  This paper investigates a secure wireless-powered device-to-device (D2D)
communication network in the presence of multiple eavesdroppers, where a hybrid
base station (BS) in a cellular network not only provides power wirelessly for
the D2D transmitter to guarantee power efficiency for the D2D network, but also
serves as a cooperative jammer (CJ) to interfere with the eavesdroppers. The
cellular and D2D networks can belong to different service providers, which
means that the D2D transmitter would need to pay for the energy service
released by the hybrid BS to guarantee secure D2D communication. In order to
exploit the hierarchical interaction between the BS and the D2D transmitter, we
first formulate a Stackelberg game based energy trading scheme, where the
quadratic energy cost model is considered. Then, a non-energy trading based
Stackelberg game is investigated to study the reversed roles of the BS and the
D2D users. For comparison, we also formulate and resolve the social welfare
optimization problem. We derive the closed-form Stackelberg equilibriums of the
formulated games and the optimal solutions for the social welfare optimization
problem. Simulation results are provided to validate our proposed schemes to
highlight the importance of energy trading interaction between cellular and D2D
networks.
