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INDIFFERENCE
CURVE ANALYSIS
DR. LAXMI NARAYAN YADAV
ASSISTANT PROFESSOR OF ECONOMICS
GOVT. COLLEGE MAHENDERGARH, HARYANA
ASSUMPTIONS OF IC ANALYSIS
Rational Consumer
Ordinal Utility
Non-Satiety (More is Preferred to Less)
Diminishing Marginal Rate of Substitution.
Consistency: If a consumer prefer A to B in one
period then he will not prefer B to A in another period.
Transitivity: If a consumer prefer A to B and B to C,
then he must prefer A to C.
DEFINITION: IC
An Indifference curve (IC) is the locus of all those
combination of two goods which give the same
level of satisfaction to the consumer.
Thus consumer is indifferent towards all the
combinations lying on the same indifference
curve. In other words, consumer gives equal
preference to all such combinations.
INDIFFERENCE CURVES
A(1, 22)
B(2,14)
C(3, 10)
D(4,8)
E(5,7)
1 2 3 4 5 6
Apples
INDIFFERENCE SCHEDULE
(Table Showing Different
Combinations giving Equal
Satisfaction)
12
10
8
6
4
2
0
24
22
20
18
16
14
Oranges
Combination Apples Oranges
A 1 22
B 2 14
C 3 10
D 4 8
E 5 7
INDIFFERENCE CURVES
INDIFFERENCE SCHEDULE
Combination Apples Oranges
A 1 22
B 2 14
C 3 10
D 4 8
E 5 7
12
10
8
6
4
2
0
1 2 3 4 5
A(1, 22)
B(2,14)
C(3, 10)
24
22
20
18
16
14
D(4,8)E(5,7)
Apples
Oranges
IC1
MARGINAL RATE OF
SUBSTITUTION (MRS)
The marginal rate of substitution of X for Y (MRSxy)
is defined as the amount of Y, the consumer is just
willing to give up to get one more unit of X and
maintain the same level of satisfaction.
MRSxy
=
Decrease in the Consumption of Y
Increase in the Consumption of X
= (-) ∆Y
∆X
DIMINISHING MARGINAL
RATE OF SUBSTITUTION
Combination Apples Oranges MRS
A 1 22 ---
B 2 14 8:1
C 3 10 4:1
D 4 8 2:1
E 5 7 1:1
As the consumer increases the consumption of
apples, then for getting every additional unit of
apples, he will give up less and less of oranges, that
is, 8:1, 4:1, 2:1, 1:1 respectively This is the Law of
Diminishing MRS.
LAW OF DIMINISHING MRS
MRS is measured
by the slope of
the indifference
curve
MRS = -∆O/∆A = 8:1
12
10
8
6
4
2
0
1 2 3 4 5
A
B
C
24
22
20
18
16
14
D
E
Apples
Oranges
IC1
MRS = 2:1
MRS = 4:1
PROPERTIES OF IC
1. An Indifference curve has negative slope i.e. it
slope downwards from left to right.
2. Indifference curve is always convex to the
origin. This implies that two goods are
imperfect substitutes and MRS between
two goods decreases as a consumer move
along an indifference curve. IC will be straight
line if MRS is constant and L shaped in case
of Complimentary.
PROPERTIES OF IC
3. Two Indifference curves never intersect or
become tangent to each other.
This will violet the rule of
Transitivity because: on
IC1 A is equally preferred
to B and on IC2 A is
equally preferred to C.
This implies B is equally
preferred to C, which can
not be because more is
always preferred to less.
PROPERTIES OF IC
4. Higher indifference curve represents higher
satisfaction.
This is because the
combinations lying on
higher indifference
curve contain more of
either one or both
goods and more is
always preferred to
less.
More is preferred to Less
Indifference map
PROPERTIES OF IC
5. Indifference curve touches
neither X-axis nor Y-axis
(By Definition)
6. Indifference curve
need not to be
parallel to each other
(because of Different
MRS on different
ICs)
1 2 3 4 5
Apples
12
10
8
6
4
2
0
Oranges IC1
A(0, 10)
X
BUDGET CONSTRAINTS
(What is Attainable)
Budget line or Price Line: Shows all
possible combinations of two goods that the
consumer can buy if he spends the whole of
his given sum of money on his purchases at
the given prices.
