Income tax, subsidies to education, and investments in human capital in a two-sector economy

The paper studies a two-sector economy with investments in human and physical capital and imperfect labor markets. Workers and firms endogenously select the sector they are active in, and choose the amount of their investments. To enter the high-skill sector, workers must pay a fixed cost that we interpret as direct cost of education. The economy is characterized by two different pecuniary externalities. Given the distribution of the agents across sectors, at equilibrium, in each sector there is underinvestment in both human and physical capital, due to non-contractibility of investments. A second pecuniary externality is induced by the self-selection of the agents in the two sectors. When total factor productivities are sufficiently diverse, subsidies to labor income in the low skill sector and fixed taxes on the direct costs of education increase total surplus, while subsidies to labor income in the high skill sector can actually reduce it.Human capital; Efficiency; Labour income tax

Competitive Equilibria with Production and Limited Commitment

This paper studies a production economy with aggregate uncertainty where consumers have limited commitment on their financial liabilities. Markets are endogenously incomplete due to the fact that the borrowing constraints are determined endogenously. We first show that, if competitive financial intermediaries are allowed to set the borrowing limits, then the ones that prevent default will be an equilibrium outcome. The equilibrium allocations in this economy are not constrained efficient due to the fact that intermediaries do not internalize the adverse effects of capital on default incentives. We also isolate and quantifiy this new source of inefficiency by comparing the competitive equilibrium allocations to the constrained efficient ones both qualitatively and quantitatively. We tend to observe higher capital accumulation in the competitive equilibrium, implying that agents may enjoy higher (average) welfare in the long run than in the constrained efficient allocation.Enforcement Constraints, Intermediation, Risk Sharing, Capital Accumulation.