topic 1: lecture 3
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See Handout (contains whole of lectures 3-5). Topic 1: Lecture 3. The circular flow model. Agent: Households. Demand. Supply. Market: Goods/Services. Market: Inputs. Agent: Firms. Demand. Supply. Topic 1: Lecture 3. Demand - PowerPoint PPT PresentationTRANSCRIPT
Economics 1 (EC107) 2010-11: Micro (Term 1)
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
•The circular flow model
Agent:
Households
Market:
Goods/Services
Market:
Inputs
Agent:
Firms
Demand
Demand
Supply
Supply
1
See Handout (contains whole of lectures 3-5)
Economics 1 (EC107) 2011-12: Micro (Term 1)
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
•Demand
•Consider a Demand Relation:•What are the influences on Demand for a good . . . ?
X
px
D
apo
Xo
How does a change in some other influence affect the demand curve?
What does the slope of the demand curve tell us?
b
2
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
We can write the demand relation as:
( | , , ,...)
Note the crucial difference between(i) A movement along the demand curve(ii) A shift in the demand curve
d dX X p p p Mx y z
3
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
We can also write the (inverse) demand relation as:
( | , , ,...)
This is best thought of as the equation that determines the price the firm can charge for particular levels of output.
dp p X p p Mx x y z
4
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
As a particular example of an inverse demand curve:1( ).
This can be re-written as.
How would you interpret the parameters 'a' and 'b'?How would you draw this demand curve?
dX a pb
dp a bX
5
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
Supply
•Consider a Supply Relation:•What are the influences on Supply a good . . . ?
X
px
S
apo
Xo
How does a change in some other influence affect the Supply curve?
What does the slope of the Supply curve tell us?
b
6
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
We can write the (inverse) supply relation as:
( | ,...).
This is best thought of as the equation that determines the price the firm requires in orderto induce it to supply particular levels of o
sp p X px x y
utput.Example:
.sp c dX
7
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
Putting together Supply and Demand:
X
px
S
pe
Xe
What is meant by the ‘market equilibrium’?
What are the possible properties of a market equilibrium?
D
8
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
Comparative Statics:
X
px
S
pe
Xe
What is the effect on market equilibrium of a shift in demand?
D
9
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
Comparative Statics:
X
px
S
pe
Xe
What is the effect on market equilibrium of a shift in supply?
D
10
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
Uniqueness of equilibrium and price bubbles:
X
px
S
pe
Xe
Suppose D is the Willingness to Pay for housing. It’s likely to depend on Consumer Confidence (CC). (i) What happens if CC rises? (ii) What might cause CC to rise? What is the implication of this?
D
11
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
Putting together supply and demand:
(1) ,
(2) .
How many equations do we have?And how many unknowns?
dp a bX
sp c dX
12
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
There is a 3rd equation:
(3) .
What is this equation, in terms of its Economic meaning?
We can now solve:
d sX X
13
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
It is straightforward to show that:
and
.
In other words, . . .
a cXb d
ad bcpb d
14
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 3
Knowing the values of the parameters givesus the values of price and quantity traded in equilibrium.
We can also carry out the comparative static exercises in order to see the effects of changes in the parameters on the equilibrium values of price and quantities.
How would you do this?
15
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4
Demand Analysis (or analysis of ‘Consumer Choice’)
Choice is based on . . .
. . . Preferences and
. . . Constraints
We’ll analyse each of these in turn.
16
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4
Demand Analysis: Preferences
Suppose your happiness depends on just 2 commodities
(that you might buy in the market):
e.g., ???
17
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4
Demand Analysis: Preferences
E.g., Books and Food
We assume that you have preferences over these goods and that the nature of your preferences satisfies various properties:
(i) Non-satiation . . . . . . in words:
(ii) Ordinal Ranking
(iii) Transitivity
(iv) Completeness
18
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4
Demand Analysis: Preferences
Non-satiation . . . in a diagram.
F
B
F1 F2
B1
19
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesOur assumptions about the properties of preferences imply that we
can represent preferences using Indifference Curves. These ICs will have properties which depend upon the properties of the underlying preferences.
F
B
F1 F2
B1
We can show that an IC must slope downwards because of non-satiation.
20
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesWe can show that ICs cannot cross under the assumptions we have
made about preferences:
F
B
IC1
IC2
21
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesThe slope of the IC is the MRS between the 2 goods (refer to
earlier slides).
F
B
IC1
22
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesIf the IC is linear, this means that the MRS is constant.
F
B
IC1
23
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesIt is more common to assume that the MRS is diminishing: why is
this and what does it imply about the IC?
F
B
24
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesIt is more common to assume that the MRS is diminishing: why is
this and what does it imply about the IC?
F
B
IC1
25
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesWhat would it mean if the IC was upward-sloping?
F
B
IC1
26
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesWhat would this mean?
F
B
IC1
27
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesUnder the assumption of completeness, there is an IC passing
through every possible point:
F
B
IC1
IC2
28
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 4Demand Analysis: PreferencesThe consumer would like to get to the highest possible IC: what
limits this?
F
B
IC1
IC2
ICn
29
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: ConstraintsWe said that our understanding of Consumer Choice rests on the
analysis of Preferences and Constraints. Let’s now turn to consider Constraints.
X
Y
Xmax0
Ymax
30
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: ConstraintsWe can represent a budget set and a budget frontier (or constraint)
X
Y
Xmax0
Ymax
31
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: ConstraintsWe can represent a budget set and a budget frontier (or constraint)
X
Y
Xmax0
Ymax
What equation can we give this constraint?
32
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Constraints
The equation tells us that if we spend all our money income, M, on X and Y, our spending be equal to:
M xp ypx y
33
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Constraints
Re-arranging, the equation for the budget constraint is:
How do you interpret this equation? And Graphically?
y
pM xy xpp y
34
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: ConstraintsThe equation of the budget constraint:
X
Y
Xmax0
Ymaxy
pM xy xpp y
35
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: ConstraintsGiven the position of the budget constraint, what will be the
consumer’s choice of X and Y? This will depend on their preferences:
X
Y
Xmax0
Ymax
36
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Constrained choiceGiven the position of the budget constraint, what will be the
consumer’s choice of X and Y? This will depend on their preferences:
X
Y
Xmax0
Ymax
IC1 IC2
IC3
37
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Constrained choiceGiven the position of the budget constraint, what will be the
consumer’s choice of X and Y? This will depend on their preferences:
X
Y
Xmax0
Ymax
ICmax
38
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Constrained choiceGiven the position of the budget constraint, what will be the
consumer’s choice of X and Y? This will depend on their preferences:
X
Y
Xmax0
Ymax
X*
Y*a
39
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Constrained choiceSo, by bringing together preferences and constraints, we have a
model which predicts/explains the consumer’s choices (demands) for X and Y . . . given . . .?
X
Y
Xmax0
Ymax
X*
Y*a
40
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Comparative StaticsWhat will happen to the optimal choices of X and Y if there are
relevant changes to the parameters of the model?
X
Y
Xmax0
Ymax
X*
Y*a
What are the ‘relevant parameters’?
41
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Comparative StaticsWhat will happen to the optimal choices of X and Y if there are
relevant changes to the parameters of the model?
X
Y
Xmax0
Ymax
X*
Y*a
Consider a change in money income. How do we show this?
42
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Change in money income
X
Y
Xmax0
Ymax
X*
Y*a
43
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Change in money income
X
Y
Xmax0
Ymax
X*
Y* a
â
What can you say about the demand for X as M↑?
And the demand for Y?
44
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Change in money income
X
Y
Xmax0
Ymax
X*
Y* a
â
What can you say about the demand for X as M↑?
And the demand for Y?
45
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Change in money income
X
Y
Xmax0
Ymax
X*
Y* a
â
What can you say about the demand for X as M↑?
And the demand for Y?
46
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Change in money income
X
Y
Xmax0
Ymax
X*
Y* a â
What can you say about the demand for X as M↑?
And the demand for Y?
47
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 5
Demand Analysis: Change in money income
X
Y
Xmax0
Ymax
X*
Y* aâ
What can you say about the demand for X as M↑?
And the demand for Y?
48
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6
Demand Analysis: Change in price of X
X
Y
Xmax0
Ymax
X*
Y*a
What can you say about the demand for X as Px↓?
49
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6
Demand Analysis: Change in price of X (CASE 1)
X
Y
Xmax0
Ymax
X*
Y*a
What can you say about the demand for X as Px↓?
IC1 IC2
â
50
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6
Demand Analysis: Change in price of X (CASE 1)
X
Y
Xmax0
Ymax
X*
Y*a
What is the implication for the shape of the demand curve for X: in (Px, X)–space?
What is held constant along this demand curve?
IC1 IC2
â
51
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6
Demand Analysis: Change in price of X (CASE 2)
X
Y
Xmax0
Ymax
X*
Y*a
What is the implication for the shape of the demand curve for X: in (Px, X)–space?
What is held constant along this demand curve?
IC1
IC2
â
52
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6
Demand Analysis: Change in price of X (CASE 2)
X
Y
Xmax0
Ymax
X*
Y*a
What is the relationship between the price of X, its demand, and the demand for Y?
IC1
IC2
â
53
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6
Demand Analysis: Change in price of X (CASE 3)
X
Y
Xmax0
Ymax
X*
Y*a
IC1IC2
â
What is the implication for the shape of the demand curve for X: in (Px, X)–space?
54
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6
Demand Analysis: Change in price of X (CASE 3)
X
Y
Xmax0
Ymax
X*
Y*a
IC1IC2
â
What is the relationship between the price of X, its demand, and the demand for Y?
55
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6
Demand Analysis: Change in price of X (CASE 4)
X
Y
Xmax0
Ymax
X*
Y*a
IC1 IC2
â
What is the implication for the shape of the demand curve for X: in (Px, X)–space?
56
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6Demand Analysis: Change in price of X (CASE 3 Revisited)
X
Y
Xmax0
Ymax
X*
Y*a
â
There are 2 reasons for the rise in demand for X following the fall in its price:
(i) Disposable (or ‘real’) Income Effect
(ii) Relative Price Effect
57
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6
Demand Analysis: Change in price of X (CASE 3 Revisited)
There are 2 reasons for the rise in demand for X following the fall in its price:
(i) Disposable (or ‘real’) Income Effect
The budget constraint shifts outwards and hence the individual can achieve higher ‘utility’; that is, move on to previously unobtainable Indifference Curves. They are able to buy more of both X and Y: whether or not they do so will depend on their preferences over X and Y. If X is normal, for example, the Real Income Effect will cause the individual to buy more X.
(ii) Relative Price Effect
X is now relatively cheaper than previously relative to Y. The individual is therefore likely to switch from Y towards X, to some extent.
58
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6Demand Analysis: Change in price of X (CASE 3 Revisited)
X
Y
Xmax0
Ymax
X*
Y*a
â
We would now like to be able to distinguish between these two effects in the diagram.
(i) Real Income Effect
(ii) Relative Price Effect
59
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6Demand Analysis: Change in price of X (CASE 3 Revisited)
X
Y
Xmax0
Ymax
X*
Y*a
â
Consider first the Relative Price Effect.
Suppose relative prices had changed, but that there had been no Real Income Effect of the price change.
What point in the diagram could represent such a position?
