Economics 172
Homework 6 Chapter 6 Due March 14
Review Questions
6.1, 6.4, 6.6, 6.17, 6.19
6.1 The dimensions of the Edgeworth Box signify the total amount of
the two goods available to the two consumers.
Because the maximum number of good X on the X axis represents the total
amount, the allocation of good X between person A and B is shown by any point
in the EB. If we are at one of the EB
corners, it means one person has all of one good and the other has all of the
other. Alternatively, it means one
person has all of both goods and the other has none of either.
6.4 Efficiency and inefficiency in the context of
distribution: Efficiency means that if
the two goods are reallocated between the 2 consumers, one person cannot be
made better off without another being made worse off. An inefficient distribution of goods occurs
when one person can be made better
off without making the other worse off.
If the distribution is within the EB, so long as the marginal rates of
substitution of the two consumers are different, the two goods can be reallocated
to make at least one better off without making the other worse off. Any distribution within the EB has to be on a
different indifference curve of each consumer.
The slope of the indifference curve at that point is the consumer’s MRS
of one good for the other. If the slopes
are different, then MRS is different and mutually beneficial trade can
occur.
6.6 John: 40 gallons of gas and
20 bags of sugar. MRS = 5G/1S
Maria 40 gallons of gas and 50 bags of
sugar. MRS = 1G/1S
Total gas = 80
gallons. Total sugar = 70 bags
If john exchanges
9 gallons of gas for 3 of Maria’s bags of sugar, both MRS are 3G/1S.
They are both
better off since their MRS are equal.
6.17
Landing fees at airports are based on weight. But the true cost of taking off or landing is
based on the use of the scarce resource, which is the ability of another plane
to take off or land. If 20 5 passenger
planes take 1 hour to land, and one plane with 400 people has to wait 1 hour
because of the backup that the 20 small planes cause, then there is a very high
cost of landing. Landing rights in this
case are probably allocated on a first come first served basis.
This is not
efficient because if we reallocated landing rights and let the large plane
land, the passengers would be better off.
They could give the passengers on the smaller planes financial
compensation so they would also be better off.
So if landing fees were changed to reflect the ability to land at a
certain time, the small planes would face higher fees and the larger plane
lower fees. That would discourage some
smaller planes from landing and free up space for the big plane to land.
Remember,
efficiency doesn’t necessarily have to actually compensate, you only have to be
able to potentially compensate.
6.19 False. Economics argues that for efficiency reasons
we should be on the contract curve. This is an example of positive
economics. Noneconomic equity reasons focus
on where on a contract curve we should be vis-a-vis the distribution of goods
across consumers. This is positive
economics.