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...

An analytical framework is developed to study the repercussions between endogenous capital- and labor-saving technical change and population aging. Following an intuition often attributed to Hicks (1932), I ask whether and how population aging affects the relative scarcity of factors of...

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...

Consider a two-product firm that decides on the quality of each product. Product quality is unknown to consumers. If the firm sells both products under the same brand name, consumers adjust their beliefs about quality subject to the performance of both products. We show that if the probability...

We study the effect of a declining labor force on the incentives to engage in labor-saving technical change and ask how this effect is influenced by institutional characteristics of the pension scheme. When labor is scarcer it becomes more expensive and innovation investments that increase labor...

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...

We scrutinize Thomas Piketty's (2014) theory concerning the relationship between an economy's long-run growth rate, its capital-income ratio, and its factor income distribution put forth in his recent book Capital in the Twenty-First Century. We find that a smaller long-run growth rate may be...

Prettner (2019) studies the implications of automation for economic growth and the labor share in a variant of the Solow-Swan model. The aggregate production function allows for two types of capital, traditional and automation capital. Traditional capital and labor are imperfect substitutes...