Differential fertility and intergenerational mobility under private versus public education

We study differential fertility and intergenerational mobility in an overlapping-generations framework with skilled and unskilled individuals. Assuming unskilled parents are less productive in educating children, we show that they choose higher fertility but less investment for child education than skilled parents. Public education reduces the fertility gap but may increase intergenerational mobility under certain conditions. We also find very different responses of fertility differential and intergenerational mobility to a variation in a preference or technology parameter. As the ratio of skilled to working population rises towards its steady state, average income rises, average fertility falls, but income inequality first rises and then falls.