Assessing the sustainability efficiency of a supply chain network (SCN) is a complex issue due to the inherent conflict of interest among components. In these systems, there are two levels of conflict of interest: on the one hand, network players, including suppliers, manufacturers, retailers, etc., have conflicting interests. On the other hand, the three sustainability goals, namely economic, social and environmental, are not in line with each other. Improvement in one of these goals is not possible while keeping the others constant. Using hybrid models of game network data envelopment analysis (GNDEA), this study presented a new framework to measure an Iranian pharmaceutical company’s supply chain network sustainability efficiency (SCNSE). This was done considering two levels of conflict of interest simultaneously, which is the main contribution of this study. The proposed model also measures the performance of components and the entire network in all three dimensions of sustainability. It enables managers to gain a better insight into the sustainability efficiency of an SCN and its individual components. Acquiring this knowledge allows managers to identify system weaknessesand design more effective improvement plans. Future studies can develop models for appraising the sustainability efficiency of an SCN under uncertain conditions considering different players.