Title: Model Building
1Model Building
- In this chapter we are going to lean some tools
for analyzing the following questions
2Model Building
- In this chapter we are going to lean some tools
for analyzing the following questions - What goods will a country import?
3Model Building
- In this chapter we are going to lean some tools
for analyzing the following questions - What goods will a country import?
- What goods will a country exports?
4Model Building
- In this chapter we are going to lean some tools
for analyzing the following questions - What goods will a country import?
- What goods will a country exports?
- What will be the trade volume? how much trade ?
5Model Building
- In this chapter we are going to lean some tools
for analyzing the following questions - What goods will a country import?
- What goods will a country exports?
- What will be the trade volume? how much trade ?
- What will be the price at which they trade?
6Model Building
- In this chapter we are going to lean some tools
for analyzing the following questions - What goods will a country import?
- What goods will a country exports?
- What will be the trade volume? how much trade ?
- What will be the price at which they trade?
- What is the effect of trade on the price of
factors of production?
7Model Building
- In the process of model building, one should
make sure to avoid the normative aspects of the
question under analysis.
8Model Building
- In the process of model building, one should
make sure to avoid the normative aspects of the
question under analysis. That is, try to avoid
making any "ought to be" statements which are in
the realm of normative rather that positive
economics. In Positive economics we always try
to stay with the positive aspect of the analysis,
i.e., we need to explain what is. -
9Model Building ASSUMPTIONS SUPPLY SIDE
- 1-- all economic agents are rational
-
10Model Building ASSUMPTIONS SUPPLY SIDE
- 1-- all economic agents are rational
- - firms are profit maximizers
11Model Building ASSUMPTIONS SUPPLY SIDE
- 1-- all economic agents are rational
- - firms are profit maximizers
- - consumers are utility maximizers
12Model Building ASSUMPTIONS SUPPLY SIDE
- 2-- there are
- 2 countries A (America) and B (Britain)
13Model Building ASSUMPTIONS SUPPLY SIDE
- 2-- there are
- 2 countries A (America) and B (Britain)
- 2 goods S (Soybeans) and T (Textiles)
14Model Building ASSUMPTIONS SUPPLY SIDE
- 2-- there are
- 2 countries A (America) and B (Britain)
- 2 goods S (Soybeans) and T (Textiles)
- both goods are consumed all the time in both
countries
15Model Building ASSUMPTIONS SUPPLY SIDE
- 2-- there are
- 2 countries A (America) and B (Britain)
- 2 goods S (Soybeans) and T (Textiles)
- both goods are consumed all the time in both
countries - both goods are identical in both countries
16Model Building ASSUMPTIONS SUPPLY SIDE
- 3-- there is no money illusion.
17Model Building ASSUMPTIONS SUPPLY SIDE
- 4-- In each country
- factor endowment is fixed
18Model Building ASSUMPTIONS SUPPLY SIDE
- 4-- In each country
- factor endowment is fixed
- technology is constant
19Model Building ASSUMPTIONS SUPPLY SIDE
- 5-- Perfect competition in
- product market and
20Model Building ASSUMPTIONS SUPPLY SIDE
- 5-- Perfect competition in
- product market and
- input market
21Model Building ASSUMPTIONS SUPPLY SIDE
- 6-- Factors of production are mobile within each
country and industry.
22Model Building ASSUMPTIONS DEMAND SIDE
- Each Indifference curve shows
- trade off between two commodities
23Model Building ASSUMPTIONS DEMAND SIDE
- Each Indifference curve shows
- trade off between two commodities
- level of satisfactions (total utility)
24Model Building ASSUMPTIONS DEMAND SIDE
- Each Indifference curve shows
- trade off between two commodities
- level of satisfactions (total utility)
- only ordinal and not cardinal preferences.
25Model Building ASSUMPTIONS DEMAND SIDE
- Indifference curves analysis is based on the
following assumptions - i-- Commodity units are divisible to a very
small size,
26Model Building ASSUMPTIONS DEMAND SIDE
- Indifference curves analysis is based on the
following assumptions - i-- Commodity units are divisible to a very
small size, - ii-- consumers tastes are well defined,
27Model Building ASSUMPTIONS DEMAND SIDE
- Indifference curves analysis is based on the
following assumptions - i-- Commodity units are divisible to a very
small size, - ii-- consumers tastes are well defined,
- iii-- MU 0
28Model Building ASSUMPTIONS DEMAND SIDE
- Indifference curves analysis is based on the
following assumptions - i-- Commodity units are divisible to a very
small size, - ii-- consumers tastes are well defined,
- iii-- MU 0
- iv-- no nuisance commodity
29Model Building ASSUMPTIONS DEMAND SIDE
- Characteristics of ICs
- i-- ICs are non-intersecting.
30Model Building ASSUMPTIONS DEMAND SIDE
- Characteristics of ICs
- i-- ICs are non-intersecting.
- ii-- ICs are continuous
31Model Building ASSUMPTIONS DEMAND SIDE
- Characteristics of ICs
- i-- ICs are non-intersecting.
- ii-- ICs are continuous
- iii-- ICs are everywhere dense and go through
every point in the XY map.
