Based on the Stackelberg game with decode and forward protocol for physical layer security in the heterogeneous wireless networks

Abstract Using wireless relay nodes to cooperate is a very important helpful way to improve the physical layer security performance. In this paper, in the presence of an eavesdropping node between the source and destination nodes, a decoded and forward technology is used to form a virtual beam through the relay nodes, which selectively enables the main lobe to point to the destination node to achieve the secure communication of the physical layer. However, this situation often requires the assumption that the relay nodes involved in collaborative help can unconditionally and unselfishly assist other nodes in secure communication. In the actual heterogeneous wireless network environment, each wireless node has selfishness, and their relationship is not only cooperative but also competitive. First, in order to encourage the active participation of the relay nodes, the relationship between the source nodes and the cooperative relay nodes is modeled as the Stackelberg game. Through this game, the dynamic compensation of the power consumed for the cooperative nodes is achieved. Then, in order to promote the virtuous competition among the relay nodes involved in the cooperation, the competition relationship among the participating cooperation nodes is constructed as a noncooperative game. The game will enable all cooperative relay nodes to dynamically and reasonably charge the consumed power. In the case of a certain security rate, this paper proves the power allocation of the source node and the cooperative relay node, as well as the existence and uniqueness of the equilibrium point of the power price. And the convergent search algorithm is given. The simulation results show that the distribution power of the source node and the cooperative relay node will be dynamically optimized with the dynamic change of channel characteristics. The power pricing of the relay nodes will also change with the dynamic changes of channel characteristics and node distribution. In addition, when the number of relay nodes participating in cooperation exceeds 6, the additional revenue to the source node is less