Optimal Taxation in the Endogenous Growth Framework with the Private Information

Differing from taxes of the new dynamic public finance theory without growth, our paper setups an endogenous growth model with the public finance sector which levies heterogeneous non-linear income taxes and linear flat-rate tax on gross outputs to guarantee the optimal investment in the public goods accumulation. Each taxation has individual effect: heterogeneous non-linear income taxes are used to keep standard Euler equation hold; flat-rate tax is used to compensate for the fiscal gap. The paper firstly makes the growth rate endogenous, and show there is a unique steady state growth rate for every aggregate variable by keeping assumptions of the dynamic general equilibrium theory unchangeable. We further prove the growth must exist when externalities are provided by public finance sector. The steady state growth rate can be expressed by coefficients, and the steady state intertemporal relationships of aggregate variables help us simplify simulation equations and calculations on endogenous heterogeneous non-linear income taxes in infinite periods.