60
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6Demand Analysis: Change in price of X (CASE 3 Revisited)
X
Y
Xmax0
Ymax
X*
Y*a
â
Consider first the Relative Price Effect.
Suppose relative prices had changed, but that there had been no Real Income Effect of the price change.
What point in the diagram could represent such a position? ‘b’
b
61
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6Demand Analysis: Change in price of X (CASE 3 Revisited)
X
Y
Xmax0
Ymax
X*
Y*a
â
Relative Price Effect.
What change is causing the consumer equilibrium to move from ‘a’ to ‘b’?
What is not changing between ‘a’ and ‘b’?
Hence, ‘a’ to ‘b’ represents a pure relative price effect.
bAs ‘a’ and ‘b’ lie on the same IC, there is no ‘Real Income’ change in moving from ‘a’ to ‘b’.
62
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6Demand Analysis: Change in price of X (CASE 3 Revisited)
X
Y
Xmax0
Ymax
X*
Y*a
â
Relative Price Effect.
‘a’ to ‘b’ represents a pure relative price effect. More commonly, we refer to it as a substitution effect
b
S
Xs
63
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6Demand Analysis: Change in price of X (CASE 3 Revisited)
X
Y
Xmax0
Ymax
X*
Y*a
â
Real Income Effect.
We claimed that the Total Effect of the price change (i.e., from ‘a’ to ‘â’) is made up of a Relative Price (Substitution) Effect and a Real Income Effect.
b
S
Xs
As ‘a’ to ‘b’ is the substitution effect, can we show that ‘b’ to ‘â’ is the Real Income Effect?
64
Robin Naylor, Department of Economics, Warwick
Topic 1: Lecture 6Demand Analysis: Change in price of X (CASE 3 Revisited)
X
Y
0
Ymax
X*
Y*a
â
Real Income Effect.
Compare ‘b’ and ‘â’. What have they got in common? What is different between them? Your answers should confirm for you that ‘b’ to ‘â’ captures the Real Income Effect.
b
S
Xs
As ‘a’ to ‘b’ is the substitution effect, can we show that ‘b’ to ‘â’ is the Real Income Effect?
I
X**
65
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
âThe total effect of the price change is to move the consumer’s choice from ‘a’ to ‘â’.
If we plot this into the lower diagram, what are we plotting?
Deriving demand curves
66
Topic 1Lecture 7
See Handout
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
âThe total effect of the price change is to move the consumer’s choice from ‘a’ to ‘â’.
If we plot this into the lower diagram, what are we plotting? â
67
Topic 1Lecture 7
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
âThe total effect of the price change is to move the consumer’s choice from ‘a’ to ‘â’.
If we plot this into the lower diagram, what are we plotting? â
?
68
Topic 1Lecture 7
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
âThe total effect of the price change is to move the consumer’s choice from ‘a’ to ‘â’.
If we plot this into the lower diagram, what are we plotting? â
What can you say about the slope of this curve? Must it be –ve?
CMIDC
69
Topic 1Lecture 7
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
âThe Substitution Effect of the price change is to move the consumer’s choice from ‘a’ to ‘b’.
If we plot this into the lower diagram, what are we plotting?
b
S
S ?
70
Topic 1Lecture 7
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
âThe Substitution Effect of the price change is to move the consumer’s choice from ‘a’ to ‘b’.
If we plot this into the lower diagram, what are we plotting?
b
S
S CUDC/CRIDC
71
Topic 1Lecture 7
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
âThe Substitution Effect of the price change is to move the consumer’s choice from ‘a’ to ‘b’.
b
S
S CUDC/CRIDC
Must this curve have a –ve slope?
72
Topic 1Lecture 7
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
â
The Substitution Effect of the price change is to move the consumer’s choice from ‘a’ to ‘b’.
b
S
S CRIDC
The Income Effect of the price change is to move the consumer’s choice from ‘b’ to ‘â’.
The Substitution Effect determines the CRIDC.
The Substitution Effect combined with the Income Effect determines the CMIDC.
I
I
73
Topic 1Lecture 7
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
â
The Substitution Effect of the price change is to move the consumer’s choice from ‘a’ to ‘b’.
b
S
S CRIDC
The Income Effect of the price change is to move the consumer’s choice from ‘b’ to ‘â’.
The Substitution Effect determines the CRIDC.
The Substitution Effect combined with the Income Effect determines the CMIDC.
I
I
â
CMIDC
74
Topic 1Lecture 7
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
â
The Substitution Effect of the price change is to move the consumer’s choice from ‘a’ to ‘b’.
b
S
S CRIDC
The Income Effect of the price change is to move the consumer’s choice from ‘b’ to ‘â’.
The Substitution Effect determines the CRIDC.
The Substitution Effect combined with the Income Effect determines the CMIDC.
I
I
â
CMIDC
The difference between the CRIDC and the CMIDC is the Income Effect.
In this diagram, X is a Normal Good.
Therefore, the CMIDC is more elastic than the CRIDC
75
Topic 1Lecture 7
See Handout
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
â
The Substitution Effect of the price change is to move the consumer’s choice from ‘a’ to ‘b’.
b
S
S CRIDC
The Income Effect of the price change is to move the consumer’s choice from ‘b’ to ‘â’.
The Substitution Effect determines the CRIDC.
The Substitution Effect combined with the Income Effect determines the CMIDC.
I
I
â
CMIDC
The difference between the CRIDC and the CMIDC is the Income Effect.
In this diagram, X is a Weakly Inferior Good.
Therefore, the CMIDC is less elastic than the CRIDC
76
Topic 1Lecture 7
See Handout
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
â
The Substitution Effect of the price change is to move the consumer’s choice from ‘a’ to ‘b’.
b
S
S CRIDC
The Income Effect of the price change is to move the consumer’s choice from ‘b’ to ‘â’.
The Substitution Effect determines the CRIDC.
The Substitution Effect combined with the Income Effect determines the CMIDC.
I
I
â
CMIDC ?
The difference between the CRIDC and the CMIDC is the Income Effect.
In this diagram, X is a Strongly Inferior Good.
Therefore, the CMIDC is +vely sloped.
77
Topic 1Lecture 7
See Handout
Robin Naylor, Department of Economics, Warwick
X
X
Px
Px
a
a
b
â
The Substitution Effect of the price change is to move the consumer’s choice from ‘a’ to ‘b’.
b
S
S CRIDC
The Income Effect of the price change is to move the consumer’s choice from ‘b’ to ‘â’.
The Substitution Effect determines the CRIDC.
The Substitution Effect combined with the Income Effect determines the CMIDC.
I
I
â
CMIDC
The difference between the CRIDC and the CMIDC is the Income Effect.
In this diagram, X is a Strongly Inferior Good.
Therefore, the CMIDC is +vely sloped.
(Giffen Good)
78
Topic 1Lecture 7
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8
Market Demand
X
p
01 02 0M
D2D1
p p
?
79
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8
Market Demand
X
p
01 02 0M
D2D1
p p
80
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8
Market Demand
Horizontal Summation (Why?)(Note: we’ll see a case of vertical summation later in the module)
Notice than in the 2-person case above, the market demand curve is ‘kinked’.
X
p
01 02 0M
D2D1
p p
DM
81
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8
Consumer Surplus
Interpret the ‘Marginal Willingness to Pay’ (Marginal Benefit, Marginal Valuation)
X0
p
p*
X*
S
D
82
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8
Consumer Surplus
Consumer Surplus on ‘first unit’.
X0
p
p*
X*
S
D
83
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8
Consumer Surplus
Consumer Surplus on ‘all units’.
A
0
p
p*
X*
S
D
84
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8Demand Elasticity
We have already said that the Price Elasticity of Demand for a Good is a measure of the sensitivity or responsiveness of demand for a good to a change in its price. More precisely:
. . . Percentage change in demand Percentage change in price
. 100 or . .
. 100
Note: 0.
Consider the special case of the linear demand curve . . .
p e ddx dx
dx p dx px xdp dp x dp dp xp p
85
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8Demand Elasticity
. . . Percentage change in demand Percentage change in price
or .
Consider the special case of the linear demand curve:
1, or;
1It follows that:
And h
p e ddx pdp x
ap a bx x pb bdxdp b
1ence that: . ,
where is the slope of the linear demand curve.
Can you work out what happens to as we move down along the demand curve?
pb x
b
86
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8Demand Elasticity
. . . Percentage change in demand Percentage change in price
or .
Consider the following examples:(i) 0.
(ii) 1; implying . 1, or
(iii) 1< <0.(iv)
p e ddx pdp x
dx p dx dpdp x x p
< < 1.
How would you interpret each of these?
87
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8
(i) 0.
(ii) 1; implying . 1, or
(iii) 1< <0.(iv) < < 1.
dx p dx dpdp x x p
1< <0
Demand Elasticity
0-1
< < 1
88
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 8
Notice that:
Inelastic demand: 1 0 and 1
Elastic demand: 1 and 1.
So, with elastic demand, is 'smaller' in the sense of being more negative,but is 'bigger' in the sense of the absolute val
ue, .
1< <0
Demand Elasticity
0-1
< < 1
89
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 9
Importance of Elasticity
Suppose the Government raises the indirect tax on this commodity. How do we show this?
X0
p
p*
X*
S
D
90
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 9
Importance of Elasticity
What is the Tax Revenue . . . ?
X0
p
p*
X*
S
D
ST
91
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 9
Importance of Elasticity
What is the Tax Revenue?What is the Tax Burden?
X0
p
p*
X*
S
D
ST
AB
92
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 9
Importance of Elasticity
What is the Tax Burden?How would the shares of the tax burden change with a different price elasticity of demand for the good?
X0
p
p*
X*
S
D
ST
AB
S
ST
0 X*
p
93
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 9
Importance of Elasticity
What is the Tax Burden?How would the shares of the tax burden change with a different price elasticity of demand for the good?
X0
p
p*
X*
S
D
ST
AB
S
ST
0 X*
p
D
94
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 9
Importance of Elasticity
How would the shares of the tax burden change with a different price elasticity of demand for the good? Why is this?
X0
p
p*
X*
S
D
ST
AB
S
ST
0 X*
p
D
AB
95
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10Applications of Consumer Choice Theory1. Labour Supply: The Income-Leisure Trade-off
Leisure
Income
IC
96
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Labour Supply: The Income-Leisure Trade-off
Leisure
Income
IC
Tmax
Tmax
Time Constraint: Tmax
0Labour Supply
0
97
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Labour Supply: The Income-Leisure Trade-off
Leisure
Income
Tmax
Tmax
Wage Constraint: w (wage per hour)
0Labour Supply
0
w
98
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Labour Supply: The Income-Leisure Trade-off
Leisure
Income
Tmax
Tmax
Wage Constraint: w (wage per hour)
And Non-labour income, N.
0Labour Supply
0
w
N
99
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Labour Supply: The Income-Leisure Trade-off
Leisure
Income
IC
Tmax
Tmax
Optimisation, given w, N and Tastes.
Total Income = Labour Income +
Non-Labour Income
Total Income = Y + N
0Labour Supply
0
w
N
L*
N
Y
100
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Labour Supply: The Income-Leisure Trade-off
Leisure
Income
IC
Tmax
Tmax
Optimisation, given w, N and Tastes.
