Applications of the Production Possibilities Model

Comparative Advantage and International Trade

One of the most important implications of the concepts of comparative advantage and the production possibilities curve relates to international trade. We can think of different nations as being equivalent to Christie Ryder’s plants. Each will have a comparative advantage in certain activities, and efficient world production requires that each nation specialize in those activities in which it has a comparative advantage. A failure to allocate resources in this way means that world production falls inside the production possibilities curve; more of each good could be produced by relying on comparative advantage.

If nations specialize, then they must rely on each other. They will sell the goods in which they specialize and purchase other goods from other nations. Suppose, for example, that the world consists of two continents that can each produce two goods: South America and Europe can produce food and computers. Suppose they can produce the two goods according to the tables in Panels (a) and (b) of Figure 2.9 "Production Possibilities Curves and Trade". We have simplified this example by assuming that each continent has a linear production possibilities curve; the curves are plotted below the tables in Panels (a) and (b). Each continent has a separate production possibilities curve; the two have been combined to illustrate a world production possibilities curve in Panel (c) of the exhibit.

Figure 2.9 Production Possibilities Curves and Trade

Suppose the world consists of two continents: South America and Europe. They can each produce two goods: food and computers. In this example, we assume that each continent has a linear production possibilities curve, as shown in Panels (a) and (b). South America has a comparative advantage in food production and Europe has a comparative advantage in computer production. With free trade, the world can operate on the bowed-out curve GHI, shown in Panel (c). If the continents refuse to trade, the world will operate inside its production possibilities curve. If, for example, each continent were to produce at the midpoint of its production possibilities curve, the world would produce 300 computers and 300 units of food per period at point Q. If each continent were to specialize in the good in which it has a comparative advantage, world production could move to a point such as H, with more of both goods produced.

The world production possibilities curve assumes that resources are allocated between computer and food production based on comparative advantage. Notice that, even with only two economies and the assumption of linear production possibilities curves for each, the combined curve still has a bowed-out shape. At point H, for example, South America specializes in food, while Europe produces only computers. World production equals 400 units of each good. In this situation, we would expect South America to export food to Europe while Europe exports computers to South America.

But suppose the regions refuse to trade; each insists on producing its own food and computers. Suppose further that each chooses to produce at the midpoint of its own production possibilities curve. South America produces 100 units of computers and 200 units of food per period, while Europe produces 200 units of computers and 100 units of food per period. World production thus totals 300 units of each good per period; the world operates at point Q in Figure 2.9 "Production Possibilities Curves and Trade". If the two continents were willing to move from isolation to trade, the world could achieve an increase in the production of both goods. Producing at point H requires no more resources, no more effort than production at Q. It does, however, require that the world’s resources be allocated on the basis of comparative advantage.

The implications of our model for trade are powerful indeed. First, we see that trade allows the production of more of all goods and services. Restrictions on trade thus reduce production of goods and services. Second, we see a lesson often missed in discussions of trade: a nation’s trade policy has nothing to do with its level of employment of its factors of production. In our example, when South America and Europe do not engage in trade and produce at the midpoints of each of their respective production possibilities curves, they each have full employment. With trade, the two nations still operate on their respective production possibilities curves: they each have full employment. Trade certainly redistributes employment in the two continents. In South America, employment shifts from computer production to food production. In Europe, it shifts from food production to computer production. Once the shift is made, though, there is no effect on employment in either continent.

Of course, this idealized example would have all of South America’s computer experts becoming farmers while all of Europe’s farmers become computer geeks! That is a bit much to swallow, but it is merely the result of assuming linear production possibilities curves and complete specialization. In the real world, production possibilities curves are concave, and the reallocation of resources required by trade is not nearly as dramatic. Still, free trade can require shifts in resources from one activity to another. These shifts produce enormous benefits, but they do not come without costs.

Nearly all economists agree that largely unrestricted trade between countries is desirable; restrictions on trade generally force the world to operate inside its production possibilities curve. In some cases restrictions on trade could be desirable, but in the main, free trade promotes greater production of goods and services for the world’s people. The role of international trade is explored in greater detail in subsequent chapters of this book.

