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Open-Loop Based Strategies for Autonomous Linear Quadratic Game Models with Continuous Updating. / Kuchkarov, Ildus; Petrosian, Ovanes.

Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings. ed. / Alexander Kononov; Michael Khachay; Valery A. Kalyagin; Panos Pardalos. Springer Nature, 2020. p. 212-230 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12095 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Kuchkarov, I & Petrosian, O 2020, Open-Loop Based Strategies for Autonomous Linear Quadratic Game Models with Continuous Updating. in A Kononov, M Khachay, VA Kalyagin & P Pardalos (eds), Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12095 LNCS, Springer Nature, pp. 212-230, 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020, Novosibirsk, Russian Federation, 6/07/20. https://doi.org/10.1007/978-3-030-49988-4_15

APA

Kuchkarov, I., & Petrosian, O. (2020). Open-Loop Based Strategies for Autonomous Linear Quadratic Game Models with Continuous Updating. In A. Kononov, M. Khachay, V. A. Kalyagin, & P. Pardalos (Eds.), Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings (pp. 212-230). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12095 LNCS). Springer Nature. https://doi.org/10.1007/978-3-030-49988-4_15

Vancouver

Kuchkarov I, Petrosian O. Open-Loop Based Strategies for Autonomous Linear Quadratic Game Models with Continuous Updating. In Kononov A, Khachay M, Kalyagin VA, Pardalos P, editors, Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings. Springer Nature. 2020. p. 212-230. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-030-49988-4_15

Author

Kuchkarov, Ildus ; Petrosian, Ovanes. / Open-Loop Based Strategies for Autonomous Linear Quadratic Game Models with Continuous Updating. Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings. editor / Alexander Kononov ; Michael Khachay ; Valery A. Kalyagin ; Panos Pardalos. Springer Nature, 2020. pp. 212-230 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{e4459313fa09464f8f76640fb2d45e10,
title = "Open-Loop Based Strategies for Autonomous Linear Quadratic Game Models with Continuous Updating",
abstract = "The class of differential games with continuous updating is quite new, there it is assumed that at each time instant, players use information about the game structure (motion equations and payoff functions of players) defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. A linear-quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. In this paper, it is particularly interesting that the open-loop strategies are used to construct the optimal ones, but subsequently, we obtain strategies in the feedback form. Using these strategies the notions of Shapley value and Nash equilibrium as optimality principles for cooperative and non-cooperative cases respectively are defined and the optimal strategies for the linear-quadratic case are presented.",
keywords = "Differential games with continuous updating, Linear quadratic differential games, Nash equilibrium",
author = "Ildus Kuchkarov and Ovanes Petrosian",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/978-3-030-49988-4_15",
language = "English",
isbn = "9783030499877",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Nature",
pages = "212--230",
editor = "Alexander Kononov and Michael Khachay and Kalyagin, {Valery A.} and Panos Pardalos",
booktitle = "Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings",
address = "Germany",
note = "19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020 ; Conference date: 06-07-2020 Through 10-07-2020",

}

RIS

TY - GEN

T1 - Open-Loop Based Strategies for Autonomous Linear Quadratic Game Models with Continuous Updating

AU - Kuchkarov, Ildus

AU - Petrosian, Ovanes

PY - 2020/1/1

Y1 - 2020/1/1

N2 - The class of differential games with continuous updating is quite new, there it is assumed that at each time instant, players use information about the game structure (motion equations and payoff functions of players) defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. A linear-quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. In this paper, it is particularly interesting that the open-loop strategies are used to construct the optimal ones, but subsequently, we obtain strategies in the feedback form. Using these strategies the notions of Shapley value and Nash equilibrium as optimality principles for cooperative and non-cooperative cases respectively are defined and the optimal strategies for the linear-quadratic case are presented.

AB - The class of differential games with continuous updating is quite new, there it is assumed that at each time instant, players use information about the game structure (motion equations and payoff functions of players) defined on a closed time interval with a fixed duration. As time goes on, information about the game structure updates. A linear-quadratic case for this class of games is particularly important for practical problems arising in the engineering of human-machine interaction. In this paper, it is particularly interesting that the open-loop strategies are used to construct the optimal ones, but subsequently, we obtain strategies in the feedback form. Using these strategies the notions of Shapley value and Nash equilibrium as optimality principles for cooperative and non-cooperative cases respectively are defined and the optimal strategies for the linear-quadratic case are presented.

KW - Differential games with continuous updating

KW - Linear quadratic differential games

KW - Nash equilibrium

UR - http://www.scopus.com/inward/record.url?scp=85087752323&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/7773a74d-5965-3258-8eef-914cd7a36420/

U2 - 10.1007/978-3-030-49988-4_15

DO - 10.1007/978-3-030-49988-4_15

M3 - Conference contribution

AN - SCOPUS:85087752323

SN - 9783030499877

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 212

EP - 230

BT - Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings

A2 - Kononov, Alexander

A2 - Khachay, Michael

A2 - Kalyagin, Valery A.

A2 - Pardalos, Panos

PB - Springer Nature

T2 - 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020

Y2 - 6 July 2020 through 10 July 2020

ER -

ID: 62445314