Budget constraints limit an individual’s
ability to consume in light of the prices they
must pay for various goods and services.
BUDGET LINE
Com
binat
ion
Apples
(@ Rs. 6
per unit)
Oranges
@ Rs. 2
Per unit
Total
budget
(Rs.)=6xA
+2xO
A 0 12 24
B 1 9 24
C 2 6 24
D 3 3 24
E 4 0 24 Budget line corresponding
to budget of Rs. 24
Unattainable
Attainable
BUDGET LINE
14
12
10
8
6
4
2
0
1 2 3 4 5
Apples
Oranges
A
B
C
D
E
P
P
(-)
1
3
(-)/OSlope
oranges
apples
==∆∆= Applesranges
The slope is the negative of
the ratio of the prices of the
two goods.The slope indicates
the rate at which the two
goods can be substituted
without changing the amount
of money spent.
-3
+1
CONSUMER EQUILIBRIUM
Consumers choose a combination of goods
that will maximize the satisfaction they can
achieve, given the limited budget available to
them.
The maximising combination must satisfy two
conditions:
 It must be located on the budget line.
 Must give the consumer the most preferred
combination of goods and services.
CONDITIONS OF
CONSUMER EQUILIBRIUM
Condition-1:
Budget Line should be Tangent to the
Indifference Curve.
CONDITIONS OF
CONSUMER EQUILIBRIUM
12
10
8
6
4
2
0
1 2 3 4 5
16
14
Apples
Oranges
IC1
E
Budget Line
Combination E can not be
attained due to budget
constraints
A
B
12
10
8
6
4
2
0
1 2 3 4 5Apples
Oranges
Budget Line
IC1
B
Point B does not maximize
satisfaction because there exist a
point C which is attainable and
yields a higher satisfaction.
C
CONDITIONS OF
CONSUMER EQUILIBRIUM
CONDITIONS OF CONSUMER
EQUILIBRIUM
Oranges
Apples
12
10
8
6
4
2
0
1 2 3 4 5 6
(Attainable)
(Unattainable)
Equilibrium occurs (Point C) when the
consumer selects the Combination which
reaches the highest attainable
Indifference curve.
IC1
IC2
IC3
IC4
C
A
B
At Equilibrium (Point C) we
would have slope of Indifference
Curve (MRSxy) equal to
the slope of Budget Line
(Px/Py)
CONDITIONS OF
CONSUMER EQUILIBRIUM
Condition-2: Indifference Curve must be
convex to the origin.
12
10
8
6
4
2
0
1 2 3 4 5
16
14
Apples
Oranges
IC1
E
Budget Line
Combination E can not be
equilibrium point because
MRS will be increasing at E
whereas it should be
diminishing at the
equilibrium point.
A
B
EFFECT OF CHANGE IN
THE BUDGET/INCOME
If budget (Income) of the
consumer reduces to Rs. 12,
then budget line will shift
inward to L3
If budget (Income) of the consumer
increases to Rs. 36, then budget line
will shift outward to L2
12
10
8
6
4
2
0
1 2 3 4 5 6
18
16
14
Apples
Oranges
L2
I=36
(I=24)
(I=12)
L3
L1
UNDERSTANDING INCOME EFFECT
12
10
8
6
4
2
0
1 2 3 4 5 6
18
16
14
Apples
Oranges
L2
L3
L1
C
A
B
INCOME CONSUMPTION CURVE (ICC)
Curve Showing points of equilibrium at
various levels of
consumer income given
constant product price.
INCOME EFFECT: Effect on the
consumer equilibrium caused by
change in his income if relative prices
remain constant.
NEGATIVE INCOME EFFECT
NEGATIVE ICC: in case of
inferior goods ICC is negative
showing decrease in the
quantity demanded of a good
with the increase in consumer
income.
12
10
8
6
4
2
0
1 2 3 4 5 6
18
16
14
Apples
Oranges
L2
L3
L1
A
B
ICC for Inferior Goods
SUBSTITUTION EFFECT
Substitution Effect refers to change in the
amount of goods purchased due to change in their
relative prices alone, while real income of the
consumer remains constant.
