explain inequality across generations
i. large part of human capital investment can come from an agents parents
ii. high income parents often invest more in the education of their children, creating a positive correlation between the socio-economic level of children and parens (rate of social mobility)
iii. the slope of the regression line between child and parental earnings is called the intergenerational correlation
iv. slope = 1: the parents earning wage gap persists entirely into the next generation
slope = 0: wage of children and parents is independent
v. income differences across families converge to the mean income of the population - parents don't invest all their wealth and they encounter diminishing returns when investing in their children