Differential Game Model of Resource Extraction with Continuous and Dynamic Updating

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Differential Game Model of Resource Extraction with Continuous and Dynamic Updating. / Петросян, Ованес Леонович; Tihomirov , Denis; Чжоу, Цзянцзин; Гао, Хунвэй.

In: Journal of the Operations Research Society of China, Vol. 12, 2024, p. 51–75.

Research output: Contribution to journal › Article › peer-review

Author

Петросян, Ованес Леонович ; Tihomirov , Denis ; Чжоу, Цзянцзин ; Гао, Хунвэй. / Differential Game Model of Resource Extraction with Continuous and Dynamic Updating. In: Journal of the Operations Research Society of China. 2024 ; Vol. 12. pp. 51–75.

BibTeX

@article{8cd356690bec4f0daf21defacd64f8f4,

title = "Differential Game Model of Resource Extraction with Continuous and Dynamic Updating",

abstract = "This paper is devoted to a new class of differential games with continuous and dynamic updating. The direct application of resource extraction in a case of dynamic and continuous updating is considered. It is proved that the optimal control (cooperative strategies) and feedback Nash equilibrium strategies uniformly converge to the corresponding strategies in the game model with continuous updating as the number of updating instants converges to infinity. Similar results are presented for an optimal trajectory (cooperative trajectory), equilibrium trajectory and corresponding payoffs.",

keywords = "Differential games, Dynamic updating, Continuous updating, Optimal control, Feedback Nash equilibrium, Continuous updating, Differential games, Dynamic updating, Feedback Nash equilibrium, Optimal control",

author = "Петросян, {Ованес Леонович} and Denis Tihomirov and Цзянцзин Чжоу and Хунвэй Гао",

year = "2024",

doi = "10.1007/s40305-023-00484-2",

language = "English",

volume = "12",

pages = "51–75",

journal = "Journal of the Operations Research Society of China",

issn = "2194-668X",

publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - Differential Game Model of Resource Extraction with Continuous and Dynamic Updating

AU - Петросян, Ованес Леонович

AU - Tihomirov , Denis

AU - Чжоу, Цзянцзин

AU - Гао, Хунвэй

PY - 2024

Y1 - 2024

N2 - This paper is devoted to a new class of differential games with continuous and dynamic updating. The direct application of resource extraction in a case of dynamic and continuous updating is considered. It is proved that the optimal control (cooperative strategies) and feedback Nash equilibrium strategies uniformly converge to the corresponding strategies in the game model with continuous updating as the number of updating instants converges to infinity. Similar results are presented for an optimal trajectory (cooperative trajectory), equilibrium trajectory and corresponding payoffs.

AB - This paper is devoted to a new class of differential games with continuous and dynamic updating. The direct application of resource extraction in a case of dynamic and continuous updating is considered. It is proved that the optimal control (cooperative strategies) and feedback Nash equilibrium strategies uniformly converge to the corresponding strategies in the game model with continuous updating as the number of updating instants converges to infinity. Similar results are presented for an optimal trajectory (cooperative trajectory), equilibrium trajectory and corresponding payoffs.

KW - Differential games

KW - Dynamic updating

KW - Continuous updating

KW - Optimal control

KW - Feedback Nash equilibrium

KW - Continuous updating

KW - Differential games

KW - Dynamic updating

KW - Feedback Nash equilibrium

KW - Optimal control

UR - https://www.mendeley.com/catalogue/475cca81-6408-380b-89f9-8383e9ddcd8b/

U2 - 10.1007/s40305-023-00484-2

DO - 10.1007/s40305-023-00484-2

M3 - Article

VL - 12

SP - 51

EP - 75

JO - Journal of the Operations Research Society of China

JF - Journal of the Operations Research Society of China

SN - 2194-668X

ER -

ID: 107521566