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 tha...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.展开更多
In this paper,we have proposed a differential game model to optimally solve the resource allocation problems in the edge-computing based wireless networks.In the proposed model,a wireless network with one cloud-comput...In this paper,we have proposed a differential game model to optimally solve the resource allocation problems in the edge-computing based wireless networks.In the proposed model,a wireless network with one cloud-computing center(CC)and lots of edge services providers(ESPs)is investigated.In order to provide users with higher services quality,the ESPs in the proposed wireless network should lease the computing resources from the CC and the CC can allocate its idle cloud computing resource to the ESPs.We will try to optimally allocate the edge computing resources between the ESPs and CC using the differential game and feedback control.Based on the proposed model,the ESPs can choose the amount of computing resources from the CC using feedback control,which is affected by the unit price of computing resources controlled by the CC.In the simulation part,the optimal allocated resources for users’services are obtained based on the Nash equilibrium of the proposed differential game.The effectiveness and correctness of the proposed scheme is also verified through the numerical simulations and results.展开更多
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).
文摘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.
基金This paper is supported by Natural Science Foundation of China,No.61971032the Fundamental Research Funds for the Central Universities,No.FRF-TP-18-008A3.
文摘In this paper,we have proposed a differential game model to optimally solve the resource allocation problems in the edge-computing based wireless networks.In the proposed model,a wireless network with one cloud-computing center(CC)and lots of edge services providers(ESPs)is investigated.In order to provide users with higher services quality,the ESPs in the proposed wireless network should lease the computing resources from the CC and the CC can allocate its idle cloud computing resource to the ESPs.We will try to optimally allocate the edge computing resources between the ESPs and CC using the differential game and feedback control.Based on the proposed model,the ESPs can choose the amount of computing resources from the CC using feedback control,which is affected by the unit price of computing resources controlled by the CC.In the simulation part,the optimal allocated resources for users’services are obtained based on the Nash equilibrium of the proposed differential game.The effectiveness and correctness of the proposed scheme is also verified through the numerical simulations and results.
