Persons: Averboukh, Yurii Vladimirovich

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Averboukh, Yurii Vladimirovich

Statistics Math-Net.Ru
Total publications:	15
Scientific articles:	15
Presentations:	23

Number of views:
This page:	2814
Abstract pages:	6460
Full texts:	1998
References:	781

Head Scientist Researcher

Doctor of Science (2021)

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:

Mean field games, mean field type control theory control theory, theory of differential games.

Main publications:

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

https://www.mathnet.ru/eng/person35224

List of publications on Google Scholar

List of publications on ZentralBlatt

https://orcid.org/0000-0002-6541-8470

https://www.scopus.com/authid/detail.url?authorId=25624271000

	Publications in Math-Net.Ru	Citations
	2022
1.	Y. V. Averboukh, “A mean field type differential inclusion with upper semicontinuous right-hand side”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:4 (2022), 489–501
	2021
2.	Yu. V. Averboukh, “Approximation of value function of differential game with minimal cost”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:4 (2021), 536–561	1
	2020
3.	Yu. V. Averboukh, “Markov approximations of nonzero-sum differential games”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:1 (2020), 3–17
	2018
4.	Yu. Averboukh, “Stackelberg solution of first-order mean field game with a major player”, Izv. IMI UdGU, 52 (2018), 3–12	4
	2017
5.	Y. V. Averboukh, “Randomized Nash equilibrium for differential games”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:3 (2017), 299–308
	2015
6.	Yu. V. Averboukh, “A minimax approach to mean field games”, Mat. Sb., 206:7 (2015), 3–32 ; Sb. Math., 206:7 (2015), 893–920	4
	2014
7.	Yu. V. Averboukh, “Universal Nash equilibria in $n$-person differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014), 26–40
	2012
8.	Yurii V. Averboukh, “Nash equilibrium for differential game and nonanticipative strategies technique”, Mat. Teor. Igr Pril., 4:3 (2012), 3–20 ; Autom. Remote Control, 75:8 (2014), 1491–1502	1
	2011
9.	Yu. V. Averboukh, “Program absorption operators in the theory of nonzero-sum differential games”, CMFD, 42 (2011), 5–14 ; Journal of Mathematical Sciences, 199:6 (2014), 604–613
10.	Yu. V. Averboukh, “Nash equilibrium in differential games and the construction of the programmed iteration method”, Mat. Sb., 202:5 (2011), 3–28 ; Sb. Math., 202:5 (2011), 621–647	1
11.	Yu. V. Averboukh, “Infinitesimal characterization of Nash equilibrium for differential games with many players”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2, 3–11	1
	2010
12.	Yu. V. Averboukh, “Infinitesimal characterization of feedback Nash equilibrium”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010), 3–14 ; Proc. Steklov Inst. Math. (Suppl.), 271, suppl. 1 (2010), S28–S40	1
	2009
13.	Yu. V. Averboukh, “Differential games with a given value function”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009), 15–29 ; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S40–S55
	2008
14.	Yu. V. Averboukh, “Geometric Properties of Successful Solvability Sets in Pursuit Game Problems”, Trudy Mat. Inst. Steklova, 262 (2008), 8–15 ; Proc. Steklov Inst. Math., 262 (2008), 2–9
15.	Yu. V. Averboukh, “Transformation of differential guidance games with nonfixed moment of termination”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2, 5–6

Presentations in Math-Net.Ru

1.	Аппроксимация решений уравнения Беллмана для задач управления средним полем Y. V. Averboukh November 7, 2022 17:50
2.	Игры среднего поля с конечным числом состояний. Подход на основе теории управления Y. V. Averboukh October 14, 2022 18:40
3.	Pontryagin's maximum principle for the mean optimal control problems Y. V. Averboukh, D. V. Khlopin Geometric Theory of Optimal Control September 15, 2022 16:45
4.	Mean field type controlled systems Yu. V. Averboukh International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 9, 2022 10:15
5.	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
6.	Viability condition in the Wasserstein space Y. V. Averboukh Dobrushin Mathematics Laboratory Seminar September 19, 2017 16:00
7.	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
8.	Metric on the set of transition probability Y. V. Averboukh Seminar of Control System Department January 19, 2017 12:00
9.	Viability theorem for deterministic mean field type control systems Y. V. Averboukh Seminar of Control System Department December 22, 2016 12:00
10.	Properties of the value function for nonzero-sum differential game Yu. V. Averboukh Seminar of Control System Department April 21, 2016 12:00
11.	Value function for first order mean field games Yu. V. Averboukh Seminar of Control System Department January 28, 2016 12:00
12.	Continuous-time stochastic games Yu. V. Averboukh Principle Seminar of the Department of Probability Theory, Moscow State University November 18, 2015 16:45
13.	Deterministic limit of mean field games Yu. V. Averboukh Seminar of Control System Department September 24, 2015 12:00
14.	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
15.	Extremal shift for stochastic control problems Yu. V. Averboukh Seminar of Control System Department April 9, 2015 12:00
16.	Extremal shift for the control of Markov processes Yu. V. Averboukh Seminar of Control System Department February 12, 2015 12:00
17.	Extremal shift rule for continuous-time stochastic games Yu. V. Averboukh Seminar of Control System Department December 4, 2014
18.	Zero-sum Markov game Yu. V. Averboukh Seminar of Control System Department November 13, 2014
19.	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
20.	Deterministic mean field games. Minimax approach Yu. V. Averboukh International Conference on Differential Equations and Dynamical Systems July 8, 2014 16:50
21.	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
22.	Control with guide strategies for Markov games Yu. V. Averboukh Seminar of Control System Department May 15, 2014
23.	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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