Endogenous productivity and equality of opportunity

We consider a production economy ??à la Mirrlees?? in which the earnings capability of individuals is endogenous. Individuals are heterogeneous with respect to their preferences and their propensity to benefit from a given investment in human capital. We look for allocation rules satisfying properties that capture the objective of equalizing opportunities. We characterize four allocation rules that both encompass different perspectives of equality of opportunity and justify different levels of public intervention.