CHAPTER 4: THE RATONAL
CONSUMER
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THE THEORY OF CONSUMER
BEHAVIOUR
I. CONSUMER SURPLUS
II. CONSUMER CHOICE
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Consumer surplus
Price
$399
An
Potentia
l buyers
Bình
349
Chi
300
Dương
250
D
0
1
2
3
4
5
An
Binh
$399
Chi
Dương
300
Đạt
100
349
250
A consumer’s willingness to
pay for a good is the
maximum price at which he
or she would buy that good.
Đạt
100
Willingne
ss to pay
Quantity
Graphically, the TWTP is the
area below the demand curve.
Price
A’s net gain:
$399 − $270 = $129
$399
A
B’s net gain:
$349 − $270 = $79
349
B
C’s net gain: $300 −
$270 = $30
C
300
270
Price = $270
250
D
100
Those individual net
gains are known as
individual consumer
surpluses.
Đ
D
0
1
2
3
4
5
Quantity
Consumer Surplus
Individual Consumer surplus is the net gain to a
buyer from the purchase of a good.
It is equal to the difference between the buyer’s
willingness-to-pay and the expense.
Total consumer surplus is the sum of the individual
consumer surpluses of all the buyers of a good.
CS = TWTP - TE
Consumer Surplus
Price of
iPad
The total willingness-to-pay is
equal to the area below the
demand curve.
TWTP
$500
D
0
1 million
Quantity of iPads
Consumer Surplus
Price of
iPad
The
total
consumer
surplus
generated by purchases of a good
at a given price is equal to the area
below the demand curve but above
that price.
Consum
er
surplus
$500
Price = $500
TE
0
D
1 million
Quantity of iPads
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CONSUMER CHOICE
1. INDIFFERENCE CURVE
2. BUDGET CONSTRAINT
3. OPTIMAL CHOICE
4. INCOME EFFECT AND
SUBSTITUTION EFFECT
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1. INDIFERENCE CURVE
The utility of a consumer is a measure of the
satisfaction
the
consumer
derives
from
the
consumption of goods and services
A utility function gives the total utility generated by a
consumption bundle.
The unit of utility is a util.
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KEY DEFINITIONS
Marginal utility is the change in total utility resulting
from the consumption of an extra unit.
If the total utility function is continuous:
MU = TU’(Q)
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CALCULATING MARGINAL
UTILITY
Q
TU
MU
0
0
-
1
10
10
2
18
8
3
24
6
4
28
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CALCULATING MARGINAL
UTILITY
Eg1: TU = 20Q – Q2
⇒MU = TU’ = 20 – 2Q
Eg2: TU = XY
⇒MUX = TU’ (X) = Y
MUY = TU’ (Y) = X
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THE LAW OF DIMINISHING
MARGINAL UTILITY
A psychological observation
As a consumer consumes more and more units
MU
of a specific commodity in a certain period of
time, utility from the successive units goes on
diminishing.
10
8
6
4
MU
0
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2
3
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Q
BASIC ASSUMPTIONS
1. Complete preferences
2. Transitivity
3. Non-satiation (prefer more to less)
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INDIFFERENCE CURVE
Indifference
curves
capture
all
combinations of commodities that yield
the same level of utility.
Suppose that a person consumes two
goods, i.e. X and Y.
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INDIFFERENCE CURVE
Properties of Indifference curves
The farther from the origin an IC
Y
is, the higher utility it displays.
Y1
U1
0
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X1
X2
U2
X
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INDIFFERENCE CURVE
ICs never cross each
other
Y
A
U1
U2
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X
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INDIFFERENCE CURVE
When an individual consumes more
units of good X, he/she can reduce the
amount of good Y while enjoy the
same level of utility.
ICs slope downward.
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INDIFFERNCE CURVE
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Marginal
rate of substition of good X for good Y,
denoted as MRSXY, reflects the amount of good Y the
consumer has to give up to consume an extra unit of
good X holding the same level of utility.
Y
Y1
A
ΔY
B
Y2
ΔX
0
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X1
X2
IC
X
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INDIFFERENCE CURVE
Moving from A to B:
Changes in the amounts of X and Y is ΔX and ΔY
Y
Change in total utility
= Marginal utility × Change in quantity.
Y1
A
ΔY
B
Y2
ΔX
0
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X1
X2
IC
X
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INDIFFERENCE CURVE
ΔTUX = MUX * ΔX
Y
ΔTUY = MUY * ΔY
ΔTU = ΔTUX + ΔTUY = 0
MUX * ΔX+ MUY * ΔY=0(1)
Y1
A
ΔY
B
Y2
ΔX
0
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X1
X2
IC
X
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INDIFFERENCE CURVE
From equation (1), we have
IC’s slope =
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INDIFFERENCE CURVE
Marginal rate of substitution of good X for good Y
decreases as the consumer consumes more of good X
⇒|ΔY/ΔX| negatively covariates with X
⇒ΔY/ΔX positively covariates with X
⇒ Y’(X) positively covariates with X
⇒ Y’’ >0
⇒ICs bow inward.
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TWO EXTREME CASES
PERFECTLY COMPLEMENTS
PERFECTLY SUBSTITUTES
Y
0
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X
0
X
BUDGET LINE
A budget constraint requires that the
cost of a consumer’s consumption bundle
be no more than the consumer’s total
income.
Suppose we have a consumer with
income I to spend on two commodities X
and Y with price PX, PY correspondingly.
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