We investigate the optimal strategy of service supply chain (SSC) including one integrator and two suppliers under a two-layer game structure. Service integrator decides social responsibility and service price, while the two service suppliers with quality preference determine their quality efforts, respectively. By analyzing the two-layer game structure and eight different scenarios of decision models (i.e., CD, DD, ICD, IDD, ISD, SCD, SDD, and SSD), we establish members’ utility functions under different decision models. Meanwhile, based on game theory, the optimal strategies of SSC are obtained. Mathematical reasoning and numerical simulations show that, firstly, quality preference has impact on optimal strategy and members’ utilities under different constraints. Secondly, utility of supply chain with integrator as a leader is greater than the case with suppliers as the leader.