Abstract In this paper, firstly, on the basis of Marx’s theory of intersubjectivity, we use the concept of teachers and students as the main body of each other to construct the interactive teaching mode and mechanism of teachers and students in Civics courses and actively explore the path and prospect of interactive teaching of Civics in courses in the new era. Then we use the pure strategy game in game theory to determine the performance production function, and then we use Nash equilibrium to obtain the teacher utility function and student utility function on the basis of the performance production function so as to further construct the game model of teacher-student behavior in the teaching process of Civics courses, and analyze the teacher-student interaction in the Civics of higher education courses by using the game model. The results show that in the pure strategy game analysis of teacher-student behavior, 0.3872 teachers will choose to reduce teaching inputs, while the other 0.6128 teachers will choose to reduce teaching inputs to “almost no” or “very little”, i.e., the optimal choice strategy is “no” or “very little”, i.e., the optimal choice strategy is “no” or “very little”. The optimal choice strategy is “no reduction in instructional inputs”. In the Nash equilibrium analysis of teacher-student behavior, the equilibrium value of the teacher-student behavior game is (42.22% and 64.59%), and teachers and students need to continuously improve their behavioral strategy choices in order to achieve the maximum utility value of each other. This study improves the quality of teaching and ultimately achieves the objective of Civic Education.