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Model Building

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Title: Model Building


1
Model Building
  • In this chapter we are going to lean some tools
    for analyzing the following questions

2
Model Building
  • In this chapter we are going to lean some tools
    for analyzing the following questions
  • What goods will a country import?

3
Model 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?

4
Model 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 ?

5
Model 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?

6
Model 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?

7
Model Building
  • In the process of model building, one should
    make sure to avoid the normative aspects of the
    question under analysis.

8
Model 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.

9
Model Building ASSUMPTIONS SUPPLY SIDE
  • 1-- all economic agents are rational

10
Model Building ASSUMPTIONS SUPPLY SIDE
  • 1-- all economic agents are rational
  • - firms are profit maximizers

11
Model Building ASSUMPTIONS SUPPLY SIDE
  • 1-- all economic agents are rational
  • - firms are profit maximizers
  • - consumers are utility maximizers

12
Model Building ASSUMPTIONS SUPPLY SIDE
  • 2-- there are
  • 2 countries A (America) and B (Britain)

13
Model Building ASSUMPTIONS SUPPLY SIDE
  • 2-- there are
  • 2 countries A (America) and B (Britain)
  • 2 goods S (Soybeans) and T (Textiles)

14
Model 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

15
Model 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

16
Model Building ASSUMPTIONS SUPPLY SIDE
  • 3-- there is no money illusion.

17
Model Building ASSUMPTIONS SUPPLY SIDE
  • 4-- In each country
  • factor endowment is fixed

18
Model Building ASSUMPTIONS SUPPLY SIDE
  • 4-- In each country
  • factor endowment is fixed
  • technology is constant

19
Model Building ASSUMPTIONS SUPPLY SIDE
  • 5-- Perfect competition in
  • product market and

20
Model Building ASSUMPTIONS SUPPLY SIDE
  • 5-- Perfect competition in
  • product market and
  • input market

21
Model Building ASSUMPTIONS SUPPLY SIDE
  • 6-- Factors of production are mobile within each
    country and industry.

22
Model Building ASSUMPTIONS DEMAND SIDE
  • Each Indifference curve shows
  • trade off between two commodities

23
Model Building ASSUMPTIONS DEMAND SIDE
  • Each Indifference curve shows
  • trade off between two commodities
  • level of satisfactions (total utility)

24
Model Building ASSUMPTIONS DEMAND SIDE
  • Each Indifference curve shows
  • trade off between two commodities
  • level of satisfactions (total utility)
  • only ordinal and not cardinal preferences.

25
Model Building ASSUMPTIONS DEMAND SIDE
  • Indifference curves analysis is based on the
    following assumptions
  • i-- Commodity units are divisible to a very
    small size,

26
Model 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,

27
Model 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

28
Model 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

29
Model Building ASSUMPTIONS DEMAND SIDE
  • Characteristics of ICs
  • i-- ICs are non-intersecting.

30
Model Building ASSUMPTIONS DEMAND SIDE
  • Characteristics of ICs
  • i-- ICs are non-intersecting.
  • ii-- ICs are continuous

31
Model 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.

32
Model 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

33
Model 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.

34
Model Building Budget Constraint
  • Indifference Curves show the desire of the
    individual and the community. In other words,
    their willingness.

35
Model 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 )

36
Model 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

37
Model 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

38
Model 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)

39
Budget Constraint
  • Example

40
Model 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.

41
Model 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

42
Model 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

43
Model Building ASSUMPTIONS DEMAND SIDE
  • If the group were to rank these fruits, we would
    have
  • apples are preferred to oranges by Janice and Zach

44
Model 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.

45
Model 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.

46
Model Building ASSUMPTIONS DEMAND SIDE
  • There are three possibilities to have a
    consistent preference ordering
  • 1-- Robinson Crusoe economy

47
Model 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,

48
Model 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.

49
Model 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.

50
Model Building General Equilibrium Solution of
the Model Autarky Solution
  • Given the assumptions of
  • i-- Consumer and producers' rationality

51
Model 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

52
Model 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

53
Model 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

54
Model Building General Equilibrium Solution of
the Model Autarky Solution
  • The economy will find an optimal solution on the
    PPC.

55
Model 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.

56
Model Building General Equilibrium Solution of
the Model Autarky Solution

S
T
57
Model Building General Equilibrium Solution of
the Model Autarky Solution

S
PPC
T
58
Model Building General Equilibrium Solution of
the Model Autarky Solution

Price line/budget constraint
S
T
59
Model Building General Equilibrium Solution of
the Model Autarky Solution

S
Indifference Curve
A
T
60
Model Building General Equilibrium Solution of
the Model Autarky Solution

S
Indifference Curve
A
S1
T
61
Model Building General Equilibrium Solution of
the Model Autarky Solution

S
A
S1
T
T1
62
Model 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)

63
Model 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
64
Model 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
65
Model 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).

66
Model 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.

67
Model 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.

68
Model 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.

69
Model Building National Demand and Supply
  • Using the information provided in the PPC and
    ICs, we can derive the national demand and
    supply.

70
Model 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.

71
Model 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.

72
Model 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.

73
T
A
?
S
Pt
A
?
S
S1
74
T
A
?
?
S
Pt
A
?
S
S1
75
T
A
B
?
?
S
Pt
B
?
A
?
S
S1
S2
76
T
A
B
?
?
S
Pt
NS
B
?
A
?
S
S1
S2
77
Model 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.

78
Model 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.

79
T
?
A
S
Ps/Pt
A
?
S
S1
80
T
?
A
B
?
S
Ps/Pt
A
?
B
?
S
S1
S2
81
T
?
A
B
?
S
Ps/Pt
A
?
B
?
ND
S
S1
S2
82
Model 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

83
Model Building General equilibrium Autarky
NS

Ps/Pt
E
ND
S
84
Model Building International Comparison

Ps/Pt
NS
NS
E
C
D
?
?
E
A
B
ND
ND
S
S
United States
Great Britain
Britain
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