This paper studies optimal education subsidies when parental transfers are unequally distributed across students and cannot be publicly observed. After documenting substantial inequality in parental transfers among US college students with similar family resources, I examine its implications for how the education subsidy should vary with schooling level and family resources to minimize inefficiencies generated by borrowing constraints.
Many decentralized markets are able to attain a stable outcome despite the absence of a central authority (Roth and Vande Vate, 1990). A stable matching, however, need not be efficient if preferences are weak. This raises the question whether a decentralized market with weak preferences can attain Pareto efficiency in the absence of a central matchmaker.