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The evidence for the United States points to balanced growth despite falling investment-good prices and a less-than-unitary elasticity of substitution between capital and labor. This is inconsistent with the Uzawa Growth Theorem. We extend Uzawïs theorem to show that the introduction of human capital accumulation in the standard way does not resolve the puzzle. However, balanced growth is possible if education is endogenous and capital is more complementary with schooling than with raw labor. We present a class of aggregate production functions for which a neoclassical growth model with capital-augmenting technological progress and endogenous schooling converges to a balanced growth path.

This paper presents a closed-form solution to the Uzawa-Lucas endogenous growth model with human and physical capital. Our result also applies if an external effect in the use of human capital in goods production occurs. Using the \"guess-and-verify\" method, we determine the two value functions of the social planner in the centralized economy and of the representative agent in the decentralized case. We show that the introduction of income taxes on wages and of a subsidy on physical capital earnings helps the decentralized economy in reaching the social optimum, while keeping the policy maker's budget balanced. Finally, we derive the time-series implications of the model's solution.

This article presents a growth model of a small open city with economic structure and geography. The city which is located along a line segment has three, industrial, services and housing, sectors. The spatial growth model of a small city synthesizes the main ideas in some important models in the neoclassical growth theory, urban economics, and the literature of economic growth of small open economies. We show that the dynamic system has a unique equilibrium. We also simulate the motion of the urban economy over time and space. The unique feature of our approach is to treat production activities, economic structure, residential distribution, capital accumulation, and consumption on the basis of microeconomic mechanism as an integrated whole. Our simulation provides some important insights into the processes of the urban economic growth. For instance, under certain conditions, when the industrial sector’s productivity is increased, the wage rate, price of services, capital intensities of the services and industrial sectors, and per-worker output levels of the two sectors are increased. The total labor supply, the capital stocks employed by the three sectors and the labor forces by the service and industrial sectors are all increased. The shares of the three sectors are not affected by the technological change in the long term, even though the shares are initially affected. The per capita consumption level of the industrial goods rises and the consumption level of services falls. The land and housing rents are increased and the consumption of housing per household falls. Moreover, the current account balance tends to be more in surplus and the growth rate is increased.