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Pontryagin’s Maximum Principle for Non-cooperative Differential Games with Continuous Updating. / Petrosian, Ovanes; Tur, Anna; Zhou, Jiangjing.

Mathematical Optimization Theory and Operations Research : 19th International Conference, MOTOR 2020, Revised Selected Papers. ed. / Yury Kochetov; Igor Bykadorov; Tatiana Gruzdeva. Springer Nature, 2020. p. 256-270 (Communications in Computer and Information Science; Vol. 1275 CCIS).

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

Harvard

Petrosian, O, Tur, A & Zhou, J 2020, Pontryagin’s Maximum Principle for Non-cooperative Differential Games with Continuous Updating. in Y Kochetov, I Bykadorov & T Gruzdeva (eds), Mathematical Optimization Theory and Operations Research : 19th International Conference, MOTOR 2020, Revised Selected Papers. Communications in Computer and Information Science, vol. 1275 CCIS, Springer Nature, pp. 256-270, 19th International Conference on Mathematical Optimization Theory and Operations Research,MOTOR 2020, Novosibirsk, Russian Federation, 6/07/20. https://doi.org/10.1007/978-3-030-58657-7_22

APA

Petrosian, O., Tur, A., & Zhou, J. (2020). Pontryagin’s Maximum Principle for Non-cooperative Differential Games with Continuous Updating. In Y. Kochetov, I. Bykadorov, & T. Gruzdeva (Eds.), Mathematical Optimization Theory and Operations Research : 19th International Conference, MOTOR 2020, Revised Selected Papers (pp. 256-270). (Communications in Computer and Information Science; Vol. 1275 CCIS). Springer Nature. https://doi.org/10.1007/978-3-030-58657-7_22

Vancouver

Petrosian O, Tur A, Zhou J. Pontryagin’s Maximum Principle for Non-cooperative Differential Games with Continuous Updating. In Kochetov Y, Bykadorov I, Gruzdeva T, editors, Mathematical Optimization Theory and Operations Research : 19th International Conference, MOTOR 2020, Revised Selected Papers. Springer Nature. 2020. p. 256-270. (Communications in Computer and Information Science). https://doi.org/10.1007/978-3-030-58657-7_22

Author

Petrosian, Ovanes ; Tur, Anna ; Zhou, Jiangjing. / Pontryagin’s Maximum Principle for Non-cooperative Differential Games with Continuous Updating. Mathematical Optimization Theory and Operations Research : 19th International Conference, MOTOR 2020, Revised Selected Papers. editor / Yury Kochetov ; Igor Bykadorov ; Tatiana Gruzdeva. Springer Nature, 2020. pp. 256-270 (Communications in Computer and Information Science).

BibTeX

@inproceedings{864286ce12b143ab94b0f87b8c3d5a32,
title = "Pontryagin{\textquoteright}s Maximum Principle for Non-cooperative Differential Games with Continuous Updating",
abstract = "The paper is devoted to the optimality conditions as determined by Pontryagin{\textquoteright}s maximum principle for a non-cooperative differential game with continuous updating. Here it is assumed that at each time instant players have or use information about the game structure defined for the closed time interval with a fixed duration. The major difficulty in such a setting is how to define players{\textquoteright} behavior as the time evolves. Current time continuously evolves with an updating interval. As a solution for a non-cooperative game model, we adopt an open-loop Nash equilibrium within a setting of continuous updating. Theoretical results are demonstrated on an advertising game model, both initial and continuous updating versions are considered. A comparison of non-cooperative strategies and trajectories for both cases are presented.",
keywords = "Differential games with continuous updating, Hamiltonian, Open-loop Nash equilibrium, Pontryagin{\textquoteright}s maximum principle",
author = "Ovanes Petrosian and Anna Tur and Jiangjing Zhou",
note = "Petrosian O., Tur A., Zhou J. (2020) Pontryagin{\textquoteright}s Maximum Principle for Non-cooperative Differential Games with Continuous Updating. In: Kochetov Y., Bykadorov I., Gruzdeva T. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2020. Communications in Computer and Information Science, vol 1275. Springer, Cham. https://doi.org/10.1007/978-3-030-58657-7_22; 19th International Conference on Mathematical Optimization Theory and Operations Research,MOTOR 2020 ; Conference date: 06-07-2020 Through 10-07-2020",
year = "2020",
doi = "10.1007/978-3-030-58657-7_22",
language = "English",
isbn = "9783030586560",
series = "Communications in Computer and Information Science",
publisher = "Springer Nature",
pages = "256--270",
editor = "Yury Kochetov and Igor Bykadorov and Tatiana Gruzdeva",
booktitle = "Mathematical Optimization Theory and Operations Research",
address = "Germany",

}

RIS

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T1 - Pontryagin’s Maximum Principle for Non-cooperative Differential Games with Continuous Updating

AU - Petrosian, Ovanes

AU - Tur, Anna

AU - Zhou, Jiangjing

N1 - Petrosian O., Tur A., Zhou J. (2020) Pontryagin’s Maximum Principle for Non-cooperative Differential Games with Continuous Updating. In: Kochetov Y., Bykadorov I., Gruzdeva T. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2020. Communications in Computer and Information Science, vol 1275. Springer, Cham. https://doi.org/10.1007/978-3-030-58657-7_22

PY - 2020

Y1 - 2020

N2 - The paper is devoted to the optimality conditions as determined by Pontryagin’s maximum principle for a non-cooperative differential game with continuous updating. Here it is assumed that at each time instant players have or use information about the game structure defined for the closed time interval with a fixed duration. The major difficulty in such a setting is how to define players’ behavior as the time evolves. Current time continuously evolves with an updating interval. As a solution for a non-cooperative game model, we adopt an open-loop Nash equilibrium within a setting of continuous updating. Theoretical results are demonstrated on an advertising game model, both initial and continuous updating versions are considered. A comparison of non-cooperative strategies and trajectories for both cases are presented.

AB - The paper is devoted to the optimality conditions as determined by Pontryagin’s maximum principle for a non-cooperative differential game with continuous updating. Here it is assumed that at each time instant players have or use information about the game structure defined for the closed time interval with a fixed duration. The major difficulty in such a setting is how to define players’ behavior as the time evolves. Current time continuously evolves with an updating interval. As a solution for a non-cooperative game model, we adopt an open-loop Nash equilibrium within a setting of continuous updating. Theoretical results are demonstrated on an advertising game model, both initial and continuous updating versions are considered. A comparison of non-cooperative strategies and trajectories for both cases are presented.

KW - Differential games with continuous updating

KW - Hamiltonian

KW - Open-loop Nash equilibrium

KW - Pontryagin’s maximum principle

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U2 - 10.1007/978-3-030-58657-7_22

DO - 10.1007/978-3-030-58657-7_22

M3 - Conference contribution

AN - SCOPUS:85092107609

SN - 9783030586560

T3 - Communications in Computer and Information Science

SP - 256

EP - 270

BT - Mathematical Optimization Theory and Operations Research

A2 - Kochetov, Yury

A2 - Bykadorov, Igor

A2 - Gruzdeva, Tatiana

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 -

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