Economic Growth

An increase in the physical quantity or in the quality of factors of production available to an economy or a technological gain will allow the economy to produce more goods and services; it will shift the economy’s production possibilities curve outward. The process through which an economy achieves an outward shift in its production possibilities curve is called economic growthThe process through which an economy achieves an outward shift in its production possibilities curve.. An outward shift in a production possibilities curve is illustrated in Figure 2.10 "Economic Growth and the Production Possibilities Curve". In Panel (a), a point such as N is not attainable; it lies outside the production possibilities curve. Growth shifts the curve outward, as in Panel (b), making previously unattainable levels of production possible.

Figure 2.10 Economic Growth and the Production Possibilities Curve

An economy capable of producing two goods, A and B, is initially operating at point M on production possibilities curve OMR in Panel (a). Given this production possibilities curve, the economy could not produce a combination such as shown by point N, which lies outside the curve. An increase in the factors of production available to the economy would shift the curve outward to SNT, allowing the choice of a point such as N, at which more of both goods will be produced.

The Sources of Economic Growth

Economic growth implies an outward shift in an economy’s production possibilities curve. Recall that when we draw such a curve, we assume that the quantity and quality of the economy’s factors of production and its technology are unchanged. Changing these will shift the curve. Anything that increases the quantity or quality of the factors of production available to the economy or that improves the technology available to the economy contributes to economic growth.

Consider, for example, the dramatic gains in human capital that have occurred in the United States since the beginning of the past century. In 1900, about 3.5% of U.S. workers had completed a high school education. By 2009, that percentage rose almost to 92. Fewer than 1% of the workers in 1900 had graduated from college; as late as 1940 only 3.5% had graduated from college. By 2009, over 32% had graduated from college. In addition to being better educated, today’s workers have received more and better training on the job. They bring far more economically useful knowledge and skills to their work than did workers a century ago.

Moreover, the technological changes that have occurred within the past 100 years have greatly reduced the time and effort required to produce most goods and services. Automated production has become commonplace. Innovations in transportation (automobiles, trucks, and airplanes) have made the movement of goods and people cheaper and faster. A dizzying array of new materials is available for manufacturing. And the development of modern information technology—including computers, software, and communications equipment—that seemed to proceed at breathtaking pace especially during the final years of the last century and continuing to the present has transformed the way we live and work.

Look again at the technological changes of the last few years described in the Case in Point on advances in technology. Those examples of technological progress through applications of computer technology—from new ways of mapping oil deposits to new methods of milking cows—helped propel the United States and other economies to dramatic gains in the ability to produce goods and services. They have helped shift the countries’ production possibilities curve outward. They have helped fuel economic growth.

Table 2.1 "Sources of U.S. Economic Growth, 1960–2007" summarizes the factors that have contributed to U.S. economic growth since 1960. When looking at the period of 1960–2007 as a whole we see that about 65% of economic growth stems from increases in quantities of capital and labor and about 35% from increases in qualities of the factors of production and improvements in technology or innovation. Looking at the three shorter subperiods (1960–1995, 1995-2000, and 2000-2007), we see that the share attributed to quantity increases declined (from 68% to 56% and then 50%), while the share attributed to improvement in the qualities of the factors of production and to technological improvement grew (from 32% to 44% and then to 50%).

Table 2.1 Sources of U.S. Economic Growth, 1960–2007

Period	Percentage Contribution to Growth	Period Growth Rate
Years 1960–2007		3.45%
Increase in quantity of labor	0.74%
Increase in quantity of capital	1.48%
Increase in quality of labor	0.23%
Increase in quality of capital	0.58%
Improved technology	0.41%
Years 1960–1995		3.42%
Increase in quantity of labor	0.80%
Increase in quantity of capital	1.55%
Increase in quality of labor	0.24%
Increase in quality of capital	0.56%
Improved technology	0.28%
Years 1995–2000		4.52%
Increase in quantity of labor	1.09%
Increase in quantity of capital	1.43%
Increase in quality of labor	0.20%
Increase in quality of capital	0.89%
Improved technology	0.90%
Years 2000–2007		2.78%
Increase in quantity of labor	0.17%
Increase in quantity of capital	1.21%
Increase in quality of labor	0.22%
Increase in quality of capital	0.46%
Improved technology	0.72%

Total output for the period shown increased nearly fivefold. The chart shows the percentage of growth accounted for by increases in the quantity of labor and of capital and by increases in the quality of labor and of capital and improvements in technology.