What happens to optimal Labour Supply if N rises (why might it?)?
0Labour Supply
0
w
N
L*
N
Y
101
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Labour Supply: The Income-Leisure Trade-off
Leisure
Income
IC
Tmax
Tmax
What happens to optimal Labour Supply if N rises
0
N
102
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Labour Supply: The Income-Leisure Trade-off
Leisure
Income
IC
Tmax
Tmax
What happens to optimal Labour Supply if N rises?
Under what assumption?
Why?
0
N
IC*a
b
103
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Labour Supply: The Income-Leisure Trade-off
Leisure
Income
IC
Tmax
Tmax
0Labour Supply
0
w
N
L*
N
Y
w
L, Labour
Supply
What happens to optimal Labour Supply if w rises?
a a
L*
w
104
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
IC
Tmax
Tmax
0Labour Supply
0
w
N
L*
w
L, Labour
Supply
What happens to optimal Labour Supply if w rises?
a a
L*
105
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
IC
Tmax
Tmax
0Labour Supply
0
w
L*
w
L, Labour
Supply
What happens to optimal Labour Supply if w rises?
a a
L*
a*
106
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
IC
Tmax
Tmax
0Labour Supply
0
L*
w
L, Labour
Supply
What is the implied shape of the Labour Supply curve in this case?
aa
L*
a* a*
107
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
IC
Tmax
Tmax
0Labour Supply
0
L*
w
L, Labour
Supply
What is the implied shape of the Labour Supply curve in this case? And the elasticity of Labour Supply?
a Ls
L*
a*
108
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
IC
Tmax
Tmax
0Labour Supply
0
L*
To understand how labour supply responds to a change in the wage rate, it is useful to exploit the distinction between Income and Substitution Effects.
To do this, we need to shift back the new Budget Line until it is just a tangent to the original Indifference Curve . . .
a
a*
109
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
Tmax
Tmax
0Labour Supply
0
L*
To understand how labour supply responds to a change in the wage rate, it is useful to exploit the distinction between Income and Substitution Effects.
To do this, we need to shift back the new Budget Line until it is just a tangent to the original Indifference Curve . . .
a
a*
110
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
Tmax
Tmax
0Labour Supply
0
L*
To understand how labour supply responds to a change in the wage rate, it is useful to exploit the distinction between Income and Substitution Effects.
To do this, we need to shift back the new Budget Line until it is just a tangent to the original Indifference Curve . . . with the move from ‘a’ to ‘a*’ split into:
‘a’ –> ‘b’; Substitution Effect,
‘b’ –> ‘a*’; Income Effect.
a
a*b
S
I
111
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
Tmax
Tmax
0Labour Supply
0
L*
a
a*b
S
I
‘a’ –> ‘b’; Substitution Effect,
‘b’ –> ‘a*’; Income Effect.
When the Substitution and Income Effects just cancel each other out, the rise in the wage rate has no net effect on Labour Supply and the derived Labour Supply curve is vertical, as we have seen.
112
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
Tmax
Tmax
0Labour Supply
0
L*
‘a’ –> ‘b’; Substitution Effect,
‘b’ –> ‘a*’; Income Effect.
How would you interpret the Income Effect in words?
And the Substitution Effect
(Hint: exploit the concept of the Opportunity Cost)
a
a*b
S
I
113
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
Tmax
Tmax
0Labour Supply
0
L*
‘a’ –> ‘b’; Substitution Effect,
‘b’ –> ‘a*’; Income Effect.
When the Substitution and Income Effects just cancel each other out, the rise in the wage rate has no net effect on Labour Supply and the derived Labour Supply curve is vertical, as we have seen.
What about if the Substitution Effect dominates?
What is the shape of the Labour Supply curve in this case?
a
a*b
S
I
114
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
Tmax
Tmax
0Labour Supply
0
L*
w
L, Labour
Supply
What is the implied shape of the Labour Supply curve in this case? And the elasticity of Labour Supply?
a Ls
L*
a*
I S
When the S-effect dominates the I-effect
a
a*
115
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
Tmax
Tmax
0Labour Supply
0
L*
w
L, Labour
Supply
What is the implied shape of the Labour Supply curve in this case? And the elasticity of Labour Supply?
a
Ls
L*
a*
I S
When the S-effect dominates the I-effect
a
a*
S I
116
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
Leisure
Income
Tmax
Tmax
0Labour Supply
0
L*
w
L, Labour
Supply
What is the implied shape of the Labour Supply curve in this case? And the elasticity of Labour Supply?
a
Ls
L*
a*
I S
When the I-effect dominates the S-effect
a
a*
I S
117
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 10
I S
S I
Labour Supply: the evidence . . .
And for most people?And the implication for income tax cuts?
w
L
Ls
S I
118
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Applications of Consumer Choice Theory2. Inter-temporal Choice
I1 , C1
I0 , C0
Think of an ‘Endowment Point’ and add it to the diagram.
119
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
From the Endowment Point, where can Saving take you?
And Borrowing?
E
I0
I1
120
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
From the Endowment Point, where can Saving take you?
(And Borrowing?)
E
I0
I1
121
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
From the Endowment Point, where can Saving take you?
(And Borrowing?)
E
One Euro saved this period yields one Euro plus (one Euro times the rate of interest) next period. Or . . .
I0
I11
1+i
122
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
From the Endowment Point, where can Saving take you?
E
Or . . .
0 0 0 0( ) saved yields (1 )( ) next period.I C i I C
I0
I1
123
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11
0 0 0 0( ) saved yields (1 )( ) next period.I C i I C
0 0( )I C
Inter-temporal Choice
I1 , C1
I0 , C0
From the Endowment Point, where can Saving take you?
E
Or . . .I0
I1
0 0(1 )( )i I C
C0
C1
124
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11
0 0 0 0( ) saved yields (1 )( ) next period.I C i I C
0 0( )I C
Inter-temporal Choice
I1 , C1
I0 , C0
From the Endowment Point, where can Saving take you?
What is the slope of the budget constraint?
E
Or . . .I0
I1
0 0(1 )( )i I C
C0
C1
125
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11
0 0 0 0( ) borrowed reduces consumption by (1 )( ) next period.C I i C I
Inter-temporal Choice
I1 , C1
I0 , C0
From the Endowment Point, where can Borrowing take you?
E
Or . . .I0
I1
C0
C1
126
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
From the Endowment Point, where can all possible Saving or Borrowing take you?
This is the inter-temporal budget constraint.
E
I0
I1
Slope = (1 )i
127
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
What is the value of C1?
(Note the value of the slope.)
E
I0
I1
(1 )i
C1
C0
1 1 0 0 +(1 )( ).C I i I C
128
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
Re-arranging:
E
I0
I1
(1 )i
C1
C0
1 1 0 0
1 10 0
+(1 )( )
+(1 )
C I i I C
I CC Ii
129
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
This is the horizontal intercept of the budget constraint. What is its interpretation?
E
I0
I1
10 (1 )
IIi
C1
C0
1 10 0
1
10 0
+(1 )
If we now let =0, then:
+(1 )
I CC IiC
IC Ii
130
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11
10 (1 )
IIi
Inter-temporal Choice
I1 , C1
I0 , C0
How would you show the effect on the inter-temporal budget constraint of a fall in the rate of interest?
E
I0
I1
C1
C0
(1 )i
131
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11
10 (1 )
IIi
Inter-temporal Choice
I1 , C1
I0 , C0
What happens to the Present Value of E after a fall in the rate of interest?
E
I0
I1
C1
C0
(1 )i
132
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
How would you represent an individual’s preferences over consumption today and tomorrow?
E
I0
I1
133
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
What does the slope of the indifference curve represent?
If the MRTP is high (low), what does this mean?
E
I0
I1
134
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
Optimisation.
E
I0
I1
A
C0
C1
135
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
Is this person saving or borrowing?
E
I0
I1
A
C0
C1
136
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
How will they respond to a fall in the rate of interest?
E
I0
I1
A
C0
C1
137
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
How will they respond to a fall in the rate of interest?
Consider the substitution effect.
E
I0
I1
A
C0
C1
138
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
Borrowing is cheaper and so the borrower borrows more (Substitution effect).
They are also better off (why?): so there is an Income effect.
Which way does Income effect go?
E
I0
I1
A
C0
C1
139
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
Borrowing is cheaper and so the borrower borrows more (Substitution effect).
They are also better off (why?): so there is an Income effect.
Which way does Income effect go?
E
I0
I1
A
C0
C1
‘S’ ‘I’
B
140
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
So fall in the rate of interest leads Borrower to borrow more: unless Consumption today is a . . . . ‘?’ Good.
E
I0
I1
A
C0
C1
‘S’ ‘I’
B
141
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
How would you show the effect on a Borrower of a rise in the interest rate?Will the Borrower borrow more or less? On what does your answer depend?E
I0
I1
A
C0
C1
142
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
How would you show the effect on a Saver of a rise in the interest rate?
Will the Saver save more or less? On what does your answer depend?E
I0
I1
A
C0
C1
143
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Inter-temporal Choice
I1 , C1
I0 , C0
How would you show the effect on a Saver of a fall in the interest rate?
Will the Saver save more or less? On what does your answer depend?E
I0
I1
A
C0
C1
144
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 11Intertemporal Choice
10
1 20 2
We saw earlier that .(1 )
Suppose that there are more than the 2 periods:
... .(1 ) (1 ) (1 )
Suppose the stream of Income from an Investment is constant and net of costs:
nn
IPV Ii
II IPV Ii i i
NPV I
2 ... .(1 ) (1 ) (1 )
If the income is in Perpetuity, then we have the remarkably simple result that:
.
What is the implication of this for the effect of on Investment?
n
I I Ii i i
INPVi
i
145
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider an industry in an Autarkic country:
X
p
Sd
Dd
Xd
pd
What is the extent of Consumer Surplus in this case?
146
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider an industry in an Autarkic country:
X
p
Sd
Dd
Xd
pd
What is the extent of Consumer Surplus in this case?
A
147
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider an industry in an Autarkic country:
X
p
Sd
Dd
Xd
pd
And Producer Surplus in this case?
A
148
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider an industry in an Autarkic country:
X
p
Sd
Dd
Xd
pd
And Producer Surplus in this case?
A
B
149
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider an industry in an Autarkic country:
X
p
Sd
Dd
Xd
pd
Suppose that in the Rest of the World, the World Price of X, pw, was higher than pd.
What would this mean?
pw pw
150
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider trade. Suppose the World Price exceeds the Domestic Autarkic price:
X
pSd
Dd
Xd
pd
Domestic Firms would not be prepared to sell any units at the low price of pd.
They will sell at the World Price by exporting to the Rest of the World at the World Price of pw.
Domestic Demand (and sales) are equal to Xdt at the world price.
pw pw
Xdt
151
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider trade. Suppose the World Price exceeds the Domestic Autarkic price:
X
pSd
Dd
Xd
pd
Domestic Firms would not be prepared to sell any units at the low price of pd.
They will sell at the World Price by exporting to the Rest of the World at the World Price of pw.
Effectively, the Domestic Firms’ Supply curve becomes the one in bold. Be sure you can explain this to yourself.
pw pw
Xdt
152
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider trade. Suppose the World Price exceeds the Domestic Autarkic price:
X
pSd
Dd
Xd
pd
Effectively, the Domestic Firms’ Supply curve becomes the one in bold. Be sure you can explain this to yourself.
