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Differential Game Model of Resource Extraction with Continuous and Dynamic Updating : Differential Game Model of Resource Extraction with Continuous and Dynamic Updating. / Петросян, Ованес Леонович; Tihomirov , Denis; Чжоу, Цзянцзин; Гао, Хунвэй.
в: Journal of the Operations Research Society of China, 04.07.2023.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Differential Game Model of Resource Extraction with Continuous and Dynamic Updating
T2 - 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 - 2023/7/4
Y1 - 2023/7/4
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
JO - Journal of the Operations Research Society of China
JF - Journal of the Operations Research Society of China
SN - 2194-668X
ER -
ID: 107521566