Source: Dale W. Jorgenson, Mun Ho, and Jon Samuels, “Information Technology and U.S. Productivity Growth: Evidence from a Prototype Industry Production Account,” prepared for Matilde Mas and Robert Stehrer, Industrial Productivity in Europe: Growth and Crisis, November 19, 2010.

Another way of looking at these data is to note that while the contribution of improved technology has increased over time (from 8% for the 1960–1995 period, to 20% for the 1995–2000 period, and 26% for the 2000–2007 period), most growth comes from more and better-quality factors of production. The study by economists Dale Jorgenson, Mun Ho, and Jon Samuels, on which the data shown in Table 2.1 "Sources of U.S. Economic Growth, 1960–2007" are derived, concludes that “the great preponderance of economic growth in the U.S. involves the replication of existing technologies through investment in equipment and software and expansion of the labour force. Replication generates economic growth with no increase in productivity. Productivity growth is the key economic indicator of innovation…Although innovation contributes only a modest portion of growth, this is vital to long-term gains in the American standard of living.”Dale W. Jorgenson, Mun Ho, and Jon Samuels, “Information Technology and U.S. Productivity Growth: Evidence from a Prototype Industry Production Account,” in Industrial Productivity in Europe: Growth and Crisis, ed. Matilde Mas and Robert Stehrer (Gloucestershire, UK: Edward Elgar, forthcoming).

Waiting for Growth

One key to growth is, in effect, the willingness to wait, to postpone current consumption in order to enhance future productive capability. When Stone Age people fashioned the first tools, they were spending time building capital rather than engaging in consumption. They delayed current consumption to enhance their future consumption; the tools they made would make them more productive in the future.

Resources society could have used to produce consumer goods are being used to produce new capital goods and new knowledge for production instead—all to enhance future production. An even more important source of growth in many nations has been increased human capital. Increases in human capital often require the postponement of consumption. If you are a college student, you are engaged in precisely this effort. You are devoting time to study that could have been spent working, earning income, and thus engaging in a higher level of consumption. If you are like most students, you are making this choice to postpone consumption because you expect it will allow you to earn more income, and thus enjoy greater consumption, in the future.

Think of an economy as being able to produce two goods, capital and consumer goods (those destined for immediate use by consumers). By focusing on the production of consumer goods, the people in the economy will be able to enjoy a higher standard of living today. If they reduce their consumption—and their standard of living—today to enhance their ability to produce goods and services in the future, they will be able to shift their production possibilities curve outward. That may allow them to produce even more consumer goods. A decision for greater growth typically involves the sacrifice of present consumption.

Arenas for Choice: A Comparison of Economic Systems

Under what circumstances will a nation achieve efficiency in the use of its factors of production? The discussion above suggested that Christie Ryder would have an incentive to allocate her plants efficiently because by doing so she could achieve greater output of skis and snowboards than would be possible from inefficient production. But why would she want to produce more of these two goods—or of any goods? Why would decision makers throughout the economy want to achieve such efficiency?

Economists assume that privately owned firms seek to maximize their profits. The drive to maximize profits will lead firms such as Alpine Sports to allocate resources efficiently to gain as much production as possible from their factors of production. But whether firms will seek to maximize profits depends on the nature of the economic system within which they operate.

Classifying Economic Systems

Each of the world’s economies can be viewed as operating somewhere on a spectrum between market capitalism and command socialism. In a market capitalist economyEconomy in which resources are generally owned by private individuals who have the power to make decisions about their use., resources are generally owned by private individuals who have the power to make decisions about their use. A market capitalist system is often referred to as a free enterprise economic system. In a command socialist economyEconomy in which government is the primary owner of capital and natural resources and has broad power to allocate the use of factors of production., the government is the primary owner of capital and natural resources and has broad power to allocate the use of factors of production. Between these two categories lie mixed economiesEconomy that combine elements of market capitalist and of command socialist economic systems. that combine elements of market capitalist and of command socialist economic systems.

No economy represents a pure case of either market capitalism or command socialism. To determine where an economy lies between these two types of systems, we evaluate the extent of government ownership of capital and natural resources and the degree to which government is involved in decisions about the use of factors of production.

