The stable manifold for the discrete-time, one-sector optimal growth model is shown to be constructed by solving a functional equation for an implicit programming problem based on the planner's Euler equation. The implicit programming problem is described by a minimum-gain operator, and its...

The paper derives and illustrates a convenient implementation of a perturbation method for computing an approximate perfect foresight solution of a nonlinear rational-expectations model. The solution space is the set of finite Taylor-series approximations. In discussing this setting, Gaspar and...