Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
On class of linear quadratic non-cooperative differential games with continuous updating. / Kuchkarov, Ildus; Petrosian, Ovanes.
Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. ed. / Michael Khachay; Yury Kochetov; Panos Pardalos. Springer Nature, 2019. p. 635-650 (Lecture Notes in Computer Science; Vol. 11548).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - On class of linear quadratic non-cooperative differential games with continuous updating
AU - Kuchkarov, Ildus
AU - Petrosian, Ovanes
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The subject of this paper is a linear quadratic case of a differential game model with continuous updating. This class of differential games is essentially new, there it is assumed that at each time instant, players have or use information about the game structure defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. Under the information about the game structure we understand information about motion equations and payoff functions of players. A linear quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. The notion of Nash equilibrium as an optimality principle is defined and the explicit form of Nash equilibrium for the linear quadratic case is presented. Also, the case of dynamic updating for the linear quadratic differential game is studied and uniform convergence of Nash equilibrium strategies and corresponding trajectory for a case of continuous updating and dynamic updating is demonstrated.
AB - The subject of this paper is a linear quadratic case of a differential game model with continuous updating. This class of differential games is essentially new, there it is assumed that at each time instant, players have or use information about the game structure defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. Under the information about the game structure we understand information about motion equations and payoff functions of players. A linear quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. The notion of Nash equilibrium as an optimality principle is defined and the explicit form of Nash equilibrium for the linear quadratic case is presented. Also, the case of dynamic updating for the linear quadratic differential game is studied and uniform convergence of Nash equilibrium strategies and corresponding trajectory for a case of continuous updating and dynamic updating is demonstrated.
KW - Differential games with continuous updating
KW - Linear quadratic differential games
KW - Nash equilibrium
UR - http://www.scopus.com/inward/record.url?scp=85067677203&partnerID=8YFLogxK
UR - http://www.mendeley.com/research/class-linear-quadratic-noncooperative-differential-games-continuous-updating
U2 - 10.1007/978-3-030-22629-9_45
DO - 10.1007/978-3-030-22629-9_45
M3 - Conference contribution
AN - SCOPUS:85067677203
SN - 9783030226282
T3 - Lecture Notes in Computer Science
SP - 635
EP - 650
BT - Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings
A2 - Khachay, Michael
A2 - Kochetov, Yury
A2 - Pardalos, Panos
PB - Springer Nature
T2 - 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019
Y2 - 8 July 2019 through 12 July 2019
ER -
ID: 44440319