Competitive wireless energy transfer bidding: A game theoretic approach

Wireless or RF energy transfer will be capable of supplying energy to mobile nodes for packet transmission without physical battery changing or replacement. In this paper, we consider the network in which the access point can transfer wireless energy to the nodes and the nodes use that energy to transmit packets. The nodes can send requests (i.e., bids) to the access point for transferring wireless energy. As the access point adopts auction mechanism for wireless energy transfer, we formulate a noncooperative game to analyze the competitive wireless energy transfer bidding of the nodes. The Nash equilibrium is considered to be a solution of the game. To reach the Nash equilibrium, the nodes as players can adapt their strategies based on stochastic response dynamic. The Markov chain is used to analyze the properties of the game (e.g., convergence). The numerical results clearly show the convergence of the bidding strategy adaptation of the nodes toward the Nash equilibrium.