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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

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