Do Mincerian Wage Equations Inform How Schooling Influences Productivity?

We study the links between the Mincerian wage equation (the cross-sectional relationship between wages and years of schooling) and the human capital production function (the causal effect of schooling on labor productivity). Based on a stylized Mincerian general equilibrium model with imperfect substitutability across skill types and ex ante identical workers, we demonstrate that the mechanism of compensating wage differentials renders the Mincerian wage equation uninformative for the human capital production function. Proper identification of the human capital production function should take into account the equilibrium allocation of individuals across skill types.