Differential Game Model of Resource Extraction with Continuous and Dynamic Updating  

作　　者：Ovanes Petrosian Tihomirov Denis Jiang-Jing Zhou Hong-Wei Gao 

机构地区：[1]School of Mathematics,Harbin Institute of Technology,Harbin,150001,Heilongjiang,China [2]School of Automation,Qingdao University,Qingdao,266071,Shandong,China [3]Faculty of Applied Mathematics and Control Processes,Saint-Petersburg State University,Saint Petersburg,Russia [4]National Research University"High School of Economics",Saint-Petersburg,Russia [5]School of Mathematics and Statistics,Qingdao University,Qingdao,266071,Shandong,China

出　　处：《Journal of the Operations Research Society of China》2024年第1期51-75,共25页中国运筹学会会刊（英文）

基　　金：supported by Postdoctoral International Exchange Program of China,and corresponding author’work is also supported by the National Natural Science Foundation of China(No.72171126).

摘　　要：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.

关 键 词：Differential games Dynamic updating Continuous updating Optimal control Feedback Nash equilibrium 

分 类 号：O17[理学—数学]