As the supply
curve become less elastic, keeping constant
the demand curve and the amount of unit tax as in Figure 15.20,
the deadweight loss of a tax becomes less.
This is shown in
Figure 15.21
Figure 15.21
In figure 15.21, the supply curve SS
1
is
less elastic than in
figure 15.16. The pre-tax equilibrium is E,
the price is OP and the
output is OQ. If a unit tax u equal to AB as in Figure 15.17 is
imposed, the quantity falls to OQ
1
and
the price rises to P
1
. The
deadweight loss or excess tax burden is equal to the triangle ABE
which is smaller than the excess burden where the supply is elastic.
Excess Burden of Tax on Wage Income
A tax on wage income also gives rise to deadweight loss or
excess burden of tax. The excess burden arises because a tax on
wage income distorts the decisions of the workers.
The excess
burden resulting from a tax on wage income is shown in
Figure 15.22.
In
figure 15.22, OS is the supply curve of labour and WD is
the demand curve of labour assuming perfectly elastic demand for
labour. The point E is the pre-tax equilibrium, OW is the wage rate
and the hours worked is ON. If a tax on wage income equal to W
1
W
is imposed the net demand
curve for labour shifts to W
1
D
1
. The
new equilibrium is at E
1
,
the net wage rate is OW
1
and the hours
worked
falls to ON
1
. The revenue received by the government
equals W
1
WAE and the entire burden is borne by the workers.
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