Figure 2.11 "Economic Systems" suggests the spectrum of economic systems. Market capitalist economies lie toward the left end of this spectrum; command socialist economies appear toward the right. Mixed economies lie in between. The market capitalist end of the spectrum includes countries such as the United States, the United Kingdom, and Chile. Hong Kong, though now part of China, has a long history as a market capitalist economy and is generally regarded as operating at the market capitalist end of the spectrum. Countries at the command socialist end of the spectrum include North Korea and Cuba.

Figure 2.11 Economic Systems

Some European economies, such as France, Germany, and Sweden, have a sufficiently high degree of regulation that we consider them as operating more toward the center of the spectrum. Russia and China, which long operated at the command socialist end of the spectrum, can now be considered mixed economies. Most economies in Latin America once operated toward the right end of the spectrum. While their governments did not exercise the extensive ownership of capital and natural resources that are one characteristic of command socialist systems, their governments did impose extensive regulations. Many of these nations are in the process of carrying out economic reforms that will move them further in the direction of market capitalism.

The global shift toward market capitalist economic systems that occurred in the 1980s and 1990s was in large part the result of three important features of such economies. First, the emphasis on individual ownership and decision-making power has generally yielded greater individual freedom than has been available under command socialist or some more heavily regulated mixed economic systems that lie toward the command socialist end of the spectrum. People seeking political, religious, and economic freedom have thus gravitated toward market capitalism. Second, market economies are more likely than other systems to allocate resources on the basis of comparative advantage. They thus tend to generate higher levels of production and income than do other economic systems. Third, market capitalist-type systems appear to be the most conducive to entrepreneurial activity.

Suppose Christie Ryder had the same three plants we considered earlier in this chapter but was operating in a mixed economic system with extensive government regulation. In such a system, she might be prohibited from transferring resources from one use to another to achieve the gains possible from comparative advantage. If she were operating under a command socialist system, she would not be the owner of the plants and thus would be unlikely to profit from their efficient use. If that were the case, there is no reason to believe she would make any effort to assure the efficient use of the three plants. Generally speaking, it is economies toward the market capitalist end of the spectrum that offer the greatest inducement to allocate resources on the basis of comparative advantage. They tend to be more productive and to deliver higher material standards of living than do economies that operate at or near the command socialist end of the spectrum.

Figure 2.12 Economic Freedom and Income

The graph shows the relationship between economic freedom and per capita income by region. Countries with higher degrees of economic freedom tended to have higher per capita incomes.

Source: Terry Miller and Kim R. Holmes, 2011 Index of Economic Freedom (Washington, D.C.: The Heritage Foundation and Dow Jones & Company, Inc., 2011), at www.heritage.org/index.

Market capitalist economies rely on economic freedom. Indeed, one way we can assess the degree to which a country can be considered market capitalist is by the degree of economic freedom it permits. Several organizations have attempted to compare economic freedom in various countries. One of the most extensive comparisons is a joint annual effort by the Heritage Foundation and the Wall Street Journal. The 2011 rating was based on policies in effect in 183 nations early that year. The report ranks these nations on the basis of such things as the degree of regulation of firms, tax levels, and restrictions on international trade. Hong Kong ranked as the freest economy in the world. North Korea received the dubious distinction of being the least free.

It seems reasonable to expect that the greater the degree of economic freedom a country permits, the greater the amount of income per person it will generate. This proposition is illustrated in Figure 2.12 "Economic Freedom and Income". The study also found a positive association between the degree of economic freedom and overall well-being using a measure that takes into account such variables as health, education, security, and personal freedom. We must be wary of slipping into the fallacy of false cause by concluding from this evidence that economic freedom generates higher incomes. It could be that higher incomes lead nations to opt for greater economic freedom. But in this case, it seems reasonable to conclude that, in general, economic freedom does lead to higher incomes.

Government in a Market Economy

The production possibilities model provides a menu of choices among alternative combinations of goods and services. Given those choices, which combinations will be produced?

In a market economy, this question is answered in large part through the interaction of individual buyers and sellers. As we have already seen, government plays a role as well. It may seek to encourage greater consumption of some goods and discourage consumption of others. In the United States, for example, taxes imposed on cigarettes discourage smoking, while special treatment of property taxes and mortgage interest in the federal income tax encourages home ownership. Government may try to stop the production and consumption of some goods altogether, as many governments do with drugs such as heroin and cocaine. Government may supplement the private consumption of some goods by producing more of them itself, as many U.S. cities do with golf courses and tennis courts. In other cases, there may be no private market for a good or service at all. In the choice between security and defense versus all other goods and services outlined at the beginning of this chapter, government agencies are virtually the sole providers of security and national defense.

