This paper constructs an axiomatic model of the political economy of education, with the drive for capital accumulation and class reproduction as its core axioms. It posits three fundamental social constraints: procedural fairness, systemic stability, and resource scarcity. From this foundation, we derive key theorems such as the inevitability of information asymmetry, inflation of selection criteria, and the fertility penalty. The model reveals the educational system as an alienated machine for capital accumulation, where students, as unpaid producers, engage in self-exploitation that forms the absolute source of surplus value. This study provides a unified theoretical framework for understanding contemporary educational dilemmas.