We present an application of the Dynamic Programming (DP) and of the Maximum Principle (MP) to solve an optimization over time when the production function is linear in the stock of capital (Ak model). Two views of capital are considered. In one, which is embraced by the great majority of...

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. In this paper, a methodological set-up allowing to reach...

This note considers a linear programming formulation of the problem of the firm. A neoclassical non-increasing labour demand function is derived from the solution of the linear program. Only a set of measure zero on this function, one or two points in the examples examined, provides equilibria...