No. 4 P. 1-23
We introduce a new sequential game, where each player has a limited resource that he needs to spend on increasing the probability of winning each stage, but also on maintaining the assets that he has won in the previous stages. Thus, the players’ strategies must take into account that winning at any given stage negatively ...
Added: February 18, 2018
Korolev A. V., , in : Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2020. : Cham : Birkhäuser, 2021. P. 167-187.
Added: April 5, 2022
Semion A., Качество. Инновации. Образование 2016 № 6 С. 53-67
This thesis aims on task of quadrotor autopilot development. Model of helicopter was formulated using
quaternion algebra and checked on correctness.
The control problem is formulated in the key control differential game with quadratic cost function. The
synthesis of controls which leads to need of Riccati equation solution with parameters depending on
states at rate of object functioning is ...
Added: October 11, 2016
Birkhauser/Springer, 2019
This book is devoted to game theory and its applications to environmental problems, economics, and management. It collects contributions originating from the 12th International Conference on “Game Theory and Management” 2018 (GTM2018) held at Saint Petersburg State University, Russia, from 27 to 29 June 2018. ...
Added: December 26, 2019
Matveenko V. D., , in : Contributions to game theory and management. Issue 6.: St. Petersburg : Graduate School of Management, St. Petersburg University, 2013. P. 289-300.
In the present paper the game theory is applied to an important open question in economics: providing microfoundations for often-used types of production function. Simple differential games of bargaining are proposed to model a behavior of workers and capital-owners in processes of formation of a set of admissible factor prices or participants’ weights (moral-ethical assessments). ...
Added: November 6, 2013
Afanasiev V., IFAC-PapersOnLine 2016 Vol. 49 No. 12 P. 360-365
The problem of optimal control for a class of non-linear objects with uncontrolled bounded disturbances is formulated in the sense of a differential game. In case of problems with quadratic quality functional, the problem of optimal control search is reduced to finding of solution of Hamilton-Jacobi-Isaacs equation. Solutions of this equation at the rate of ...
Added: December 23, 2016
Afanasiev V., Окунькова Е. В., Мехатроника, автоматизация, управление 2013 № 5(146) С. 2-5
The task of designing the control actions for a heavy water reactor under uncertainty changes its parameters considered in the key differential game. The possibility of representing nonlinear dynamics of the object in the form of a system with parameters depending on the state (State Dependent Coefficients) and quadratic functional qualities allow you to go ...
Added: September 21, 2013
Zaremba A., Gromova E., Tur A., Mathematics 2020 Vol. 8 No. 12 Article 2185
One class of differential games with random duration is considered. It is assumed that the duration of the game is a random variable with values from a given finite interval. The cumulative distribution function (CDF) of this random variable is assumed to be discontinuous with two jumps on the interval. It follows that the player’s ...
Added: January 31, 2021
Afanasiev V., , in : ICNPAA 2012 World Congress: 9-th International Conference on Mathematical Problem in Engineering, Aerospace and Science. Vol. 1493.: NY : American Institute of Physics, 2012. P. 13-20.
An optimal control problem is formulated for a class of nonlinear systems for which there exists a coordinate representation transforming the original system into a system with a linear main part and a nonlinear feedback. In this case the coordinate transformation significantly changes the form of original quadratic functional. The penalty matrices become dependent on ...
Added: December 3, 2012