In the interests of blowing the dust off my attempt at communication, here's an essay my economics tutor liked. I'd apologise, internet, for not to talking to you, but my friends will tell you that I don't communicate with them enough either. Ignore the terrifying title, please.
Consider
the 2x2 production model with constant returns to scale, where the
two factors are immobile internationally and the two consumer goods
are mobile internationally. Using this model, explain the statement
“free trade does not benefit everyone”.
To
explain why free trade between two countries might not benefit all
involved, I shall first lay out the 2x2 production model, before
describing how expanded markets for a particular good will reduce
incomes for those whose factors of production are scarce in their
country. I will then relax the assumption of factors' free movement
between industries, and examine the potential short term effects of
this. I shall finally briefly argue that the negative impact of free
trade can be compensated for if lump sum redistributions are possible
in the favour of those who would otherwise be losers from free trade.
The
standard 2x2 production model includes two goods, which are produced
by different ratios of two factors of production. For the purposes of
this essay, these two factors of production will be called labour and
capital, abbreviated to L and K respectively, while the goods will be
called guns and butter, abbreviated to G and B respectively. Butter
is a labour intensive good and guns is a capital intensive good, so
for a given set of factor prices the ratio of labour to capital used
in the production of butter will be higher than the ratio of labour
to capital used in the production of guns. The 2x2 production model
also includes two countries with competitive economies, which have
different ratios of the factors of production. For the purposes of
this essay, these countries will be called Australia and China.
Australia is a capital abundant country and China is a labour
abundant country, since China has a higher ratio of labour to capital
than Australia.
Given
that butter is a labour intensive good compared to guns, and China is
labour abundant compared to Australia, the price ratio between butter
and guns will be higher in Australia than in China, if trade is not
free. Furthermore, when trade is not free, production of butter and
consumption of butter must be equal within (but not between) each
country, as must production and consumption of guns. Assuming that
demand curves for each good are the same for each country, and the
technology is the same, owners of scarce factors of production in
each country will be relatively better off than owners of the same
good overseas. Capital owners in China will get more purchasing power
from each unit of capital than capital owners in Australia, because
the ratio between returns to investment and wages will be higher in
China.
When
trade is free, however, only the value
of production in each country will have to be equal to the value of
consumption.
PBxDB
+ PGxDG
= PBxQB
+PGxQG
which
can be rearranged to the following budget constraint:
DG
– QG = (PB/PG)x(QB –
DB)
Guns
imports = Price ratio x Butter exports
Free
trade between Australia and China will lead to a convergence of
goods' prices, as free markets clear. In China, this will lead to a
rise in the price of butter and therefore, since prices are relative,
a reduction in the price of guns. In Australia the reverse will
occur. Each country will export the good that it can make more
efficiently than the other, leading to an equalisation of factor
prices, despite the international immobility of the factors of
production themselves. In China, owners of labour (workers) will have
their purchasing power increased, because the rising price of butter
will increase the price of the factor proportionately more used in
its production; wages will increase. In Australia, for similar
reasons, owners of capital will be better rewarded. However, as the
relative price of butter rises in China, owners of capital in China
will be made worse off as the relative price of guns falls. In
Australia, owners of labour will be made worse off as the relative
price of butter in the country falls. Therefore, in this situation,
“free trade does not benefit everyone”.
By
relaxing the assumption that factors of production can be freely
moved between industries, 'specific factors' become possible. For
example, a specialist in gun manufacture may not be as efficient at
milking cows as she is at making guns. Factors of production, labour
in this instance, can in the short term be paid different prices to
make different goods. Only in the long run will earnings equalise, as
factors of production gradually shift (by, for example, retraining).
In 2x2 production model used above, a fall in the relative price of
butter in Australia, though in the long term improving the purchasing
power of owners of capital, may in the short run reduce the earnings
of owners of capital whose capital is currently invested in herds
producing butter, until they can reinvest their capital in gun
factories.
Finally,
I shall briefly note that according to the second fundamental theorem
of welfare efficiency, lump sum redistribution of goods could
potentially redistribute the gains from trade. A Hicksian
compensating variation (the amount of money, and therefore value of
goods, required to put a consumer back on their initial utility
curve) would restore Australian workers (and/or Chinese capitalists)
to their original welfare, allowing free trade to produce at least a
weakly preferred allocation. If the gains from trade are greater than
this, as they can potentially be because trade expands the
consumption possibilities of an economy, then it is possible that
everyone can strongly benefit from free trade.
In
conclusion, because according to the 2x2 production model free trade
causes the equalisation of factor prices, those who own factors whose
relative price decreases will lose purchasing power, and (if standard
assumptions are made about utility maximising consumers) will
therefore be worse of after the trade. Some owners of the abundant
factor of production may be worse off in the short term after free
trade if they are specific factors. Despite these results, if lump
sum transfers are possible, it should be at least potentially
possible for everyone to gain from free trade.