Most growth models assume capital is homogeneous with regard to technology. This contradicts intuition and empirical evidence that the majority of technology is embodied in the capital stock. Berger (2001) showed that neoclassical vintage capital (embodied technology) and non-vintage capital...

This paper describes the numerical optimization methods used in Berger (2001) to find the complete time paths of key economic variables in neoclassical vintage capital models. An interior and a non-interior point method are discussed. Both of the methods are part of the general class of...

This note describes methods for solving deterministic and stochastic versions of the discrete-time Ramsey model of economic growth. We derive an iterative procedure for solving the Euler equation and apply it to an example adapted from Pan (2007).

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...

Most growth models assume capital is homogeneous. This contradicts intuition and empirical evidence that the majority of technology is embodied in the capital stock. Classic papers from the late 1950's and 1960's show that non-optimization models display the same asymptotic growth rates whether...

The paper concerns the study of equilibrium points, or steady states, of economic systems arising in modelling optimal investment with vintage capital, namely, systems where all key variables (capitals, investments, prices) are indexed not only by time τ but also by age s. Capital accumulation...