Neoclassical Optimal Growth Model Research Articles

A Neoclassical Analysis of the Postwar Japanese Economy

Two key features of the postwar Japanese economy are the rapid economic growth during the 1960's and early 70's and the decline in labor supply during the rapid growth period. Taking the capital stock destruction and total factor productivity (TFP) as given, a standard neoclassical optimal growth model can account for the growth patterns of postwar Japanese capital stock, output, consumption, and investment. The decline in labor during the rapid growth period can be attributed to an income effect that occurs as household consumption rises above its subsistence level in this period.

Development and application of the theory of parametric regulation of evolution of economic systems based on a neoclassical model of optimal growth

Presented were some results on roughness of the mathematical model of the neoclassical theory of optimal growth with and without parametric regulation, selection of the optimal law of parametric regulation, and the optimal law of parametric regulation vs. the uncontrollable parameters of this mathematical model based on the parametric regulation theory.

WITCH - A World Induced Technical Change Hybrid Model

The need for a better understanding of future energy scenarios, of their compatibility with the objective of stabilizing greenhouse gas concentrations, and of their links with climate policy, calls for the development of hybrid models. Hybrid because both the technological detail typical of Bottom Up (BU) models and the long run dynamics typical of Top Down (TD) models are crucially necessary. We present WITCH - World Induced Technical Change Hybrid model - a neoclassical optimal growth model (TD) with energy input detail (BU). The model endogenously accounts for technological progress, both through learning curves affecting prices of new vintages of capital and through R&D investments. In addition, the model captures the main economic interrelationships between world regions and is designed to analyze the optimal economic and environment policies in each world region as the outcome of a dynamic game. This paper provides a detailed description of the WITCH model, of its baseline, and of the model calibration procedure.

A World Induced Technical Change Hybrid Model

The need for a better understanding of future energy scenarios, of their compatibility with the objective of stabilizing greenhouse gas concentrations, and of their links with climate policy, calls for the development of hybrid models. Hybrid because both the technological detail typical of Bottom Up (BU) models and the long run dynamics typical of Top Down (TD) models are crucially necessary. We present WITCH - World Induced Technical Change Hybrid model - a neoclassical optimal growth model (TD) with energy input detail (BU). The model endogenously accounts for technological progress, both through learning curves affecting prices of new vintages of capital and through R&D investments. In addition, the model captures the main economic interrelationships between world regions and is designed to analyze the optimal economic and environment policies in each world region as the outcome of a dynamic game. This paper provides a detailed description of the WITCH model, of its Baseline, and of the model calibration procedure.

The similarity method in stochastic dynamical systems

In the present article, the similarity method is formulated to stochastic dynamical systems described by stochastic differential equations of Stratonovich type. When a stochastic dynamical system admits symmetries, it follows that the order of stochastic equations describing the system can be reduced. Here a symmetry means an one-parameter continuous transformation which leaves the stochastic system invariant. Several examples are given, in which a nonlinear stochastic system, stochastic Hamiltonian dynamical systems related to the harmonic oscillator, and a stochastic version of the neo-classical optimal growth model suggested by Samuelson are contained.

Green manure and nitrogenous fertilizer—a two-sector optimal-growth model

AbstractA continuous-time model of a two-sector trading economy with a finitely-saturating production function and constant population is constructed. To apply it to the farm-economy problem of optimal trading of cereal for chemical nitrogenous fertilizer and of optimal allocation of land for green manure the special assumptions are made of similar technologies in both sectors and of a nitrogen-capital loss proportional to the cereal production. Optimal-control theory is applied to get the pair of controls that maximizes an infinite-horizon integral of utility of consumption. The analysis of the model is shown to reduce to that of the Ramsey-Koopmans one-sector neoclassical model of optimal growth. Calculations of the feedback control and optimal time-paths for the standardized dimensionless model are tabulated for a range of 7 utility functions of constant elasticity of marginal utility of magnitude 1 to 4 and of production functions of degree 2 to 4. Two particular analytic solutions are given. The application of the results both to the farm-economy model and to the Ramsey-Koopmans model is illustrated.