Total Domestic Firm sales are given by Xt. Exports are equal to Xt – Xdt.
pw pw
Xdt Xt
153
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider trade. Suppose the World Price exceeds the Domestic Autarkic price:
X
pSd
Dd
Xd
pd
What has happened to CS and PS, and hence total welfare, in this country under the equilibrium with trade compared to the total welfare (CS+PS) in this country under Autarky?
So Who Gains and Who Loses from Trade (and by how much in each case)?
Work it out for yourself.
pw pw
Xdt Xt
154
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider an industry in an Autarkic country:
X
p
Sd
Dd
Xd
pd
Suppose that in the Rest of the World, the World Price of X, pw, was lower than pd.
What would this mean?
pw pw
155
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider trade. Suppose the World Price is less than the Domestic Autarkic price:
X
p
Sd
Dd
Xd
pd
Domestic buyers would not be prepared to buy any units at the high price of pd.
They will want to buy at the World Price by importing from the Rest of the World at the World Price of pw.
Domestic Supply (and hence sales) are equal to Xdt at the world price.
pw pw
Xdt
156
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider trade. Suppose the World Price is less than the Domestic Autarkic price:
X
p
Sd
Dd
Xd
pd
Domestic buyers would not be prepared to buy any units at the high price of pd.
Effectively, the Domestic Buyers’ Demand curve becomes the one in bold. Be sure you can explain this to yourself.
pw pw
Xdt
157
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider trade. Suppose the World Price is less than the Domestic Autarkic price:
X
p
Sd
Dd
Xd
pd
Effectively, the Domestic Buyers’ Demand curve becomes the one in bold. Be sure you can explain this to yourself.
Total Domestic Buyers’ consumption is given by Xt. Imports are equal to Xt – Xdt.
pw pw
Xdt Xt
158
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider trade. Suppose the World Price is less than the Domestic Autarkic price:
X
p
Sd
Dd
Xd
pd
What has happened to CS and PS, and hence total welfare, in this country under the equilibrium with trade compared to the total welfare (CS+PS) in this country under Autarky?
So Who Gains and Who Loses from Trade (and by how much in each case)?
Work it out for yourself.
pw pw
Xdt Xt
159
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1 Lecture 12
Gains from Trade
Consider trade. Suppose the World Price is less than the Domestic Autarkic price:
X
p
Sd
Dd
Xd
pd
In the case of a country where there are imports, there might be calls for tariffs or import quotas.
What would be the welfare effects of each of these?
What factors influence the magnitudes of the effects?
pw pw
Xdt Xt
160
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1Key Concepts
• The circular flow model• A simple model of a market• Consumer choice: basic setup• Preferences, indifference curves and utility• Budget constraints• Consumer equilibrium: utility maximization• The algebra of consumer equilibrium• Income consumption curves• Price consumption and the derived demand curves
161
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1Key Concepts
• The algebra of deriving the demand curve• The compensated demand curve• Income and substitution effects of a price change• Normal, inferior and Giffen goods• Consumer surplus• Market demand • The price elasticity of demand• Tax incidence• Winners and Losers from Trade• Labour supply by the household• Capital supply by the household
162
See Handout
Robin Naylor, Department of Economics, Warwick
Topic 1Key Readings
• Frank, Chapters 1-5• Estrin, Laidler and Dietrich, Chapters 1-6
• Online resources:• http://www.bized.ac.uk/current/index.htm• http://www.bized.ac.uk/learn/economics/index.htm
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Robin Naylor, Department of Economics, Warwick
Topic 1Seminar Questions: weeks 3,5
(Note Questions in bold (i.e., 1, 2, 6, 8, 11,17) are the questions on which Seminars should focus. Other questions are preparatory and would be good self-study questions to address ahead of seminar meetings)
1. Explain what economists mean by the term ‘market equilibrium’.2. What is meant by the following properties of an equilibrium:
a. Existenceb. Uniquenessc. Stability
3. What is likely to happen to the demand curve if money incomes of consumers rise, ceteris paribus? (What is meant by ceteris paribus?)
4. What factors are held constant along the demand curve?5. What factors are held constant along the supply curve?6. Explain the difference between a movement along the demand curve and a shift of the
demand curve.
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Robin Naylor, Department of Economics, Warwick
Topic 1Seminar Questions weeks 5-7, continued
7. What are the comparative static properties of a typical market equilibrium (for example, what is likely to happen to the market equilibrium if there is an increase in consumers’ money income)?
8. What are the principal properties of indifference curves? How do these properties relate to the assumptions we make regarding the consumer’s underlying preferences?
9. Using indifference curve analysis, show how the demand for a good responds to a rise in money income, for each of the following cases:
a) A normal goodb) A necessityc) An inferior good
10. Using indifference curve analysis, show how the demand for a good might respond to a change in the price of that good.
11. Show how to decompose the effects of a price change into both income and substitution effects, for each of the possible cases you have considered.
12. Explain intuitively what income and substitution effects are.
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Robin Naylor, Department of Economics, Warwick
Topic 1Seminar Questions weeks 5-7, continued
13. Why is the market demand curve derived by horizontal (rather then by vertical) summation of the individuals demand curves?
14. Is the market demand curve necessarily kinked (like in the figure in the lecture notes)?15. Define what is meant by Consumer Surplus. How do you represent Consumer Surplus in a
diagram?16. Define what is meant by the (own-) price elasticity of demand for a good.17. What happens to the elasticity of demand as we move along the linear demand curve?18. If a proportional tax rate on labour income is cut, what are the possible implications for the
optimal labour supply choices of workers? Explain your answer using diagrams and be careful to distinguish between Income and Substitution Effects.
19. If the rate of interest rises, will savers save more? Will borrowers borrow less?
Further Self-study question suggestions: Try as many as you can of the discussion questions at the end of each of the chapters in Katz and Rosen (or
Morgan et al.) and of the problems at the end of each of the chapters in Estrin et al..
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Robin Naylor, Department of Economics, Warwick
167
Topic 2: Firm Behaviour. Lecture 13
•The circular flow model once more
Agent:
Households
Market:
Goods/Services
Market:
Inputs
Agent:
Firms
Demand
Demand
Supply
Supply
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Robin Naylor, Department of Economics, Warwick
168
Topic 2 Lecture 13Economic Profit, Revenue and Cost
Firm Objective: Profit-maximisation
Profit = Total Revenue – Total Cost
(Normal Profit if TR – TC = 0)
Total Cost includes the Opportunity Costs of the Owner (and hence is one reason for definitions of costs and profits to vary from the accountant’s definition)
Let’s look first and Revenues and then at Costs
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Robin Naylor, Department of Economics, Warwick
169
Revenues
The Firm’s Revenues depend on the Demand Curve it faces:
p=p(X)
e.g.: p = a – bX
Total Revenue is given by
TR = p(X)X
e.g.: TR = (a – bX)X = aX – bX2 Now draw the TR curve.
See HandoutTopic 2 Lecture 13
Robin Naylor, Department of Economics, Warwick
170
Topic 2 Lecture 13Revenues
TR = (a – bX)X = aX – bX2 Now draw the TR curve.
X
X
p
TR
TR Why does the TR curve rise and then fall . . . ?
See Handout
Robin Naylor, Department of Economics, Warwick
171
Topic 2 Lecture 13Revenues
TR = (a – bX)X = aX – bX2
X
X
p
TR
TR
D
This has to do with price elasticity of demand . . .
Demand is elastic
Demand is inelastic
X=a/2b
See Handout
Robin Naylor, Department of Economics, Warwick
172
Topic 2 Lecture 13
2
First note that for the linear case:
.( )So, TR is maximised when 0.
( ) 2 .
( ) 0 2 0 / 2 .
( )What is the name we give to ?
TR aX bXd TR
dXd TR a bx
dXd TR a bX X a b
dXd TR
dX
See Handout
Robin Naylor, Department of Economics, Warwick
173
Topic 2 Lecture 13Revenues
TR = (a – bX)X = aX – bX2
X
X
p
TR
TR
D
Demand is elastic
Demand is inelastic
X=a/2b
MR MR = a – 2bX
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Robin Naylor, Department of Economics, Warwick
174
Topic 2 Lecture 13Next, recall that:
.
In the general case, ( ) and hence: ( ) .
( ) ( )So, ( ) .
Or, .
Re-arranging terms, 1 .
1Or, 1 .
dX pdp X
p p XTR pX p X X
d TR dX dp XMR p X XdX dX dX
dpMR p XdX
dp XMR pdX p
MR p
See Handout
Robin Naylor, Department of Economics, Warwick
175
Topic 2 Lecture 13
1So, 1 .
In other words, is maximised when 0, which is when 1.Suppose demand is elastic ( 1): then we are in the upper part of the demand curve (look back at the diagram to see t
MR p
TR MR
his).
What happens if the firm lowers its price in order to sell an unit of ?There are two effects on :(i) + ve effect: an additional unit is sold at the new price ,(ii) ve effect: the price of
XTR
p each unit sold is now lower than previously.
Identify these 2 effects in terms of the equation for ;
.
If demand is elastic, then only a small price reduction is needed to sell an extra unit
MRdpMR p XdX
,
and the ve effect is relatively weak: the +ve effect dominates and 0 ( ) when 1.MR TR
See Handout
Robin Naylor, Department of Economics, Warwick
176
Topic 2 Lecture 13Now consider what happens in the lower portion of the demand curve, where demand is inelastic.
1Recall that: 1 .
Suppose demand is inelastic ( 1): then we are in the lower part of the dema
MR p
nd curve (look back at the diagram to see this).
What happens if the firm lowers its price in order to sell an unit of ?There are two effects on :(i) + ve effect: an additional unit is sold at the
XTR
new price ,(ii) ve effect: the price of each unit sold is now lower than previously.
.
If demand is inelastic, then a large price reduction is needed to sell an extra unit,
and the ve effe
p
dpMR p XdX
ct is relatively great: it dominates and 0 ( ) when 1.MR TR
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177
Topic 2 Lecture 13
Finally, consider what happens when demand is unit elastic.
1Recall that: 1 .
Suppose demand is unit elastic ( 1): then we are at the mid-point of the linear demand curve (look back at the
MR p
diagram to see this).
What happens if the firm lowers its price in order to sell an unit of ?There are two effects on :(i) + ve effect: an additional unit is sold at the new price ,(ii) ve effe
XTR
p ct: the price of each unit sold is now lower than previously.
.
If demand is unit elastic, then the + ve effect and the ve effect are just equal: 0 ( is unchanged) when 1.
dpMR p XdX
MR TR
See Handout
Robin Naylor, Department of Economics, Warwick
178
Topic 2 Lecture 13Revenues
X
X
p
TR
TR
D
Demand is elastic
Demand is inelastic
X=a/2b
MR
The relationships between:
Demand
TR
MR
should all now be clear to you.
See Handout
Robin Naylor, Department of Economics, Warwick
179
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
Suppose that your business has just one fixed cost to pay:
How would you show this on
the lower panel of the diagram?
And on the upper panel?
See Handout
Robin Naylor, Department of Economics, Warwick
180
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
Suppose that your business has just one fixed cost to pay:
How would you show this on
the lower panel of the diagram?