The substitution of relatively cheaper good for
a relatively expensive good is called
substitution effect. There are two methods to
measure substitution effect (i) Slustky’s Measure
and (ii) Hicks Measure.
SLUSTKY MEASURE
According to Slustky Measure: Real income is
constant if the consumer is left with an income
which would enable him to buy his original
combination of goods at the new price.
SLUSTKY MEASURE
Apples
Oranges
A
B
C
D
EF
N
P
M Q
G
H
Substitution Effect
I2I1
I3
O
HICKS MEASURE
According to Hicks
Constant real income
means that consumer will
remain on same
indifference curve as
before the change in price
Apples
Oranges
A
B
C
D
EF
N
P
M Q
G
H
Substitution Effect
I2I1
O
EFFECT OF CHANGE IN
PRICE OF A GOOD
If price of Apples decreases
from Rs. 6 per unit to Rs. 4 per
unit, then for a budget of Rs.
24, price line will shift outward
to L2
If price of Apples increases from Rs. 6
per unit to Rs. 12 per unit, then for a
budget of Rs. 24, price line will shift
inward to L3
12
10
8
6
4
2
0
1 2 3 4 5 6
16
14
Apples
Oranges
L2
(Pa = 4)
(Pa=6)(Pa=12)
L3
L1
UNDERSTANDING PRICE EFFECT
BA
C
PRICE EFFECT: The price effect may be defined
as the change in the consumption of goods
when the price of either of the two goods
changes while the price of the other good and
the income of the consumer remain constant.
PRICE CONSUMPTION CURVE (PCC)
DECOMPOSITION
OF PRICE EFFECT
• Price Effect has two components:
– the substitution effect; and
– the income effect.
There are two main methods of decomposition of
the price effect into the income and substitution
effect :
(i) The Hicksian method; and
(ii) The Slutsky method
THE SLUSTKY’s APPROACH
 Price Effect: Movement from D to E = MP
 Substitution Effect: Movement from D to F = MN
 Income Effect: Movement from F to E = NP
Apples
Oranges
A
B
C
D
EF
M N
G
H
I2I1 I3
PO
Price Effect (MP) =
Substitution Effect (MN)
+Income Effect (NP)
THE HICKESIAN APPROACH
 Price Effect: Movement from D to E = MP
 Substitution Effect: Movement from D to F = MN
 Income Effect: Movement from F to E = NP
Price Effect (MP) =
Substitution Effect (MN)
+ Income Effect (NP)
Apples
Oranges
A
B
C
D E
F
N PM
G
H
I2I1
O
PRICE EFFECT AND
NATURE OF GOODS
-ve+ve (weak)-ve (strong)Giffen's Goods
+ve+ve (strong)-ve (weak)Inferior goods
+ve+ve+veNormal Goods
Price
Effect
Substitution
Effect
Income
Effect
Nature of Goods
DERIVATION OF DEMAND
CURVE FROM PCC
SUMMING UP
Indifference curve analysis is an improved
technique of Analysing consumer’s behaviour.
Beside explaining consumer equilibrium and
consumer surpluse, indifference curves are useful
in the field of Production, Distribution, Exchange,
Public Finance and International Trade. But it has
a number of questionable assumptions.
Accordingly, Samuelson has forwarded the
Hypothesis of Revealed Preference to explain
consumer behaviour.
Indifrrence curve analysis

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Indifrrence curve analysis

  • 1. INDIFFERENCE CURVE ANALYSIS DR. LAXMI NARAYAN YADAV ASSISTANT PROFESSOR OF ECONOMICS GOVT. COLLEGE MAHENDERGARH, HARYANA
  • 2. ASSUMPTIONS OF IC ANALYSIS Rational Consumer Ordinal Utility Non-Satiety (More is Preferred to Less) Diminishing Marginal Rate of Substitution. Consistency: If a consumer prefer A to B in one period then he will not prefer B to A in another period. Transitivity: If a consumer prefer A to B and B to C, then he must prefer A to C.
  • 3. DEFINITION: IC An Indifference curve (IC) is the locus of all those combination of two goods which give the same level of satisfaction to the consumer. Thus consumer is indifferent towards all the combinations lying on the same indifference curve. In other words, consumer gives equal preference to all such combinations.
