Chapter 11: Long-Run Economic Growth – Key Concepts and Theories

Long-Run Economic Growth

Per Worker Production Function

The per worker production function describes the relationship between Real GDP per hour worked and capital per hour worked, assuming the level of technology is constant. This function is fundamental for understanding how economies grow over time.

• Diminishing Returns: The initial increases in capital per worker lead to significant gains in output, but as capital continues to increase, the additional output generated from each new unit of capital becomes smaller. This phenomenon is known as diminishing returns.

• Formula: The typical form of the per worker production function is: $Y = A \cdot F(K, L)$ where $Y$ is output, $A$ is technology, $K$ is capital, and $L$ is labor.

• Graphical Representation: The production function curve becomes flatter as capital increases, illustrating diminishing returns.

Example: If a factory adds more machines (capital) for each worker, output rises quickly at first, but after a certain point, adding more machines yields less additional output per worker.

Technological Change and Economic Growth

Technological change refers to improvements in the methods of producing goods and services. Unlike capital, technological change does not experience diminishing returns and is crucial for sustained long-run growth.

• Key Point: In the long run, a country can only achieve a rising standard of living if it experiences ongoing technological change.

• Impact: Technological advancements shift the production function upward, allowing more output from the same amount of capital and labor.

Example: The introduction of computers and the internet significantly increased productivity across many industries, leading to higher economic growth.

New Growth Theory

The New Growth Theory is a model of long-run economic growth that emphasizes the role of economic incentives in driving technological change. It highlights the importance of knowledge capital and innovation.

• Knowledge Capital: Refers to the stock of knowledge, skills, and innovations that contribute to production. It is a key determinant of economic growth.

• Economic Incentives: Policies and market conditions that encourage firms and individuals to invest in research and development (R&D).

Example: Tax credits for R&D spending can stimulate firms to innovate, leading to technological progress and economic growth.

Knowledge Capital as a Public Good

Knowledge capital is characterized as nonrival (one person's use does not reduce its availability to others) and nonexcludable (it is difficult to prevent others from using it). This makes it a public good, resulting in increasing returns to scale at the economy-wide level.

• Increasing Returns: As more people and firms use knowledge capital, the overall productivity of the economy increases.

• Difference from Physical Capital: Unlike physical capital, knowledge capital does not get used up and can be shared widely.

Example: Once a new technology is invented, many firms can adopt it, benefiting the entire economy.

Government Role in Promoting Economic Growth

Because knowledge capital is a public good, there is a risk of free riding—individuals or firms benefiting from innovations without paying for them. Governments play a crucial role in encouraging innovation and protecting intellectual property.

• Free Riding: Occurs when people benefit from goods and services they do not pay for, reducing the incentive to innovate.

• Patents and Copyrights: Legal protections that give inventors and creators exclusive rights to their innovations for a certain period, encouraging investment in R&D.

• Subsidizing Research and Development: Governments may provide grants, tax incentives, or direct funding to support innovation.

• Subsidizing Education: Investing in education increases the stock of human capital, which is essential for technological progress.

Example: The U.S. government funds basic scientific research at universities, which often leads to technological breakthroughs adopted by private industry.

Catch-Up Effect

The catch-up effect (or convergence) refers to the tendency for poorer countries to grow more rapidly than richer countries, as they adopt existing technologies and practices.

• Mechanism: Developing countries can increase productivity quickly by implementing technologies already used in advanced economies.

• Limitation: Catch-up is not automatic; it depends on factors such as institutions, education, and openness to trade.

Example: Many East Asian economies experienced rapid growth in the late 20th century by adopting Western technologies and investing in education.