Consider the Specific Factors model with two countries, Home and Foreign, with two goods, cars (c) and pharmaceutical drugs (d), and three factors, capital K, skilled labour S, and unskilled labour L. The production functions are given by 1 1 F.(Ke, Le) = K. Lễ and Fa(Ka, Sa) = K}S}. That is, skilled labour is specific to pharmaceutical drugs, and unskilled labour to cars. Suppose that the countries' factor endowments are KH = 2 = KF, 1 and SF LH and LF 3/2, and SH 1/2, so that the total labour force is 2 in %3D both countries. The price of capital is denoted by r, the price of skilled and unskilled labour by ws and Wi. Denote the goods' prices by pc and pa, and normalise pd = 1 for simplicity. The demand for cars and drugs in country j = H, F is given by x and r: 2Yi and x 3 på 3 p where Yi denotes aggregate income in country j. (f) Suppose that now that Foreign has a production technology FF (Ke, S.) = 2K Lề and Ff(La, Sa) = 2K S. %3| Describe the effect of free trade in goods but not factors (compared to autarky) in terms of the resulting world market equilibrium good price and wages (explain, no computation needed).
Consider the Specific Factors model with two countries, Home and Foreign, with two goods, cars (c) and pharmaceutical drugs (d), and three factors, capital K, skilled labour S, and unskilled labour L. The production functions are given by 1 1 F.(Ke, Le) = K. Lễ and Fa(Ka, Sa) = K}S}. That is, skilled labour is specific to pharmaceutical drugs, and unskilled labour to cars. Suppose that the countries' factor endowments are KH = 2 = KF, 1 and SF LH and LF 3/2, and SH 1/2, so that the total labour force is 2 in %3D both countries. The price of capital is denoted by r, the price of skilled and unskilled labour by ws and Wi. Denote the goods' prices by pc and pa, and normalise pd = 1 for simplicity. The demand for cars and drugs in country j = H, F is given by x and r: 2Yi and x 3 på 3 p where Yi denotes aggregate income in country j. (f) Suppose that now that Foreign has a production technology FF (Ke, S.) = 2K Lề and Ff(La, Sa) = 2K S. %3| Describe the effect of free trade in goods but not factors (compared to autarky) in terms of the resulting world market equilibrium good price and wages (explain, no computation needed).
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question

Transcribed Image Text:Consider the Specific Factors model
with two countries, Home and Foreign, with two goods, cars (c) and pharmaceutical
drugs (d), and three factors, capital K, skilled labour S, and unskilled labour L. The
production functions are given by
1
1
F.(Ke, Le) = K. Lễ and Fa(Ka, Sa) = K}S}.
That is, skilled labour is specific to pharmaceutical drugs, and unskilled labour to
cars. Suppose that the countries' factor endowments are KH = 2 = KF,
1 and SF
LH
and LF
3/2, and SH
1/2, so that the total labour force is 2 in
%3D
both countries. The price of capital is denoted by r, the price of skilled and unskilled
labour by ws
and
Wi.
Denote the goods' prices by pc and pa, and normalise pd
= 1
for simplicity.
The demand for cars and drugs in country j = H, F is given by x and r:
2Yi
and x
3 på
3 p
where Yi denotes aggregate income in country j.
(f) Suppose that now that Foreign has a production technology
FF (Ke, S.) = 2K Lề and Ff(La, Sa) = 2K S.
%3|
Describe the effect of free trade in goods but not factors (compared to autarky) in
terms of the resulting world market equilibrium good price and wages (explain,
no computation needed).
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