  • 4. INDIFFERENCE CURVES A(1, 22) B(2,14) C(3, 10) D(4,8) E(5,7) 1 2 3 4 5 6 Apples INDIFFERENCE SCHEDULE (Table Showing Different Combinations giving Equal Satisfaction) 12 10 8 6 4 2 0 24 22 20 18 16 14 Oranges Combination Apples Oranges A 1 22 B 2 14 C 3 10 D 4 8 E 5 7
  • 5. INDIFFERENCE CURVES INDIFFERENCE SCHEDULE Combination Apples Oranges A 1 22 B 2 14 C 3 10 D 4 8 E 5 7 12 10 8 6 4 2 0 1 2 3 4 5 A(1, 22) B(2,14) C(3, 10) 24 22 20 18 16 14 D(4,8)E(5,7) Apples Oranges IC1
  • 6. MARGINAL RATE OF SUBSTITUTION (MRS) The marginal rate of substitution of X for Y (MRSxy) is defined as the amount of Y, the consumer is just willing to give up to get one more unit of X and maintain the same level of satisfaction. MRSxy = Decrease in the Consumption of Y Increase in the Consumption of X = (-) ∆Y ∆X
  • 7. DIMINISHING MARGINAL RATE OF SUBSTITUTION Combination Apples Oranges MRS A 1 22 --- B 2 14 8:1 C 3 10 4:1 D 4 8 2:1 E 5 7 1:1 As the consumer increases the consumption of apples, then for getting every additional unit of apples, he will give up less and less of oranges, that is, 8:1, 4:1, 2:1, 1:1 respectively This is the Law of Diminishing MRS.
  • 8. LAW OF DIMINISHING MRS MRS is measured by the slope of the indifference curve MRS = -∆O/∆A = 8:1 12 10 8 6 4 2 0 1 2 3 4 5 A B C 24 22 20 18 16 14 D E Apples Oranges IC1 MRS = 2:1 MRS = 4:1
  • 9. PROPERTIES OF IC 1. An Indifference curve has negative slope i.e. it slope downwards from left to right. 2. Indifference curve is always convex to the origin. This implies that two goods are imperfect substitutes and MRS between two goods decreases as a consumer move along an indifference curve. IC will be straight line if MRS is constant and L shaped in case of Complimentary.
  • 10. PROPERTIES OF IC 3. Two Indifference curves never intersect or become tangent to each other. This will violet the rule of Transitivity because: on IC1 A is equally preferred to B and on IC2 A is equally preferred to C. This implies B is equally preferred to C, which can not be because more is always preferred to less.
  • 11. PROPERTIES OF IC 4. Higher indifference curve represents higher satisfaction. This is because the combinations lying on higher indifference curve contain more of either one or both goods and more is always preferred to less. More is preferred to Less Indifference map
  • 12. PROPERTIES OF IC 5. Indifference curve touches neither X-axis nor Y-axis (By Definition) 6. Indifference curve need not to be parallel to each other (because of Different MRS on different ICs) 1 2 3 4 5 Apples 12 10 8 6 4 2 0 Oranges IC1 A(0, 10) X
  • 13. BUDGET CONSTRAINTS (What is Attainable) Budget line or Price Line: Shows all possible combinations of two goods that the consumer can buy if he spends the whole of his given sum of money on his purchases at the given prices. Budget constraints limit an individual’s ability to consume in light of the prices they must pay for various goods and services.
  • 14. BUDGET LINE Com binat ion Apples (@ Rs. 6 per unit) Oranges @ Rs. 2 Per unit Total budget (Rs.)=6xA +2xO A 0 12 24 B 1 9 24 C 2 6 24 D 3 3 24 E 4 0 24 Budget line corresponding to budget of Rs. 24 Unattainable Attainable
  • 15. BUDGET LINE 14 12 10 8 6 4 2 0 1 2 3 4 5 Apples Oranges A B C D E P P (-) 1 3 (-)/OSlope oranges apples ==∆∆= Applesranges The slope is the negative of the ratio of the prices of the two goods.The slope indicates the rate at which the two goods can be substituted without changing the amount of money spent. -3 +1
  • 16. CONSUMER EQUILIBRIUM Consumers choose a combination of goods that will maximize the satisfaction they can achieve, given the limited budget available to them. The maximising combination must satisfy two conditions:  It must be located on the budget line.  Must give the consumer the most preferred combination of goods and services.
