Figure 14.5: Individual Demand Curve for Public Goods
In the above figure the line AB represent the budget
constraint.
On the budget constraint, a fall in government
expenditure will increase the consumption of private goods. The
indifference curves show the combination
of public goods and
private goods the individual prefer. The slope of indifference curve
i.e. marginal rate of substitution which represent the amount of
private goods the individual is prefer to
give up in order to get an
additional public goods. The slope of the indifference curve is
diminishing which tells us that individual
in order to get more of
public goods he is prefer to give up less and less of private goods.
Point E is the individual‘s highest level of utility is attained at the
point of the tangency between the
indifference curve and the
budget constraint. At point E, the slope of the budget constraint and
the slope of indifference curve are equal. The slope of the budget
constraint tells us that how much of private
goods the individual
must give up to get an additional unit of public goods, which equals
to the individual‘s tax price.
A fall in tax price shift in the budget constraint from BB to BB'
and the equilibrium point move from point E to E'. The individual‘s
demand for public goods will generally increase.
Thus one can derived the demand curve for public goods by
raising and lowering. Similarly one can derive demand curve for
private goods.
Panel B plots the demand curve corresponds to panel A.
Point E and E',
from panel A, show the quantity of public goods
demanded at tax prices p
1
and p
2
. Thus one can trace more points
for panel B by shifting the budget constraint further in panel A.
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