Abstract: Conventional energy efficiency functions in devicetodevice communication systems can only capture instantaneous data traffic, and cannot obtain energy efficiency of data traffic during a specific time period. Therefore, the product of throughput and terminal battery life is taken as the utility function to maximize the throughput during the terminal battery life and to model it as nonconperative power control game problem and get its Nash equilibrium solution. However, theoretical analysis shows that the Nash equilibrium solution is not Pareto efficient, so a power linear cost function is introduced to improve the utility function. Finally, in order to obtain the Pareto dominant solution, the properties of this Nash equilibrium solution are studied by using the supermode game theory, and a lowcomplex bilevel iterative optimal price equilibrium algorithm is designed. Theoretical analysis and simulation results show that the proposed algorithm not only improves the system utility value and terminal battery life, but also maintains the system fairness.

Key words: devicetodevice (D2D) communication, power control, noncooperative game, pricing, Pareto dominant