32Model Building ASSUMPTIONS DEMAND SIDE
- Characteristics of ICs
- i-- ICs are non-intersecting.
- ii-- ICs are continuous
- iii-- ICs are everywhere dense and go through
every point in the XY map. - iv-- ICs have a negative slope
33Model Building ASSUMPTIONS DEMAND SIDE
- Characteristics of ICs
- i-- ICs are non-intersecting.
- ii-- ICs are continuous
- iii-- ICs are everywhere dense and go through
every point in the XY map. - iv-- ICs have a negative slope
- v-- ICs are Convex to the origin.
34Model Building Budget Constraint
- Indifference Curves show the desire of the
individual and the community. In other words,
their willingness.
35Model Building Budget Constraint
- Indifference Curves show the desire of the
individual and the community. In other words,
their willingness. But there is another
requirement, ability to purchase a commodity. (a
demand curve shows the ability and willingness )
36Model Building Budget Constraint
- Indifference Curves show the desire of the
individual and the community. In other words,
their willingness. But there is another
requirement, ability to purchase a commodity. (a
demand curve shows the ability and willingness ) -
- Ps S Pt T ? I
37Model Building Budget Constraint
- Ps S Pt T ? I
- Since I/ Ps is the total amount of S that one
could buy with an income level I
38Model Building Budget Constraint
- Ps S Pt T ? I
- Since I/ Ps is the total amount of S that one
could buy with an income level I and I/ Pt is the
total amount of T that one could buy with a
given amount of I, then the ratio of the I/ Pt
to I/ Ps represents - slope of the price line (the budget line ).
-
- - (I/Pt)/(I/Ps) - (Ps/Pt)
39Budget Constraint
40Model Building ASSUMPTIONS DEMAND SIDE
- 7-- A consistent community's preferences can be
presented. - This is a tricky business. It is impossible
(Arrow's Impossibility Theorem) to generate a set
of ordering that is internally consistent for
individuals as well as for the community as a
whole.
41Model Building ASSUMPTIONS DEMAND SIDE
- 7-- A consistent community's preferences can be
presented. - Order of individuals
- Preferences Janice Parisa Zach
- 1 apples oranges bananas
- 2 oranges bananas
apples - 3 bananas apples
oranges
42Model Building ASSUMPTIONS DEMAND SIDE
- 7-- A consistent community's preferences can be
presented. - Order of
- individuals
- Preferences Janice Parisa Zach
- 1 apples oranges bananas
- 2 oranges bananas
apples - 3 bananas apples
oranges
43Model Building ASSUMPTIONS DEMAND SIDE
- If the group were to rank these fruits, we would
have - apples are preferred to oranges by Janice and Zach
44Model Building ASSUMPTIONS DEMAND SIDE
- If the group were to rank these fruits, we would
have - apples are preferred to oranges by Janice and
Zach - Oranges are preferred to Bananas by Janice and
Parisa.
45Model Building ASSUMPTIONS DEMAND SIDE
- If the group were to rank these fruits, we would
have - apples are preferred to oranges by Janice and
Zach - Oranges are preferred to Bananas by Janice and
Parisa. - But yet, even though apples are preferred to
oranges and oranges are preferred to bananas,
apples are not preferred to bananas by the group.
46Model Building ASSUMPTIONS DEMAND SIDE
- There are three possibilities to have a
consistent preference ordering - 1-- Robinson Crusoe economy
47Model Building ASSUMPTIONS DEMAND SIDE
- There are three possibilities to have a
consistent preference ordering - 1-- Robinson Crusoe economy
- 2-- A dictatorial economy where one person
decides for all,
48Model Building ASSUMPTIONS DEMAND SIDE
- There are three possibilities to have a
consistent preference ordering - 1-- Robinson Crusoe economy
- 2-- A dictatorial economy where one person
decides for all, - 3-- all individuals have a same preference
ordering. -
49Model Building ASSUMPTIONS DEMAND SIDE
- There are three possibilities to have a
consistent preference ordering - 1-- Robinson Crusoe economy
- 2-- A dictatorial economy where one person
decides for all, - 3-- all individuals have a same preference
ordering. - We assume all individuals have a same preference
ordering.
50Model Building General Equilibrium Solution of
the Model Autarky Solution
- Given the assumptions of
- i-- Consumer and producers' rationality
-
51Model Building General Equilibrium Solution of
the Model Autarky Solution
- Given the assumptions of
- i-- Consumer and producers' rationality
- ii-- Perfect competition in
- -- factor market
- -- product market
52Model Building General Equilibrium Solution of
the Model Autarky Solution
- Given the assumptions of
- i-- Consumer and producers' rationality
- ii-- Perfect competition in
- -- factor market
- -- product market
- iii-- Fixed
- -- technology
- -- endowment
53Model Building General Equilibrium Solution of
the Model Autarky Solution
- Given the assumptions of
- i-- Consumer and producers' rationality
- ii-- Perfect competition in
- -- factor market
- -- product market
- iii-- Fixed
- -- technology
- -- endowment
- iv-- Increasing cost PPC
-
54Model Building General Equilibrium Solution of
the Model Autarky Solution
- The economy will find an optimal solution on the
PPC.
