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"That it is logically true need not be argued before a mathematician; that it is not trivial is attested by the thousands of important and intelligent men who have never been able to grasp the doctrine for themselves or to believe it after it was explained to them."—Paul Samuelson
Because the theory produces a counter-intuitive result, it may be useful to consider the following example:
Suppose there are two countries, Northland and Southland. Both have a wine-making industry and a clothing industry.
In Northland, it takes a worker 3 days to make a suit of clothes, and 5 days to make a bottle of wine.
Southland is more efficient in both industries – a Southlander can make a suit of clothes in 1 day or a bottle of wine in 1 day.
Southland has an "absolute advantage" in both industries – it is more productive at making both wine and clothes. However, it is 5 times more productive than Northland in wine making and only 3 times more productive than Northland in Clothes making. That is, it has a comparative advantage in wine making. While Northland is worse at making either kind of goods, it is least deficient at making clothes.
The price of goods must reflect the cost of making them, so it is likely that in Northland, a bottle of wine (takes 5 days work for a Northlander to make) costs more than a suit of clothes (takes only 3 days). As the Southlanders can make either wine or clothes at the same production cost, it is rational to export wine to Northland, and take the higher profit. Wine will be a better export than clothes for Southland as long as this is true, and it would be rational to deploy more resources into the wine industry at the expense of the clothes industry.
Suppose that the Southland clothes industry now collapses due to a labour (or capital) shortage caused by the boom in the wine industry. This might not worry the Southland Treasury – the Northlanders should be willing to pay more for wine than for clothes: until the price rises above 5:3, it will not be economic to reopen the Northland vineyards. Therefore a Southland worker can make wine, buy clothes and still be in profit. Provided the profit margin is enough, it is worth Southland trading wine for clothes with Northland, even though Southland imports goods that it could manufacture more efficiently itself. If Northland's clothes were to rise to more than the price fetched by wine, it would be time to re-open the Southland clothes factories.
Clearly this theoretical model omits several factors that sometimes apply in the real world: Workers and capital may not be able to be transferred painlessly from one industry to another. The clothing industry (in Southland) and wine-making industry (in Northland) may therefore exert political pressure (through industry associations and trades unions) to protect their industries. Governments also sometimes decide to provide subsidies or to erect import barriers to preserve domestic industries. Reasons other than political needs might include national prestige, or the wish to avoid being dependent on imports in case trade is disrupted – for example by war.
See also: