PDF, GB, 139 p., 796 Ko - Femise
PDF, GB, 139 p., 796 Ko - Femise
PDF, GB, 139 p., 796 Ko - Femise
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N<br />
function (U ), given by: + ( ) u c<br />
∑ i i<br />
i=<br />
c<br />
0 where: o<br />
1<br />
c is a numeraire export good and c i denotes<br />
the consumption vector of all other goods ( h = 1,..., n)<br />
. Assuming that I is the budget<br />
constraint of a representative consumer, and ( )<br />
d is per capita consumption of each good,<br />
then remaining income is spent on the numeraire good, i.e. I − p'd<br />
( p)<br />
where: p ( p p ,...., p )<br />
1,<br />
2<br />
N<br />
68<br />
i pi<br />
c o<br />
= ;<br />
= is the vector of domestic prices. Each consumer maximizes utility<br />
subject to budget constraint: c + p'c<br />
≤ I . Therefore, the individual utility is given by:<br />
( p I ) ≡ I − p'd<br />
( p)<br />
+ u [ d ( p ) ]<br />
V ∑<br />
i=<br />
1<br />
S<br />
N<br />
i<br />
i<br />
0<br />
, . Denoting consumer surplus as:<br />
N<br />
( p)<br />
u [ d ( p ) ] − p'd<br />
( p)<br />
≡ ∑<br />
i=<br />
1<br />
( p I ) ≡ I S(<br />
p)<br />
V , + .<br />
i<br />
i<br />
i<br />
i<br />
we can rewrite the representative consumer welfare as:<br />
On the production side there are N industries with sector specific (capital) inputs and labour.<br />
The total supply of labour has measure one. The numeraire good is produced with one unit of<br />
labour that the wage is equal to one. Each other good is produced from labour and factor<br />
specific input. The supply function of good i is denoted by ( )<br />
y . The returns to factor<br />
i pi<br />
specific input i are equal to π ( ) and therefore by Hotelling’s lemma '(<br />
p ) = y ( p )<br />
i pi<br />
π .<br />
We analyze a small economy in which the international prices of goods are fixed at<br />
i<br />
i<br />
i<br />
i<br />
*<br />
p i . Each<br />
of N industries receives a specific tariff s<br />
s<br />
t i , where t i > 0 indicates a tariff in an import<br />
s<br />
industry or a subsidy in an export industry. Obviouslyt < 0 means a subsidy in an import<br />
industry or a tariff in export industry. The tariff introduces a wedge between domestic and<br />
international price:<br />
i<br />
( p ) d ( p ) y ( p )<br />
i<br />
i<br />
i<br />
i<br />
i<br />
i = pi<br />
*<br />
s<br />
i<br />
i<br />
p + t . Defining imports of each of i industry as:<br />
m = − (which are negative if there are exports), we can denote tariff revenue<br />
N<br />
∑<br />
i=<br />
1<br />
*<br />
collected as T ( p)<br />
= ( p − p ) m ( p )<br />
i<br />
i<br />
i<br />
i<br />
. The revenue is distributed by a pool subsidy of to all<br />
individuals. Then, summing up labour income, returns to specific factors and tax revenue we<br />
s<br />
get the total social welfare: W ( p)<br />
= ∑Wi( p)<br />
= + ∑ i(<br />
pi<br />
) + ∑ti<br />
mi<br />
+ ∑<br />
N<br />
N<br />
1 π S .<br />
i=<br />
1 i=<br />
1 i=<br />
1 i=<br />
1<br />
N<br />
N<br />
i