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Averboukh, Yurii Vladimirovich

Statistics Math-Net.Ru
Total publications: 13
Scientific articles: 13
Presentations: 19

Number of views:
This page:1589
Abstract pages:4641
Full texts:1254
References:505
Senior Researcher
Candidate of physico-mathematical sciences (2007)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 1.06.1981
E-mail:
Keywords: differential games, Nash equilibrium, programmed iteration method, mean field games.
UDC: 517.977, 517.977.8, 517.978.2, 517.978.4
MSC: 49N70, 91A10, 49L25

Subject:

Control theory, theory of differential games.

   
Main publications:
  1. Averbukh Yu.V., “Infinitezimalnaya kharakterizatsiya pozitsionnogo ravnovesiya po Neshu v differentsialnoi igre”, Tr. IMM UrO RAN, 16:1 (2010), 3–14

http://www.mathnet.ru/eng/person35224
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
2020
1. Yu. V. Averboukh, “Markov approximations of nonzero-sum differential games”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:1 (2020),  3–17  mathnet  isi
2018
2. Yu. Averboukh, “Stackelberg solution of first-order mean field game with a major player”, Izv. IMI UdGU, 52 (2018),  3–12  mathnet  isi  elib
2017
3. Y. V. Averboukh, “Randomized Nash equilibrium for differential games”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:3 (2017),  299–308  mathnet  isi  elib
2015
4. Yu. V. Averboukh, “A minimax approach to mean field games”, Mat. Sb., 206:7 (2015),  3–32  mathnet  mathscinet  zmath  elib; Sb. Math., 206:7 (2015), 893–920  isi  scopus
2014
5. Yu. V. Averboukh, “Universal Nash equilibria in $n$-person differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  26–40  mathnet  mathscinet  elib
2012
6. Yurii V. Averboukh, “Nash equilibrium for differential game and nonanticipative strategies technique”, Mat. Teor. Igr Pril., 4:3 (2012),  3–20  mathnet; Autom. Remote Control, 75:8 (2014), 1491–1502  isi
2011
7. Yu. V. Averboukh, “Program absorption operators in the theory of nonzero-sum differential games”, CMFD, 42 (2011),  5–14  mathnet  mathscinet; Journal of Mathematical Sciences, 199:6 (2014), 604–613  scopus
8. Yu. V. Averboukh, “Nash equilibrium in differential games and the construction of the programmed iteration method”, Mat. Sb., 202:5 (2011),  3–28  mathnet  mathscinet  zmath  elib; Sb. Math., 202:5 (2011), 621–647  isi  scopus
9. Yu. V. Averboukh, “Infinitesimal characterization of Nash equilibrium for differential games with many players”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, 2,  3–11  mathnet
2010
10. Yu. V. Averboukh, “Infinitesimal characterization of feedback Nash equilibrium”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  3–14  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 271, suppl. 1 (2010), S28–S40  isi  scopus
2009
11. Yu. V. Averboukh, “Differential games with a given value function”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  15–29  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S40–S55  isi
2008
12. Yu. V. Averboukh, “Geometric Properties of Successful Solvability Sets in Pursuit Game Problems”, Trudy Mat. Inst. Steklova, 262 (2008),  8–15  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 262 (2008), 2–9  isi  elib  scopus
13. Yu. V. Averboukh, “Transformation of differential guidance games with nonfixed moment of termination”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, 2,  5–6  mathnet

Presentations in Math-Net.Ru
1. Viability theory for the controlled systems in the space of probability measures
Y. V. Averboukh
Geometric Theory of Optimal Control
June 2, 2021 16:45   
2. Viability condition in the Wasserstein space
Y. V. Averboukh
Dobrushin Mathematics Laboratory Seminar
September 19, 2017 16:00
3. Дифференциальные игры. Некоторые постановки и результаты
Y. V. Averboukh
Mathematical Workshop of the School of Applied Mathematics and Computer Science (MIPT)
April 7, 2017 18:30   
4. Metric on the set of transition probability
Y. V. Averboukh
Seminar of Control System Department
January 19, 2017 12:00
5. Viability theorem for deterministic mean field type control systems
Y. V. Averboukh
Seminar of Control System Department
December 22, 2016 12:00
6. Properties of the value function for nonzero-sum differential game
Yu. V. Averboukh
Seminar of Control System Department
April 21, 2016 12:00
7. Value function for first order mean field games
Yu. V. Averboukh
Seminar of Control System Department
January 28, 2016 12:00
8. Continuous-time stochastic games
Yu. V. Averboukh
Principle Seminar of the Department of Probability Theory, Moscow State University
November 18, 2015 16:45
9. Deterministic limit of mean field games
Yu. V. Averboukh
Seminar of Control System Department
September 24, 2015 12:00
10. Approximate solutions of stochastic games associated with generators of Lévy-Khintchine type
Yu. V. Averboukh
International Conference on Mathematical Control Theory and Mechanics
July 3, 2015 15:00
11. Extremal shift for stochastic control problems
Yu. V. Averboukh
Seminar of Control System Department
April 9, 2015 12:00
12. Extremal shift for the control of Markov processes
Yu. V. Averboukh
Seminar of Control System Department
February 12, 2015 12:00
13. Extremal shift rule for continuous-time stochastic games
Yu. V. Averboukh
Seminar of Control System Department
December 4, 2014
14. Zero-sum Markov game
Yu. V. Averboukh
Seminar of Control System Department
November 13, 2014
15. Nash equilibria and systems of Hamilton-Jacobi PDEs
Yu. V. Averboukh
Seminars of the Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
October 2, 2014
16. Deterministic mean field games. Minimax approach
Yu. V. Averboukh
International Conference on Differential Equations and Dynamical Systems
July 8, 2014 16:50
17. Игры среднего поля и динамические системы, зависящие от меры
Yu. V. Averboukh
Principle Seminar of the Department of Probability Theory, Moscow State University
May 21, 2014 16:45
18. Control with guide strategies for Markov games
Yu. V. Averboukh
Seminar of Control System Department
May 15, 2014
19. Управление детерминированной системой большого числа лиц: подход "игр среднего поля"
Yu. V. Averboukh
Dobrushin Mathematics Laboratory Seminar
April 1, 2014 16:00

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