A family of optimal control problems for economic models, where state variables are driven by delay differential equations (DDEs) and subject to constraints, is treated by Bellman's dynamic programming in infinite dimensional spaces. An existence theorem is provided for the associated...

Economic and demographic models governed by linear delay differential equations are expressed as optimal control problems in infinite dimensions. A general objective function is considered and the concavity of the Hamiltonian is not required. The value function is a viscosity solution of the...

This survey of economic growth theory applied to epidemiology highlights that Blanchard-Yaari structures involving a Lucas human capital accumulation are appropriate to study an AIDS-like crisis. Physical capital accumulation, schooling, health expenditures and supply effects are put together...

A comprehensive study of the linkages between demographic and economic variables should not only account for vintage specificity but also incorporate the relevant economic and demographic decisions in a complete optimal control set-up. A methodological set-up allowing to reach these objectives...