Stackelberg Differential Game based Resource Allocation in Wireless Networks with Fog Computing

Fog computing is a kind of new calculation mode using numerous and mutually collaborative terminal devices or edge devices to provide services such as storage, computing etc. Fog computing extends the cloud computing to the edge of the network, solves the problems of cloud computing being limited to the aspects such as location awareness, weak mobility application adaptability, high service delay etc. In this paper, we investigate the resource allocation problem between the fog server and the end terminals in a fog computing based wireless networks, where resources transactions exist between the fog server and the terminals. The Stackelberg game is used to formulate the transaction relationships, the fog server acts as the leader, which control the price for the resource transactions. The terminals act as the followers, and control their available resources. Meanwhile, the energy state of the networks is formulated based on the differential game. Then the resource allocation problem can be considered as a Stackelberg differential game. We use the feedback Nash equilibriums solution to the proposed game as the optimal solutions. We also give some numerical simulations and results for how to allocate the resources based on the proposed algorithms.