In this paper, we investigate an energy harvesting and cooperation protocol in hybrid green cellular networks, where power beacons (PBs) overlaying with an uplink cellular network. PBs harvest renewable energy from the nature and then charge mobile terminals (MTs) with microwave power transfer in energy beamforming. The network is powered by green energy only. Owing to the space-time instability and non-uniformity of renewable energy, some PBs' energy may not be enough to support the communication. We propose a bargaining-based Green Energy Allocation Game (GEAG) and introduce a dual-level control architecture for implement green energy cooperation to improve the performance of the system. The optimal power allocation problem is solved by the Nash bargaining solution (NBS). Simulation results show that the proposed GEAG algorithm can achieve 84% gains of MT's average rate and 75% reductions of the outage probability over the conventional green energy cooperation scheme.