55Model Building General Equilibrium Solution of
the Model Autarky Solution
- The economy will find an optimal solution on the
PPC. This optimal point will be the tangency
point of the budget line, indifference curve, and
the Production Possibility Curve, say point A.
56Model Building General Equilibrium Solution of
the Model Autarky Solution
S
T
57Model Building General Equilibrium Solution of
the Model Autarky Solution
S
PPC
T
58Model Building General Equilibrium Solution of
the Model Autarky Solution
Price line/budget constraint
S
T
59Model Building General Equilibrium Solution of
the Model Autarky Solution
S
Indifference Curve
A
T
60Model Building General Equilibrium Solution of
the Model Autarky Solution
S
Indifference Curve
A
S1
T
61Model Building General Equilibrium Solution of
the Model Autarky Solution
S
A
S1
T
T1
62Model Building General Equilibrium Solution of
the Model Autarky Solution
-
- At this point, A, where all three components of
the system converge, the Marginal Rate of
Substitution between S and T, and slopes of the
budget line and the PPC Curve are equal - MRSst slope of the budget line (-Ps/Pt)
63Model BuildingAdjustment to the equilibrium
point
- Let's assume that the economy produces at a point
like B.
T
T2
IC1
B
A
T1
IC0
?
S
S1
S2
64Model BuildingAdjustment to the equilibrium
point
- Let's assume that the economy produces at a point
like B.
T
T2
IC1
B
A
T1
IC0
?
?
S
S1
S2
65Model Building Adjustment to the equilibrium
point
-
- There will be a surplus of S and a shortage of T
at the prevailing relative prices (Py/Px).
66Model Building Adjustment to the equilibrium
point
-
- There will be a surplus of S and a shortage of T
at the prevailing relative prices (Py/Px). - Surplus of S leads to a decrease in the
production of S and employment of factors of
production in that industry.
67Model Building Adjustment to the equilibrium
point
-
- There will be a surplus of S and a shortage of T
at the prevailing relative prices (Py/Px). - Surplus of S leads to a decrease in the
production of S and employment of factors of
production in that industry. - Shortage of T leads to an increase in production
of T and therefore those resources that are
released from industry S are absorbed in the T
industry.
68Model Building Adjustment to the equilibrium
point
-
- There will be a surplus of S and a shortage of T
at the prevailing relative prices (Py/Px). - Surplus of S leads to a decrease in the
production of S and employment of factors of
production in that industry. - Shortage of T leads to an increase in production
of T and therefore those resources that are
released from industry S are absorbed in the T
industry. - As a result the output mix will be changed from B
to A.
69Model Building National Demand and Supply
- Using the information provided in the PPC and
ICs, we can derive the national demand and
supply.
70Model Building National Supply
- Using the information provided in the PPC and
ICs, we can derive the national demand and
supply. We know the slope of the PPC gives the
technical rate of transformation of one commodity
into another.
71Model Building National Supply
- Using the information provided in the PPC and
ICs, we can derive the national demand and
supply. We know the slope of the PPC gives the
technical rate of transformation of one commodity
into another. So if we draw a tangent
(representing the relative price of S in terms of
T) to the PPC at every point we can derive the
national supply for the two commodities.
72Model Building National Supply
- Using the information provided in the PPC and
ICs, we can derive the national demand and
supply. We know the slope of the PPC gives the
technical rate of transformation of one commodity
into another. So if we draw a tangent
(representing the relative price of S in terms of
T) to the PPC at every point we can derive the
national supply for the two commodities. We can
see how many units of S is produced at every
relative price.
73T
A
?
S
Pt
A
?
S
S1
74T
A
?
?
S
Pt
A
?
S
S1
75T
A
B
?
?
S
Pt
B
?
A
?
S
S1
S2
76T
A
B
?
?
S
Pt
NS
B
?
A
?
S
S1
S2
77Model Building National Demand
- We also know that the slope of the IC gives the
Marginal Rate of Substitution between Textiles
and Soybeans (MRSst). That is, the rate at which
a consumer is willing to exchange one commodity
for another.
78Model Building National Demand
- We also know that the slope of the IC gives the
Marginal Rate of Substitution between Textiles
and Soybeans (MRSst). That is, the rate at which
a consumer is willing to exchange one commodity
for another. So, if we draw a tangent (relative
price line) the relevant IC curve we can find the
amount of the commodity (S) that will be demanded
at that relative price.
79T
?
A
S
Ps/Pt
A
?
S
S1
80T
?
A
B
?
S
Ps/Pt
A
?
B
?
S
S1
S2
81T
?
A
B
?
S
Ps/Pt
A
?
B
?
ND
S
S1
S2
82Model Building General equilibrium
- If we put both the national demand and the
supply we can find the equilibrium price and the
quantity of all commodities
83Model Building General equilibrium Autarky
NS
Ps/Pt
E
ND
S
84Model Building International Comparison
Ps/Pt
NS
NS
E
C
D
?
?
E
A
B
ND
ND
S
S
United States
Great Britain
Britain