We study the role and design of private and public insurance programs when informal care is uncertain. Children's degree of altruism is randomly distributed over some interval. Social insurance helps parents who receive a low level of care, but it comes at the cost of crowding out informal care....

We study the role and design of private and public insurance programs when informal care is uncertain. Children's degree of altruism is randomly distributed over some interval. Social insurance helps parents who receive a low level of care, but it comes at the cost of crowding out informal care....

This paper provides a unified treatment of externalities associated with fertility and human capital accumulation as they relate to pension systems. It considers as overlapping generations model in which every generation consists of high earners and low earners with the proportion of types being...