This paper introduces a new integrated approach to measure unified efficiency of the healthcare systems. Health centers as an important part of the healthcare systems are considered for evaluation. For this purpose, we define two categories of inputs to measure performance of health centers based on medical human resources and characteristics of spatial information by using geographic information system (GIS). Catching the balance in the spatial distribution of populations and services is one of the main problems in health centers evaluation. On the other hand, data envelopment analysis (DEA) is widely applied for measuring efficiency of the healthcare systems. But, the conventional DEA models may fail to integrated several categories of measures. In this paper, DEA and bargaining game model are integrated for evaluation of health centers. In other words, two categories of measures are used to measure unified efficiency for each health center in the competitive environment. Two models according to constant return to scale (CRS) and variable return to scale (VRS) assumptions are developed. The case study of health centers under supervising of Tehran university of medical sciences (TMUS) is presented to show the abilities of the proposed approach.