Sports can promote physical and mental health and the development of personality. How to build a balanced development evaluation system for sports and find a quality education suitable for the school are particularly important. In this article, we use edge computing technology to design a balanced development framework for sports. The framework will guide students to actively participate in physical exercise and develop sports to a higher, more comprehensive level. Then, the equilibrium game model is used to analyse the evaluation system of the balanced development of college sports. The research results show that the university sports balanced development evaluation system has good application prospects. The empirical analysis results verify its accuracy and reliability.