And on the upper panel?
MC=0
TC
Robin Naylor, Department of Economics, Warwick
181
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
Suppose that your business has just one fixed cost to pay:
What is the profit-maximising output level?
(Recall that = TR – TC.)
TC
Robin Naylor, Department of Economics, Warwick
182
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
In this case, what is the profit-maximising output level?
TC
See Handout
Robin Naylor, Department of Economics, Warwick
183
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
Now suppose that the firm has no fixed costs, but only has variable ‘running’ costs (e.g.?).
How would you show this in the diagram?
In this case, what is the profit-maximising output level?
TC?
See Handout
Robin Naylor, Department of Economics, Warwick
184
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
In this case, what is the profit-maximising output level?
How would you show this in the upper panel?
TC
Robin Naylor, Department of Economics, Warwick
185
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
In this case, what is the profit-maximising output level?
How would you show this in the upper panel?
TC
MC
Robin Naylor, Department of Economics, Warwick
186
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
What does this case represent in terms of costs?
What is the profit-maximising output level?
Where is the MC curve? How does it differ from the previous example?
TC
See Handout
Robin Naylor, Department of Economics, Warwick
187
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
Notice that the general principle is that Profit is maximised when the vertical difference between TR and TC is maximised.
(Because = TR – TC).
TC
See Handout
Robin Naylor, Department of Economics, Warwick
188
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
D
X=a/2b
MR
Notice that the general principle is that Profit is maximised when the vertical difference between TR and TC is maximised.
(Because = TR – TC).
In the upper panel, this translates into the condition that . . . ?
Why?
TC
Robin Naylor, Department of Economics, Warwick
189
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
DMR
Notice that the general principle is that Profit is maximised when the vertical difference between TR and TC is maximised.
(Because = TR – TC).
In the upper panel, this translates into the condition that . . . ?
TC
MC
Robin Naylor, Department of Economics, Warwick
190
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
DMR
What is the value of X when MR = MC?
Consider the linear demand case . . .
TC
MC
See Handout
Robin Naylor, Department of Economics, Warwick
191
Topic 2 Lecture 14
2
Recall that for the linear case:
.which implies that:
( ) 2 .
Now let .
Then it follows that implies that:
2 .2
TR aX bX
d TR MR a bxdX
MC c
MR MC
a ca bX c Xb
See Handout
Robin Naylor, Department of Economics, Warwick
192
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
DMR
What if . . . ?
. . . when MR = MC,
TR < TC?TC
MC
2a cX
b
See Handout
Robin Naylor, Department of Economics, Warwick
193
Topic 2 Lecture 14
Putting Simple Costs and Revenues together
X
X
p
TR
TR
DMR
So the Profit-maximising condition is:
Choose X such that MR = MC,
so long as TR ≥ TC. TC
MC
2a cX
b
See Handout
Robin Naylor, Department of Economics, Warwick
194
Topic 2 Lecture 15• Isoquants, the Short-run production function, Marginal product of labour, and
firm’s costs.
Production isoquants and the MRTS
A household consumes x and y and derives Utility.x and y are inputs and utility is an output.We represent the relationship with indifference curves.
For a firm, K and L are inputs and X is the output.We represent the relationship with production isoquants.
Also think about concept of a trade-off alongthe Isoquant.
xK
L
U
y
X
Slope of IC is MRS
U = U(X, Y)
Slope of Iso-quant is MRTS
X = X(K, L)
See Handout
Robin Naylor, Department of Economics, Warwick
195
Topic 2 Lecture 15
Sometimes we abbreviate this to :( )X X L
In the short-run, K is fixed:
X
L
( , )X X K L
The short-run production function: X = X(L)
In the short-run the firm can vary only Labour inputs.
Labour costs are Variable.
Costs of Capital are Fixed.
See Handout
Robin Naylor, Department of Economics, Warwick
196
Topic 2 Lecture 15X
L
The short-run production function: X = X(L)
The slope of the short-run production function is positive, but it is decreasing . . .
See Handout
Robin Naylor, Department of Economics, Warwick
197
Topic 2 Lecture 15X
L
The short-run production function: X = X(L)
Slope of
X=X(L)
L
In terms of Economics, what is the slope of X(L)?
See Handout
Robin Naylor, Department of Economics, Warwick
198
Topic 2 Lecture 15X
L
The short-run production function: X = X(L)
MPPL
L
dLdX ( )
is the change in outputwhen one extra unit of L is employed.Here we are assuming diminishingMPPL (i.e., 'DRL').
X X L
dXMPPLdL
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Robin Naylor, Department of Economics, Warwick
199
Topic 2 Lecture 15Digression on the relationship between MPPL and MRTS:
Consider the production function:( , )
Totally differentiate:
(Interpret this in words)
Along the Iso-quant, dX = 0: thus,
X X K L
X XdX dL dKL K
X dLL
0, or,
=>
X dKK
XX X dK MPPLLdK dL MRTSXK L dL MPPK
K
See Handout
The textbook Estrin et al goes into this in much more detail.
Robin Naylor, Department of Economics, Warwick
200
Topic 2 Lecture 15X
L
X = X(L)
From the shape of the Short-run production function, we can infer the shape of the firm’s MPPL curve, as we have seen, and also:
(i) the shape of the firm’s Short-run Marginal Cost (MC) curve and
(ii) the shape of the firm’s Short-run Total Variable Cost (STVC) curve.
(For now, we are considering only the firm’s Variable Costs.)
DRL
See Handout
Robin Naylor, Department of Economics, Warwick
201
Topic 2 Lecture 15X
L
X = X(L)
From the shape of the Short-run production function, we can infer the shape of the firm’s MPPL curve and also:
(i) the shape of the firm’s Short-run Marginal Cost (MC) curve
DRL
See Handout
Robin Naylor, Department of Economics, Warwick
202
Topic 2 Lecture 15X
L
X = X(L) From the shape of the Short-run production function, we can infer the shape of the firm’s MPPL curve and also:
(i) the shape of the firm’s Short-run Marginal Cost (MC) curve
DRL
X
MC
dX1
dX2
X1
X2
X1 X2
What is the Marginal Cost of raising output by one unit from X1?
See Handout
Robin Naylor, Department of Economics, Warwick
203
Topic 2 Lecture 15X
L
X = X(L) From the shape of the Short-run production function, we can infer the shape of the firm’s MPPL curve and also:
(i) the shape of the firm’s Short-run Marginal Cost (MC) curve
DRL
X
MC
dX1
dX2
X1
X2
X1 X2
What is the Marginal Cost of raising output by one unit from X2 . . . . ?
= ?
dL1
See Handout
Robin Naylor, Department of Economics, Warwick
204
Topic 2 Lecture 15X
L
X = X(L) From the shape of the Short-run production function, we can infer the shape of the firm’s MPPL curve and also:
(i) the shape of the firm’s Short-run Marginal Cost (MC) curve
DRL
X
MC
dX1
dX2
X1
X2
X1 X2
What is the Marginal Cost of raising output by one unit from X2 . . . . ?
= ?
dL1 dL2
See Handout
Robin Naylor, Department of Economics, Warwick
205
Topic 2 Lecture 15X
L
X = X(L) From the shape of the Short-run production function, we can infer the shape of the firm’s MPPL curve and also:
(i) the shape of the firm’s Short-run Marginal Cost (MC) curve
DRL
X
MC
dX1
dX2
X1
X2
X1 X2
So:
MC(X1) = w.dL1 and
MC(X2) = w.dL2 =>Thus, MC1<MC2.
dL1 dL2
See Handout
Robin Naylor, Department of Economics, Warwick
206
Topic 2 Lecture 15X
L
X = X(L) From the shape of the Short-run production function, we can infer the shape of the firm’s MPPL curve and also:
(i) the shape of the firm’s Short-run Marginal Cost (MC) curve
DRL
X
MC
dX1
dX2
X1
X2
X1 X2
So:
MC(X1) = w.dL1 and
MC(X2) = w.dL2 =>Thus, MC1<MC2.
dL1 dL2
MC1
MC2
See Handout
Robin Naylor, Department of Economics, Warwick
207
Topic 2 Lecture 15X
L
X = X(L) From the shape of the Short-run production function, we can infer the shape of the firm’s MPPL curve and also:
(i) the shape of the firm’s Short-run Marginal Cost (MC) curve
DRL
X
MC
dX1
dX2
X1
X2
X1 X2
So:
MC(X1) = w.dL1 and
MC(X2) = w.dL2 =>Thus, MC1<MC2.
dL1 dL2
MC1
MC2
MC
See Handout
Robin Naylor, Department of Economics, Warwick
208
Topic 2 Lecture 15X
L
X = X(L) Three ways of showing the same thing . . .
. . . DRL
DRL
X
MC
dX1
dX2
X1
X2
X1 X2
dL1 dL2
MC1
MC2
MCMPPL
DRL DRL
MPPL
See Handout
Robin Naylor, Department of Economics, Warwick
209
Topic 2 Lecture 15X
L
X = X(L)
From the shape of the Short-run production function, we can also infer :
(ii) the shape of the firm’s Short-run Total Variable Cost (STVC) curve.
DRL
X
MCMC
X
STVC
?
DRL
See Handout
Robin Naylor, Department of Economics, Warwick
210
Topic 2 Lecture 15X
L
X = X(L)
The STVC shows us what happens to the firm’s total Labour costs as output (and hence labour employment) increases.
STVC certainly increasing: but is it linear? Or is it getting steeper? Or flatter?
As MC is rising under DRL, it follows that STVC is getting steeper: Why?
DRL
X
MCMC
X
STVC
?
DRL
DRL
See Handout
Robin Naylor, Department of Economics, Warwick
211
Topic 2 Lecture 15X
L
X = X(L)
As MC is rising under DRL, it follows that STVC is getting steeper: Why?
Mathematically, what is the relationship between STVC and MC?
DRL
X
MCMC
X
STVC STVC
DRL
DRL
DRL
See Handout
Robin Naylor, Department of Economics, Warwick
212
Topic 2 Lecture 15X
L
X = X(L)
DRL
X
MCMC
X
STVC STVC
DRL
DRL
DRL
L
MPPL
MPPLDRL
See Handout
Robin Naylor, Department of Economics, Warwick
213
Topic 2 Lecture 15X
L
X = X(L)
X
MC
?
X
STVC
?
IRL
IRL
IRL
L
MPPL
?
IRL
See Handout
Robin Naylor, Department of Economics, Warwick
214
Topic 2 Lecture 15X
L
X = X(L)
X
MC
?
X
STVC
?
CRL
CRL
CRL
L
MPPL
?
CRL
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 2 Lecture 15X
L
X = X(L)
X
MC
?
X
STVC
?
DRL
L
MPPL
?
IRL
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 2 Lecture 16
X
MC X
STVC
DRL
IRL
STVC
MC
See Handout
Robin Naylor, Department of Economics, Warwick
217
Topic 2 Lecture 16
X
MC X
STVC
DRL
IRL
STVC
MC
Define SAVC = STVC/X
How would you represent it in the diagram?
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Robin Naylor, Department of Economics, Warwick
218
Topic 2 Lecture 16
X
MC X
STVC
DRL
IRL
STVC
MC
Define SAVC = STVC/X
How would you represent it in the diagram?
