Optimal Tax Policies for Social Mobility with Wealth and Education Investments

We consider a society where social mobility is influenced by parental wealth transfers and education investments. Specifically, the educational investments capture the time parents devote to the education of their children. We show that, in the absence of government intervention, the market equilibrium results in a level of upward social mobility lower than that in an ideal first-best scenario. Given the challenge of observing individual characteristics, we characterize the second-best solution achievable through the implementation of non-linear taxation. We consider two alternative government objectives: a weighted utilitarian criterion and a Rawlsian criterion. Additionally, we explore the implications of two alternative informational assumptions: whether educational investments are observable or non-observable.