Question

In: Economics

Robert Slow was a very influential economist that developed one of the most important models of...

  1. Robert Slow was a very influential economist that developed one of the most important models of economic growth. His main argument is the so-called convergence theory. Review section 20.4 - Economic Convergence and explain what economic convergence is. Briefly describe the arguments both in favor and against this idea of convergence. Which side are you on? Think about the cases of China and South Korea, they were once poor economies but now they are much closer to rich economies. But on the other hand, there are still many economies that continue to be poor. Why is that the case? What makes Asian countries successful and Latin American and African countries not?

Solutions

Expert Solution

*Convergence:-

Some low-income and middle-income economies around the world have shown a pattern of convergence, in which their economies grow faster than those of high-income countries. GDP increased by an average rate of 2.7% per year in the 1990s and 2.3% per year from 2000 to 2008 in the high-income countries of the world, which include the United States, Canada, the European Union countries, Japan, Australia, and New Zealand.

*Argument favouring convergence

Several arguments suggest that low-income countries might have an advantage in achieving greater worker productivity and economic growth in the future.

A first argument is based on diminishing marginal returns. Even though deepening human and physical capital will tend to increase GDP per capita, the law of diminishing returns suggests that as an economy continues to increase its human and physical capital, the marginal gains to economic growth will diminish. For example, raising the average education level of the population by two years from a tenth-grade level to a high school diploma (while holding all other inputs constant) would produce a certain increase in output. An additional two-year increase, so that the average person had a two-year college degree, would increase output further, but the marginal gain would be smaller. Yet another additional two-year increase in the level of education, so that the average person would have a four-year-college bachelor’s degree, would increase output still further, but the marginal increase would again be smaller. A similar lesson holds for physical capital. If the quantity of physical capital available to the average worker increases, by, say, $5,000 to $10,000 (again, while holding all other inputs constant), it will increase the level of output. An additional increase from $10,000 to $15,000 will increase output further, but the marginal increase will be smaller.

*Arguments against the idea of convergence

If the economy's growth depended only on the deepening of human capital and physical capital, then we would expect that economy's growth rate to slow down over the long run because of diminishing marginal returns. However, there is another crucial factor in the aggregate production function: technology.

Developing new technology can provide a way for an economy to sidestep the diminishing marginal returns of capital deepening. Figure 20.7 shows how. The figure's horizontal axis measures the amount of capital deepening, which on this figure is an overall measure that includes deepening of both physical and human capital. The amount of human and physical capital per worker increases as you move from left to right, from C1 to C2 to C3. The diagram's vertical axis measures per capita output. Start by considering the lowest line in this diagram, labeled Technology 1. Along this aggregate production function, the level of technology is held constant, so the line shows only the relationship between capital deepening and output. As capital deepens from C1 to C2 to C3 and the economy moves from R to U to W, per capita output does increase—but the way in which the line starts out steeper on the left but then flattens as it moves to the right shows the diminishing marginal returns, as additional marginal amounts of capital deepening increase output by ever-smaller amounts. The shape of the aggregate production line (Technology 1) shows that the ability of capital deepening, by itself, to generate sustained economic growth is limited, since diminishing returns will eventually set in.

*My take on convergence

Although economic convergence between the high-income countries and the rest of the world seems possible and even likely, it will proceed slowly. Consider, for example, a country that starts off with a GDP per capita of $40,000, which would roughly represent a typical high-income country today, and another country that starts out at $4,000, which is roughly the level in low-income but not impoverished countries like Indonesia, Guatemala, or Egypt. Say that the rich country chugs along at a 2% annual growth rate of GDP per capita, while the poorer country grows at the aggressive rate of 7% per year. After 30 years, GDP per capita in the rich country will be $72,450 (that is, $40,000 (1 + 0.02)30) while in the poor country it will be $30,450 (that is, $4,000 (1 + 0.07)30). Convergence has occurred. The rich country used to be 10 times as wealthy as the poor one, and now it is only about 2.4 times as wealthy. Even after 30 consecutive years of very rapid growth, however, people in the low-income country are still likely to feel quite poor compared to people in the rich country. Moreover, as the poor country catches up, its opportunities for catch-up growth are reduced, and its growth rate may slow down somewhat.

*Case of china and korea

From the perspective of conditional convergence, China’s GDP growth rate since 1990 has been surprisingly high. However, China cannot deviate forever from the global historical experience, and the per capita growth rate is likely to fall soon from around 8% per year to a range of 3 4%. China can be viewed as a middle-income convergence-success story, grouped with Costa Rica, Indonesia, Peru, Thailand, and Uruguay. Upper-income convergence successes comprise Chile, Hong Kong, Ireland, Malaysia, Poland, Singapore, South Korea, and Taiwan. China’s transition from middle- to upper-income status should not be hindered by a middle-income trap, which seems not to exist. The cross-country dispersion of the log of per capita GDP shows no trend since 1870 for 25 countries with long-term data. This group excludes emerging-market countries such as China and India. For 34 countries with data since 1896, there is clear evidence of declining dispersion starting around 1980. This pattern reflects especially the incorporation of China and India into the world market economy.

Now let's take the examples of china and south korea w.r.t Indonesia and Malaysia. We'll see why some economies grow faster than others.

Economists use GDP per capita as an indicator of a country’s productivity rate – the output it has produced over a certain period. The higher the per capita GDP of an economy, the higher the productivity of its citizens. South Korea and Taiwan’s high GDP reflects their high productivity rate compared to Malaysia and Indonesia.

Three things determine a country’s productivity: labour, capital, and something known as total factor productivity (TFP), which represents efficiency and technology. For example, better management systems to reduce red tape could signal efficiency, while the use of technology to automate tasks that would take up a lot of time if done manually, technology.

According to the Asian Productivity Organisation, TFP contributed 14% to Korea’s economic growth between 1970 and 2016, and 24% for Taiwan. Meanwhile, TFP only contributed 5% to Malaysia’s growth, and for Indonesia, the percentage is even lower: 1%. This means there’s very little technological advancement in Indonesia.


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