At X1, which is greater, MC or SAVC?
And at X2?X1 X2
See Handout
Robin Naylor, Department of Economics, Warwick
219
Topic 2 Lecture 16
X
MC X
STVC
DRL
IRL
STVC
MC
At what point on STVC is MC=SAVC?
X1 X2
See Handout
Robin Naylor, Department of Economics, Warwick
220
Topic 2 Lecture 16
X
MC X
STVC
DRL
IRL
STVC
MC
At what point on STVC is MC=SAVC?
X1 X2 X3
To the right of X3, which is greater, MC or SAVC?
See Handout
Robin Naylor, Department of Economics, Warwick
221
Topic 2 Lecture 16
X
MC X
STVC
DRL
IRL
STVC
MC
X1 X2 X3
SAVC
See Handout
Robin Naylor, Department of Economics, Warwick
222
Topic 2 Lecture 16
MC MC SAVC SAVC
XWe now need to add the STFC to STVC to get STC (=STVC + STFC).
Then we can derive SAFC in the diagram above and hence SATC = SAVC + SAFC).
See Handout
Robin Naylor, Department of Economics, Warwick
223
Topic 2 Lecture 16
X
MC X
STVC STVC
MC
Add in STFC.
STC is just the vertical sum of STVC and STFC.
So MC can be derived from either STVC or STC: it’s the ‘marginal’ curve of both.
STFC
STVC + STFC = STCSee Handout
Robin Naylor, Department of Economics, Warwick
224
Topic 2 Lecture 16
X
MC X
STVC STVC
MC
What about SAFC?
STFC
STVC + STFC = STC
SAFC
See Handout
Robin Naylor, Department of Economics, Warwick
225
Topic 2 Lecture 16
MC MC SAVC SAVC
XSo we can now add SAFC in the diagram above and hence derive
SATC = SAVC + SAFC.
SAFC
See Handout
Robin Naylor, Department of Economics, Warwick
226
Topic 2 Lecture 16
MC MC
SAVC SAVC
XSo we can now add SAFC in the diagram above and hence derive
SATC = SAVC + SAFC.
SAFC
SATC
See Handout
Robin Naylor, Department of Economics, Warwick
227
Topic 2 Lecture 16
MC MC
SAVC SAVC
XThese are the 3 crucial short-run cost curves we’ll be using.
SATC
See Handout
Robin Naylor, Department of Economics, Warwick
228
Topic 2 Lecture 16
MC MC
SAVC SAVC
XNext, we’ll add a curve to the diagram to show the Demand Curve which the firm faces.
SATC
See Handout
Robin Naylor, Department of Economics, Warwick
229
Topic 2 Lecture 17
MC MC
SAVC SAVC
XNow we add a curve to the diagram to show the Demand Curve which the firm faces.
Where is the firm’s Marginal Revenue curve (see slide 173)?
SATC
D
See Handout
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230
Topic 2 Lecture 17
MC MC
SAVC SAVC
X
SATC
D
MRWhat is the firm’s profit-maximising output?
Robin Naylor, Department of Economics, Warwick
231
Topic 2 Lecture 17
MC MC
SAVC SAVC
X
SATC
D
MRWhat is the firm’s profit-maximising output?
What is the Price? Super-normal Profit?
Robin Naylor, Department of Economics, Warwick
232
Topic 2 Lecture 17p
MC
SAVC
X
SATC
D
MRWhat is the firm’s profit-maximising output?
What is the Price? Super-normal Profit? STC? STVC? STFC?
Robin Naylor, Department of Economics, Warwick
233
Topic 2 Lecture 17
MC MC
SAVC SAVC
XNow add a curve to the diagram to show a lower Demand Curve . . .
SATC
See Handout
Robin Naylor, Department of Economics, Warwick
234
Topic 2 Lecture 17
MC MC
SAVC SAVC
XNow add a curve to the diagram to show a lower Demand Curve . . .
SATC
Robin Naylor, Department of Economics, Warwick
235
Topic 2 Lecture 17
MC MC
SAVC SAVC
XNow add the MR Curve to determine the profit-maximising market output by the firm and its chosen price. What can you say about the extent of profits?
SATC
MR D
X*
p*
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Topic 2 Lecture 17
MC MC
SAVC SAVC
XWhat can you say about the extent of profits at X*?
What would be the extent of the loss if the firm produced nothing?
SATC
MR D
X*
p*A
See Handout
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Topic 2 Lecture 17
MC MC
SAVC SAVC
XWhat would be the extent of the loss if the firm produced nothing (X = 0)?
So where does the firm produce: X = X* or X = 0?
SATC
MR D
X*
p*AB
SATC(X*)
SAVC(X*)
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Topic 2 Lecture 17
p
MC
SAVC
XIn the previous slide, SATC(X*) > p* > SAVC(X*).
Now consider SATC(X*) > SAVC(X*) > p* .
SATC
MRD
X*
p*
SATC(X*)
SAVC(X*)
See Handout
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Topic 2 Lecture 17
p
MC
SAVC
X
What is the extent of the loss if the firm produces nothing (X = 0)?It’s given by STFC: which is represented in the diagram by . . . ?Note: STFC = SAFC x X = (SATC – SAVC)X.
SATC
MRD
X*
p*
SATC(X*)
SAVC(X*)
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Topic 2 Lecture 17
p
MC
SAVC
XSo, the loss associated with producing at X = X* now exceeds the loss associated with producing at X = 0: because p* < SAVC(X*).
This suggests the following (Shut-Down) Rule . . .
SATC
MRD
X*
p*
SATC(X*)
SAVC(X*)
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Topic 2 Lecture 17
p
MC
SAVC
XProduce at X* (where MR = MC) so long as p* ≥ SAVC(X*): otherwise produce at X = 0 (i.e., shut-down production) and make minimal losses of STFC.
SATC
MRD
X*
p*
SATC(X*)
SAVC(X*)
See Handout
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Topic 2 Lecture 17
p
LMC
XThere is no such thing as ‘LAFC’. Hence, LATC = LAVC. We call it LAC, for short.
An important matter is the relationship between the SATC curve and the LAC: see Morgan Katz and Rosen pages 345-349 and ESPECIALLY Estrin et al pages 177-180.
LAC
In the long-run, all inputs (K and L) are variable.
In the long-run, we talk about ‘returns to scale’ as both labour and capital inputs can be varied.
IRS DRS
See Handout
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Topic 2 Lecture 17
p
LMC
XEnter if p* ≥ LAC(X*).
Exit if p* < LAC(X*).
LAC*
In the long-run, we get the entry/exit rules:
D
MR
p*
See Handout
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Topic 2
• Frank, Chapters 9-10• Estrin, Laidler and Dietrich, Chapters 8 & 9.
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Topic 2Key Concepts
Normal ProfitSuper (and sub) – normal ProfitBreak Even ProfitTotal RevenueMarginal RevenueTotal CostMarginal CostFixed CostTotal Variable CostShort-run Average Variable CostShort-run Average Fixed CostShort-run Average Total Cost
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Topic 2Key Concepts
Profit MaximisationProduction IsoquantsMarginal Rate of Technical SubsttutionProduction FunctionShort-run Production FunctionMarginal Physical Product of LabourDecreasing (Increasing/Constant) Returns to Labour
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Topic 2• Seminar Questions (For Term 1 week 9 – Term 2 week 11)
– 1. Assume that demand is linear. Explain why, when demand is elastic, a fall in price will lead to an increase in total revenue. Why, when demand is inelastic does the fall in price cause TR to fall?
– 2. Show in a diagram how to represent the Total Cost Curve for the following cases:• Fixed Costs, no Variable Costs• Variable Costs, no Fixed Costs• Both Fixed and Variable Costs
– 3. Profit is maximised when TR-TC is at a maximum: show how to find the profit-maximising level of output in a diagram with TR and TC.
– 4. Show how the MR curve relates to the TR curve– 5. Show how the MC curve relates to the TC curve
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Topic 2• Seminar Questions (For Term 1 week 9 – Term 2 week 11)
– 6. Why are profits maximised when MR = MC?– 7. Suppose TR < TC when MR = MC: should the firm still produce at MR = MC?– 8. Show how the shapes of the following curves are all related to each other:
• Short-run Production Function• MPPL• SMC• STC
- 9. Show how the shapes of the following curves are related to each other:STFC, SAFC, SAVC, SATC, SMC
- 10. Explain what is meant by the short-run shut-down price
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Topic 2
• Self-study Questions
1. Explain what is meant by the following terms
Normal ProfitSuper (and sub) – normal ProfitBreak Even ProfitTotal RevenueMarginal RevenueTotal CostMarginal CostFixed CostTotal Variable CostShort-run Average Variable CostShort-run Average Fixed CostShort-run Average Total Cost
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Topic 2
• Self-study Questions
2. Explain what is meant by the following terms
Profit MaximisationProduction IsoquantsMarginal Rate of Technical SubsttutionProduction FunctionShort-run Production FunctionMarginal Physical Product of LabourDecreasing (Increasing/Constant) Returns to Labour
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Topic 3 Product Markets: Lecture 18
•The circular flow model
Agent:
Households
Market:
Goods/Services
Market:
Inputs
Agent:
Firms
Demand
Demand
Supply
Supply
(Topic 1)
(Topic 2)
(Topic 3) (Topic 4)
(Topic ‘0’ = Intro)(Topic 5 = Structure and efficiency)
See Handout
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Topic 3 : Lecture 18
Markets differ by nature/extent of competition.
So far, we have assumed (implicitly) that there is just one firm in the market, confronting the entire market demand: a monopolist.
Now consider the extreme opposite case of ‘perfect competition’ – then we’ll look at the more realistic intermediate cases.
See Handout
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Topic 3 : Lecture 18Perfect competition
All (the very many) firms are assumed identical and will set the same price (each is a price-taker) because:
a firm cannot charge more than the competitive market price (assuming homogeneous goods and perfect information)
a firm cannot charge less than the market price (free entry means that all firms will just break even at the market price)
each firm is so ‘small’ it does not affect market price. Hence:
See Handout
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Topic 3 : Lecture 18Perfect competition
Consider the individual firm i:
x
p
pc pc = d
The firm is a price-taker at the market price. Demand is perfectly elastic.
See Handout
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Topic 3 : Lecture 18Perfect competition
x
p
pc
Recall that:
.dpMR p XdX
pc = d = mr
Because the firm does not have to reduce price to sell an extra unit (because it is so ‘small’), the marginal revenue is equal to price. Hence, p = d = mr.
See Handout
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Topic 3 Lecture 18
p MC
SAVC
xWhat is the firm’s chosen output level?
SATC
pc = d = mr pc
See Handout
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Topic 3 Lecture 18
p MC
SAVC
xSuppose market price rises: now what is the firm’s chosen output? What can you say about the firm’s (short-run) supply curve?
SATC
pc = d = mr pc
See Handout
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Topic 3 Lecture 18
p MC
SAVC
xSuppose market price falls: now what is the firm’s chosen output? What can you say about the firm’s (short-run) supply curve?
SATC
pc = d = mr pc
See Handout
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Topic 3 Lecture 18
p MC = s
SAVC
xSuppose market price falls further: now what is the firm’s chosen output? What can you say about the firm’s (short-run) supply curve?
