In this paper we develop a discretized version of the dynamic programming algorithm and derive error bounds for the approximate value and policy functions. We show that under the proposed scheme the computed value function converges quadratically to the true value function and the computed...

The principal aim of this article is to provide commentary on the use of high-performance computers combined with numerical algorithms in the investigation of mathematical models of economic activity. The use of computer simulation to provide insight into mathematical models is distinguished...

In this paper we analyze the rate of convergence to a balanced path in a class of endogenous growth models with physical and human capital. We show that such rate depends locally on the technological parameters of the model, but does not depend on those parameters related to preferences. These...

Recent research has focused on the dynamics of the Lucas-Uzawa model of endogenous growth (e.g., Caballé-Santos (1993), Chamley (1993) and Faig (1993)). This model allows for permanent growth of both consumption and investment, propelled by a human capital technology. In contrast to the...

We analyze a stochastic growth model with lags in the operation of new technologies. Stock values are impacted by news on technological innovations and some other external shocks affecting the economy. Episodes of technology adoption may generate long fluctuations in the aggregate value of...

This paper provides a fairly systematic study of general economic conditions under which rational asset pricing bubbles may arise in an intertemporal competitive equilibrium framework. Our main results are concerned with nonexistence of asset pricing bubbles in those economies. These results...

In this paper we analyze a discretized version of the dynamic programming algorithm for a parameterized family of infinite-horizon economic models, and derive error bounds for the approximate value and policy functions. If h is the mesh size of the discretization, then the approximation error...

In this article, we propose a recursive equilibrium algorithm for the numerical simulation of nonoptimal dynamic economies. This algorithm builds upon a convergent operator over an expanded set of state variables. The fixed point of this operator defines the set of all Markovian equilibria. We...

In this paper we are concerned with the equilibrium dynamics of a two-sector model of endogenous growth with distortionary taxes. We show that for certain parameters values and tax schemes every equilibrium orbit--except the steady state solution--is non-interior; i.e., there are times in which...

This paper studies first-order differentiability properties of the value function in concave dynamic programs. Motivated by economic considerations, we dispense with commonly imposed interiority assumptions. We suppose that the correspondence of feasible choices varies with the vector of state...