All nations also rely on government to provide defense, enforce laws, and redistribute income. Even market economies rely on government to regulate the activities of private firms, to protect the environment, to provide education, and to produce a wide range of other goods and services. Government’s role may be limited in a market economy, but it remains fundamentally important.

Key Takeaways

The ideas of comparative advantage and specialization suggest that restrictions on international trade are likely to reduce production of goods and services.
Economic growth is the result of increasing the quantity or quality of an economy’s factors of production and of advances in technology.
Policies to encourage growth generally involve postponing consumption to increase capital and human capital.
Market capitalist economies have generally proved more productive than mixed or command socialist economies.
Government plays a crucial role in any market economy.

Try It!

Draw a production possibilities curve for an economy that can produce two goods, CD players and jackets. You do not have numbers for this one—just draw a curve with the usual bowed-out shape. Put the quantity of CD players per period on the vertical axis and the quantity of jackets per period on the horizontal axis. Now mark a point A on the curve you have drawn; extend dotted lines from this point to the horizontal and vertical axes. Mark the initial quantities of the two goods as CD_A and J_A, respectively. Explain why, in the absence of economic growth, an increase in jacket production requires a reduction in the production of CD players. Now show how economic growth could lead to an increase in the production of both goods.

Case in Point: The Prospects for World Economic Growth

What will happen to world economic growth in the next 10 years? The prognosis, according to economists Dale W. Jorgenson of Harvard University and Khuong M. Vu of the National University of Singapore, suggests that world growth is likely to be somewhat slower in the next decade than it was in the last.

The two economists, who have written extensively on the problem of estimating world economic growth, estimate that the world economy (based on their sample of 122 countries that account for 95% of world GDP) grew at a rate of just 2.20% from 1990–1995. That increased to 3.37% per year from 1995–2000. During the period from 2000–2005 the annual growth rate accelerated again to 3.71%. Despite the recession and financial crisis that began in 2008, world growth slowed a bit but was still 3.06% from 2005 to 2009. Growth at 3% would double world economic income every 24 years. Think for a moment about what that implies—world income would quadruple in just 48 years. Growth at the 1990–1995 pace of 2.20% per year would take 33 years for income to double.

Might the world growth rates from 2000 to 2009 of above 3% be repeated during the next 10 years? Under their base-case scenario, the economists project the world growth rate between 2010 and 2020 to be about 3.37%.

What do they think the economic world will look like then? They predict that over the next 10-year period: the U.S. growth rate will slow down compared to the last two decades, primarily due to slower growth in labor quality, but the U.S. growth rate will still lead among the G7 countries (a group of seven large industrialized countries that includes Canada, France, Germany, Italy, Japan, the United Kingdom, and the United States); the overall growth in the G7 countries will continue to decline; and growth in the developing countries of Asia (Bangladesh Cambodia, China, Hong Kong, India, Indonesia, Malaysia, Nepal, Pakistan, Philippines, Singapore, South Korean, Sri Lanka, Taiwan, Thailand, and Vietnam) will slow a bit from the recent past but will be high enough that those countries’ GDPs will comprise nearly 37% of world GDP in 2020, as compared to 29% in 2010. In terms of size of GDP in 2020, they predict the following new order: China, the United States, India, Japan, Russia, Germany, and Brazil. If their predictions are realized, it will mark the end of a period of more than a century in which the United States has been the world’s largest economy.

Sources: Dale W. Jorgenson and Khoung M. Vu, “The Rise of Developing Asia and the New Economic Order,” Journal of Policy Modeling 33:5 (September–October 2011), forthcoming.

Answer to Try It! Problem

Your first production possibilities curve should resemble the one in Panel (a). Starting at point A, an increase in jacket production requires a move down and to the right along the curve, as shown by the arrow, and thus a reduction in the production of CD players. Alternatively, if there is economic growth, it shifts the production possibilities curve outward, as in Panel (b). This shift allows an increase in production of both goods, as suggested by the arrow.

2.3 Applications of the Production Possibilities Model

Learning Objectives