SATC
pc = d = mr pc
See Handout
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Topic 3 : Lecture 18Perfect competition
Now consider the long run and also where market price comes from:
x
pcpc = d = mr
p S
D
X
Market price is where market supply meets market demand.
Market demand is exogenous.
What determines market supply?
p
Xc
The market price determines the demand curve faced by the individual firm.
And hence also mr.
See Handout
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Topic 3 : Lecture 18Perfect competition
x
pc pc = d = mr
p S
D
X
Can you say where this market supply curve, S, comes from?
p
Xc
lmc = s lac
Here we add the firm’s cost curves (and hence its supply curve): for the long run.
The firm’s supply curve is given by . . . ?
See Handout
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Topic 3 : Lecture 18Perfect competition
x
pc pc = d = mr
p
D
X
p
Xc = nx*
lmc = s lac
Recall that we are assuming that all firms are identical. This industry is in equilibrium: why? Define and explain.
x*
1
n
i iS lmc
This is the long-run industry supply curve for a fixed number of firms, n.
See Handout
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Topic 3 : Lecture 18Perfect competition
x
pc pc = d = mr
p
D
X
p
Xc = nx*
lmc = s lac
We want to derive now the long-run industry supply curve when the number of firms is not fixed but is allowed to vary so as to yield industry equilibrium, whatever the level of demand.
x*
1
n
i iS lmc
Suppose there is an (exogenous) increase in the level of market demand.
See Handout
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Topic 3 : Lecture 18Perfect competition
x
pc pc = d = mr
p
D’
X
p
Xc = nx*
lmc = s lac
We want to derive now the long-run industry supply curve when the number of firms is not fixed but is allowed to vary so as to yield industry equilibrium, whatever the level of demand.
x*
1
n
i iS lmc
D
The initial effect is that market price will rise so that demand and supply by the n firms is equal. Each firm is producing increased output. What can you say about profits? And industry equilibrium?
See Handout
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Topic 3 : Lecture 18Perfect competition
x
pc pc = d = mr
p
D’
X
p
Xc = nx*
lmc = s lac
We want to derive now the long-run industry supply curve when the number of firms is not fixed but is allowed to vary so as to yield industry equilibrium, whatever the level of demand.
x*
1
n
i iS lmc
D
New firms will enter the industry (why?). How do we show this in the diagram?
See Handout
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Topic 3 : Lecture 18
1
n E
i iS lmc
Perfect competition
x
pc pc = d = mr
p
D’
X
p
Xc = nx*
lmc = s lac
We want to derive now the long-run industry supply curve when the number of firms is not fixed but is allowed to vary so as to yield industry equilibrium, whatever the level of demand.
x*
D
New firms enter the industry.
Where does this process take us? (What are we assuming about new firms and about industry costs?)
1
n
i iS lmc
Xc = (n+E)x*
See Handout
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Topic 3 : Lecture 18
1
n E
i iS lmc
Perfect competition
x
pc pc = d = mr
p
D’
X
p
Xc = nx*
lmc = s lac
We want to derive now the long-run industry supply curve when the number of firms is not fixed but is allowed to vary so as to yield industry equilibrium, whatever the level of demand.
x*
D
So, in the new equilibrium following the increase in demand: market output is higher; price is unchanged; each of the original firms has returned to its original actions, there are more firms.
1
n
i iS lmc
Xc = (n+E)x*
See Handout
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Topic 3 : Lecture 18
1
n E
i iS lmc
Perfect competition
x
pc pc = d = mr
p
D’
X
p
Xc = nx*
lmc = s lac
We want to derive now the long-run industry supply curve when the number of firms is not fixed but is allowed to vary so as to yield industry equilibrium, whatever the level of demand.
x*
D
What does the long-run industry supply curve look like? It is perfectly elastic. Essentially, this is because new firms can enter the market without the effect of having to raise price.
1
n
i iS lmc
Xc = (n+E)x*
LRSS
See Handout
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Topic 3 : Lecture 18Perfect competition
x
pc pc = d = mr
p
D’
X
p
Xc
lmci = s lac
xi
D
1
n
i iS lmc
What does the long-run industry supply curve look like when new firms are not equally efficient, but when – instead – new firms are less efficient than the original incumbents?
Originally, there is a marginal firm, i, which just breaks even. Then demand shifts and each of the original n firms raises output. So firm i now makes a supernormal profit. Then what happens?
See Handout
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Topic 3 : Lecture 18
1
n E
i iS lmc
Perfect competition
x
pc pc = d = mr
p
D’
X
p
Xc
lac
D
New firms enter: the number is now n+E. Could this be the new equilibrium?
1
n
i iS lmc
LRSS??
What does the long-run industry supply curve look like when new firms are not equally efficient, but when – instead – new firms are less efficient than the original incumbents?
lmci = s
xi
ab
See Handout
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Topic 3 : Lecture 18
1
n E
i iS lmc
Perfect competition
x
pc pc = d = mr
p
D’
X
p
Xc = nx*
lmci,j = s laci
x*
D
Point ‘b’ will be an equilibrium if . . . ? And so the LRSS is where?
1
n
i iS lmc
Xc = (n+E)x*
LRSS??
What does the long-run industry supply curve look like when new firms are not equally efficient, but when – instead – new firms are less efficient than the original incumbents?
ab
lacj
See Handout
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Topic 3 : Lecture 18
1
n E
i iS lmc
Perfect competition
x
pc pc = d = mr
p
D’
X
p
Xc = nx*
lmci,j = s laci
x*
D
Point ‘b’ will be an equilibrium if . . . ? And so the LRSS is where? And the intuition?
What else would make the long-run industry supply curve upward-sloping (imperfectly elastic)?
1
n
i iS lmc
Xc = (n+E)x*
LRSS??
What does the long-run industry supply curve look like when new firms are not equally efficient, but when – instead – new firms are less efficient than the original incumbents?
ab
lacj
See Handout
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Topic 3 : Lecture 19Perfect competition and Consumer Surplus
X
p
pc
D
Consumer Surplus is given by? And Producer Surplus?
S
Xc
See Handout
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Topic 3 : Lecture 19Monopoly and Consumer Surplus: Suppose a monopolist takes over the previously competitive industry.
X
p
pc
D
Consumer Surplus under Monopoly is given by? And Producer Surplus under Monopoly?
S
Xc
MCACThe Monopolist
faces the Market Demand Curve.
We assume that the Monopolist’s Cost Curves are simply the sum of those of the individual competitive firms.
See Handout
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Topic 3 : Lecture 19Monopoly and Consumer Surplus: Suppose a monopolist takes over the previously competitive industry.
X
p
pc
D
Consumer Surplus under Monopoly is given by? And Producer Surplus under Monopoly?
S
Xc
MCAC
MR
pm
Xm
See Handout
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Topic 3 Lecture 19
• Monopoly welfare loss: recap– A monopoly firm takes over. The Market Demand is now the same as
that for the individual firm: how much will it produce? Price?
DMR
LACLMCIdentify:
p, X, CS, PS under monopoly.
Compare PS and CS under Monopoly and under Perfect Competition.
p
X
S
See Handout
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Topic 3 : Lecture 19Monopoly and Consumer Surplus: An alternative representation of the Deadweight Loss of Monopoly:
X
p
pc
D
S
Xc
MCAC
MR
pm
Xm
See Handout
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Topic 3 Lecture 19
• Algebra of monopoly
Assume market demand is given by .Let the monopoly firm's costs be constant; .
The monopoly firm's profit is:( ) ( ) .
The firm's profits are maximised when 0. That is,
p a bXAC MC c
TR TC p c X a bX c X
X
2 0, or ( )/2 .
From this, one can work out the values of:Price, (super-normal) Profit, Consumer Surplus and Welfare, and compare these with the perfectly competitive levels.
a bX c X a c bX
See Handout
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Topic 3 Lecture 19
• Monopolistic competition– Like Perfect Competition, there are many firms– Unlike Perfect Competition, each faces a downward-sloping demand
curve (why?)– Industry equilibrium is when each just breaks even:
LMC LAC
D
MR
X
p
Here the industry is not in equilibrium:
Why not?
What happens next?
See Handout
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Topic 3 Lecture 19
• Monopolistic competition– Like Perfect Competition, there are many firms– Unlike Perfect Competition, each faces a downward-sloping demand
curve (why?)– Industry equilibrium is when each just breaks even:
LMC LAC
D
MRX
p
Here the industry is in equilibrium:
Why?
See Handout
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Topic 3 Lecture 19
• Oligopoly
– Few firms (in our models, we’ll typically assume 2 for simplicity)
– Interdependent (Why?)
– Various possible behaviours• Collusive• Cournot (quantity) Competition
See Handout
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Topic 3 Lecture 19
• Collusive Oligopoly
– Here the firms simply act as if they were a single monopolist– They determine profit-maximising output and each produce, say, half
of that output. The price is the monopoly price and the welfare loss, compared to perfect competition, is the monopoly welfare loss.
– Example: if p=a – bX and MC=AC=c, then each firm produces:
– It is not then difficult to work out market price, supernormal profits, Consumer Surplus, and Welfare (Loss)
1 2 / 2 ( ) / 4x x X a c b
See Handout
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Topic 3 Lecture 19
• Oligopoly with Cournot Competition
1 1
Each firm chooses its own profit-maximising output given what the other firm is producing.Consider Firm 1 (of 2):
( ) .Note that market price, , is the same for both firms and depends on market
p c xp
1 2
1 1 2 1
12 1
1
1 2
output, ,where .Substituting,
.
The first-order condition for profit maximisation by Firm 1 is:
2 0, which implies that:
( ) / 2 .This is called Fi
p a bXX x x
a b x x c x
a c bx bxx
x a c bx b
rm 1's Best-Reply Function to Firm 2's chosen output level.
We can draw it.
See Handout
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Topic 3 Lecture 19
1 1 2: ( ) / 2 .This is called Firm 1's Best-Reply Function to Firm 2's chosen output level.R x a c bx b
1R
• Oligopoly with Cournot Competition
1x
2x
See Handout
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Topic 3 Lecture 19
• Oligopoly with Cournot Competition
1 2
2 1
Firm 1's Best-Reply Function to Firm 2's chosen output is given by:( ) / 2 .
Similarly, we can represent Firm 2's Best-Reply Function to Firm 1's chosen output:( ) / 2 .
We can draw both t
x a c bx b
x a c bx b
ogether:
See Handout
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Topic 3 Lecture 19
1R
• Oligopoly with Cournot Competition
2R
1x
2x
See Handout
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Topic 3 Lecture 19
• Oligopoly with Cournot Competition
1 2
2 1
Firm 1's Best-Reply Function:( ) / 2 .
Firm 2's Best-Reply Function:( ) / 2 .
The (oligopoly/duopoly) market is in equilibrium when each firm's output is the best reply to that of the othe
x a c bx b
x a c bx b
1 1
1 1
1
r: i.e., where the best reply functionsintersect. This is where the two best reply functions are satisfied simultaneously:solving, and using symmetry, we obtain:
( ) / 2 ,2 ( )3
x a c bx bbx a c bxbx
1
( )( ) /3
a cx a c b
See Handout
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Topic 3 Lecture 19
• Oligopoly with Cournot Competition1 2
1 2
As ( ) / 3 ,it follows that:
2( ) /3
How does this compare with output under monopoly (and hencecollusive oligopoly)?How does it compare with output under perfect competition?
