The Inada (1963) conditions constitute a defining property of the neoclassical production function with capital and labor as arguments. Are these conditions justifiable on economic grounds? Yes, they are: we show that a production function with positive, yet diminishing marginal products and...

The determinants of the direction of technical change and their implications for economic growth and economic policy are studied in the one-sector neoclassical growth model of Ramsey, Cass, and Koopmans extended to allow for endogenous capital- and labor-augmenting technical change. We develop a...

Uzawaś steady-state growth theorem (Uzawa (1961)) is generalized to a neoclassical economy that uses current output, e. g., to create technical progress or to manufacture intermediates. The difference between aggregate final-good production and these resources is referred to as net output. The...

A common perception about the neoclassical growth model is that an economy devoid of capital cannot evolve to strictly positive levels of output if capital is essential. We challenge this view by positing a broad class of production functions, encompassing the neoclassical production function,...

In a neoclassical economy with endogenous capital- and labor-augmenting technical change the steady-state growth rate of output per worker is shown to increase in the elasticity of substitution between capital and labor. This confirms the assessment of Klump and de La Grandville (2000) that the...

We propose an innovation-driven growth model in which education is determined by family background and cognitive ability. We show that compulsory schooling can move a society from elite education to mass education, which then triggers market R&D. This means that our model rationalizes two...

What is a good reduced-form representation of Ramsey-Cass-Koopmans. (RCK) model? Solow's model (despite non-optimizing agents) provides predictions largely consistent with a closed-economy RCK but fundamentally differs regarding open-economy income convergence. Where RCK predicts partial income...

To gain insights into the mechanisms that shape the interaction between economic growth and climate change, we analyze the simplified DICE through the lens of growth theory. We analytically show that this model exhibits a continuum of saddle-point stable steady states, a property that carries...

A balanced growth path that accounts for a decline in hours worked per worker approximates the evolution of today’s industrialized countries since 1870. This stylized fact is explained in an OLG-model featuring two-period lived individuals equipped with per-period utility functions of the...

In this paper we show that we can replace the assumption of constant discount rate in the onesector optimal growth model with the assumption of decreasing marginal impatience without losing major properties of the model. In particular, we show that the steady state exists, is unique, and has a...