What can yo
x x a c b
X x x a c b
u conclude about the comparison of: Price Producer Surplus Consumer Surplus Total Welfareunder Cournot Oligopoly, Collusive Oligopoly, Monopoly and Perfect Competition?
See Handout
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Topic 3 Lecture 19
• Oligopoly with Cournot Competition
It is straightforward to show that the 2 firms do better when colluding than when competing (eg in the Cournot way).
So why don't they always collude?
1. Legality2. Prisoners' Dilemma If Firm 2 is producing the collusively-agreed output, (a-c)/3b, what will Firm 1 want to produce?
See Handout
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Topic 3
• Frank, Chapters 11-13• Estrin, Laidler and Dietrich, Chapters 11-13, 15, 16
• Online resources:• http://www.bized.ac.uk/current/index.htm• http://www.bized.ac.uk/learn/economics/index.htm
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Topic 3• Key Concepts
Perfect CompetitionPerfect Consumer InformationFree Entry and ExitHomogeneous ProductsPerfectly elastic demand for the competitive firm’s productMarket demand curve versus demand facing the individual firmCompetitive firm’s supply curve is given my its MC curve (section lying above SAVC curve in short run, LAC curve in log run)Determinants of Industry Long-run supply curve under Perfect CompetitionIndustry EquilibriumMonopolistic CompetitionMonopoly
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Topic 3• Key Concepts
Welfare loss of monopolyOligopolyDuopolyCollusive oligopolyCournot CompetitionCournot equilibriumBest-reply functionsPrisoners’ DilemmaWelfare loss of oligopoly
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Topic 3Seminar Questions
– 1. The firm in a perfectly competitive market faces a horizontal demand curve. Why?
– 2. The supply curve of a perfectly competitive firm is given by its Marginal Cost curve: explain and elaborate
– 3. What factors influence the shape of the Long-run industry supply curve in a perfectly competitive market?
– 4. What is ‘Monopoly Welfare Loss’? What determines its magnitude?– 5. What is the mechanism that drives industry equilibrium in a market with the
characteristics of monopolistic competition?– 6. In the case of linear market demand and constant marginal costs, how
does a Cournot equilibrium in a symmetric duopoly compare with a pure monopoly in terms or output, price, and Welfare?
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The question is: “What is the firm’s demand for labour?”
I.e., what determines the firm’s profit-maximising level of labour demand?
Our answer to this question is that the profit-maximising firm will employ labour up to the level at which the addition to the firm’s total revenue (from the sale of the extra units produced when the firm takes on an extra unit of labour) is just equal to the addition to the firm’s total costs incurred by employing the extra unit of labour.
I.e., the profit-maximising employment rule is:
Marginal Revenue Product of Labour = Marginal Cost of Labour.
Topic 4 Lecture 20 See Handout
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Topic 4 Lecture 20
Marginal Revenue Product of Labour = Marginal Cost of Labour.
What is the Marginal Revenue Product of Labour (MRPL)?
What is the Marginal Cost of Labour (MCL)?
If the product market is perfectly competitive, then:MRPL = ?
If the labour market is perfectly competitive, then:MCL = ?
See Handout
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Topic 4 Lecture 20
Consider the Marginal Revenue Product of Labour (MRPL)
L
MRPL
p.MPL=MRPL
What does this assume?
See Handout
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Topic 4 Lecture 20
Consider the Marginal Cost of Labour (MCL)
L
MCL
Ls = w = MCL
What does this assume?
See Handout
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Topic 4 Lecture 20
Consider MCL and MRPL together
L
MCL
Ls = w = MCL
What is the firm’s chosen level of employment? Why?
MRPL
MRPL
See Handout
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Topic 4 Lecture 20
Consider MCL and MRPL together
L
MCL
Ls = w = MCL
What happens to the firm’s chosen level of employment if the competitive wage shifts up?
MRPL
MRPL
What do you conclude about the firm’s demand for labour?
See Handout
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Topic 4 Lecture 20
L
MCL
Ls = w = MCL
MRPL
MRPL
We have assumed perfect competition in both product and labour markets.
How is the analysis different for a monopolist?
See Handout
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Topic 4 Lecture 20
L
MCL
Ls = w = MCL
MRPL
MRPL
We have assumed perfect competition in both product and labour markets.
How is the analysis different for a monopsonist?
See Handout
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Topic 4 Lecture 20
L
MCL
Ls
MRPL
MRPL
How is the analysis different for a monopsonist?
See Handout
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Topic 4 Lecture 20
L
MCL
Ls
MRPL
MRPL
How is the analysis different for a monopsonist?
MCL
See Handout
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Topic 4 Lecture 20
L
MCL
Ls
MRPL
MRPL
What happens with the introduction of a Minimum Wage (MWL) under perfectly competitive markets?
See Handout
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Topic 4 Lecture 20
L
MCL
Ls
MRPL
MRPL
What happens with the introduction of a Minimum Wage (MWL) under a monopsonist?
MCL
See Handout
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Topic 4 Lecture 20
L
MCL
Ls
MRPL
MRPL
What happens with the introduction of a Minimum Wage (MWL) under a monopsonist?
MCL
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 4 Lecture 20
L
MCL
Ls
MRPL
MRPL
What happens to the Labour Supply curve with the introduction of a Minimum Wage (MWL) under a monopsonist?
MCL
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 4 Lecture 20
L
MCL
Ls
MRPL
MRPL
What happens to the MCL curve with the introduction of a Minimum Wage (MWL) under a monopsonist?
MCL
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 4 Lecture 20
L
MCL
Ls
MRPL
MRPL
What happens to the Monopsonist’s chosen employment level with the introduction of a Minimum Wage (MWL)?
MCL
See Handout
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Topic 4
Reading
• Frank, Chapters 14-15• Estrin, Laidler and Dietrich, Chapter 18
• Online resources:• http://www.bized.ac.uk/current/index.htm• http://www.bized.ac.uk/learn/economics/index.htm
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Topic 4
• Key Concepts
• Marginal product of labour• Marginal revenue product of labour• Marginal cost of labour• Deriving the demand for labour under perfect competition• Deriving the demand for labour under monopoly• MCL under perfect competition• MCL under monopsony• Minimum Wage Legislation under perfect competition• Minimum Wage Legislation under monopsony
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Topic 4
• Self-study Questions
1. Under the assumption of perfect competition in the labour market, the firm’s MCL is given by the (horizontal) labour supply curve that the firm faces. Explain this.
2. Even in a perfectly competitive labour market, the supply curve to the market is likely to be upward sloping. Explain why.
3. Under the assumption of perfect competition in the labour market, each firm’s labour demand curve is given by it’s MRPL curve. Explain why.
4. The MRPL curve of a firm in a perfectly competitive PRODUCT market is downward-sloping because of the assumption of decreasing returns to labour. Explain.
5. For a monopolist, the MRPL curve is downward sloping for two reasons: what are these two reasons?
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Topic 4
• Seminar Questions
1. A monopsonist will employ fewer workers than would be employed in a perfectly competitive market. Show this.
2. A monopsonist will pay lower wages than would be paid in a perfectly competitive market. Show this.
3. The monopsonist has no well-defined labour demand curve. Explain this.4. The MCL curve of a monopsonist lies above its labour supply curve.
Explain why this is likely to be true. When would it not be true?5. In perfectly competitive labour markets, minimum wage legislation is
likely to cause job losses. Show this. 6. In a monopsony labour market, minimum wage legislation could
lead to the creation of jobs. Explain this.
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Topic 5 Market structure, efficiency and failure
Lecture 21
X
p
D
X1
LAC1
Suppose Firm 1 is producing X1. If there are no other firms in the market, what price can Firm 1 charge? Will it make a super-normal profit?
LAC1
Note that output at X1 is called Minimum Efficient Scale (MES). Make sure you understand this.
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 5 Lecture 21
X
p
DX1
LAC1,2
Firm 1 is producing X1.
Suppose now that Firm 2 enters the market and is identical to Firm 1 and produces the same amount, X1. What is total output?
What price can be charged?
Can each firm make a super-normal profit?
X1
2X1
LAC1,2
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 5 Lecture 21
X
p
DX1
LAC1,2
Firm 1 is producing X1.
Suppose now that Firm 2 enters the market and is identical to Firm 1 and produces the same amount, X1. What is total output?
What price can be charged?
Can each firm make a super-normal profit?
X1
2X1
LAC1,2
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 5 Lecture 21
X
p
D
3X1
LAC1
What if 3 identical firms are each producing X1?
Can they each at least break even?
X1X1 X1
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 5 Lecture 21
X
p
D
LAC1
How many (identical) firms in this market can each produce X1 and each break even?
X1
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 5 Lecture 21
X
p
D
LAC1
How many (identical) firms in this market can each produce X1 and each break even?
X1X1 X1
See Handout
Robin Naylor, Department of Economics, Warwick
320
Topic 5 Lecture 21
X
p
D
LAC1
Suppose now that there is a reduction in market demand.
How many firms (with identical costs as before), each producing X1, can at least break even?
X1D’
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 5 Lecture 21
X
p
D
LAC1
What can you conclude about what determines the number of firms that we will find in a market?
From this analysis, we see three crucial determinants . . .
X1
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 5 Lecture 21
X
p
D
LAC1
We have seen the importance of the extent of demand.
Now consider:
(i) MES
(ii) Minimum LAC
X1
LAC1’
X1 ’
LAC1
See Handout
Robin Naylor, Department of Economics, Warwick
323
Topic 5 Lecture 21
X
p
D
LAC1
What if the LAC curve shift upward, with no change in MES?
X1
LAC1
LAC1 ’
LAC1 ’
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 5 Lecture 21
X
p
D
LAC1
What if the LAC curve shift upward, with no change in MES?
X1
LAC1
LAC1 ’
LAC1 ’
5X1 6X1
See Handout
Robin Naylor, Department of Economics, Warwick
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Topic 5
Reading
• Frank, Chapter 12• See also Begg, Fischer and Dornbusch, Economics
• Online resources:• http://www.bized.ac.uk/current/index.htm• http://www.bized.ac.uk/learn/economics/index.htm
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Topic 5
• Key Concepts
1. Fixed costs2. Decreasing long-run average costs3. Minimum efficient scale (MES)4. Barriers to entry5. Determinants of market structure
Robin Naylor, Department of Economics, Warwick
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Topic 5
• Seminar Questions
1. What is meant by Minimum Efficient Scale?2. If industry Fixed Costs are high, LAC is likely to be falling for a high level
of output (in other words, MES will be high): why is this?3. If market demand is low relative to MES, few firms can survive in an
industry. Explain this.4. What are the crucial economic influences on the determinants of market
structure?5. Show diagrammatically a situation in which only one firm can survive in
an industry given the relationship between the demand curve and the LAC. (This situation is called Natural Monopoly.)
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Topic 5
• Self-study Questions
1. Under Natural Monopoly, what will be the price and quantity choice of the monopolist?
2. Supernormal profits are likely to be high under Natural Monopoly. What can you say about welfare loss under Natural Monopoly?
3. What policies are open to a government wanting to reduce welfare losses associated with Natural Monopoly?