  • 17. CONDITIONS OF CONSUMER EQUILIBRIUM Condition-1: Budget Line should be Tangent to the Indifference Curve.
  • 18. CONDITIONS OF CONSUMER EQUILIBRIUM 12 10 8 6 4 2 0 1 2 3 4 5 16 14 Apples Oranges IC1 E Budget Line Combination E can not be attained due to budget constraints A B
  • 19. 12 10 8 6 4 2 0 1 2 3 4 5Apples Oranges Budget Line IC1 B Point B does not maximize satisfaction because there exist a point C which is attainable and yields a higher satisfaction. C CONDITIONS OF CONSUMER EQUILIBRIUM
  • 20. CONDITIONS OF CONSUMER EQUILIBRIUM Oranges Apples 12 10 8 6 4 2 0 1 2 3 4 5 6 (Attainable) (Unattainable) Equilibrium occurs (Point C) when the consumer selects the Combination which reaches the highest attainable Indifference curve. IC1 IC2 IC3 IC4 C A B At Equilibrium (Point C) we would have slope of Indifference Curve (MRSxy) equal to the slope of Budget Line (Px/Py)
  • 21. CONDITIONS OF CONSUMER EQUILIBRIUM Condition-2: Indifference Curve must be convex to the origin. 12 10 8 6 4 2 0 1 2 3 4 5 16 14 Apples Oranges IC1 E Budget Line Combination E can not be equilibrium point because MRS will be increasing at E whereas it should be diminishing at the equilibrium point. A B
  • 22. EFFECT OF CHANGE IN THE BUDGET/INCOME If budget (Income) of the consumer reduces to Rs. 12, then budget line will shift inward to L3 If budget (Income) of the consumer increases to Rs. 36, then budget line will shift outward to L2 12 10 8 6 4 2 0 1 2 3 4 5 6 18 16 14 Apples Oranges L2 I=36 (I=24) (I=12) L3 L1
  • 23. UNDERSTANDING INCOME EFFECT 12 10 8 6 4 2 0 1 2 3 4 5 6 18 16 14 Apples Oranges L2 L3 L1 C A B INCOME CONSUMPTION CURVE (ICC) Curve Showing points of equilibrium at various levels of consumer income given constant product price. INCOME EFFECT: Effect on the consumer equilibrium caused by change in his income if relative prices remain constant.
  • 24. NEGATIVE INCOME EFFECT NEGATIVE ICC: in case of inferior goods ICC is negative showing decrease in the quantity demanded of a good with the increase in consumer income. 12 10 8 6 4 2 0 1 2 3 4 5 6 18 16 14 Apples Oranges L2 L3 L1 A B ICC for Inferior Goods
  • 25. SUBSTITUTION EFFECT Substitution Effect refers to change in the amount of goods purchased due to change in their relative prices alone, while real income of the consumer remains constant. The substitution of relatively cheaper good for a relatively expensive good is called substitution effect. There are two methods to measure substitution effect (i) Slustky’s Measure and (ii) Hicks Measure.
  • 26. SLUSTKY MEASURE According to Slustky Measure: Real income is constant if the consumer is left with an income which would enable him to buy his original combination of goods at the new price.
  • 28. HICKS MEASURE According to Hicks Constant real income means that consumer will remain on same indifference curve as before the change in price Apples Oranges A B C D EF N P M Q G H Substitution Effect I2I1 O
  • 29. EFFECT OF CHANGE IN PRICE OF A GOOD If price of Apples decreases from Rs. 6 per unit to Rs. 4 per unit, then for a budget of Rs. 24, price line will shift outward to L2 If price of Apples increases from Rs. 6 per unit to Rs. 12 per unit, then for a budget of Rs. 24, price line will shift inward to L3 12 10 8 6 4 2 0 1 2 3 4 5 6 16 14 Apples Oranges L2 (Pa = 4) (Pa=6)(Pa=12) L3 L1
  • 30. UNDERSTANDING PRICE EFFECT BA C PRICE EFFECT: The price effect may be defined as the change in the consumption of goods when the price of either of the two goods changes while the price of the other good and the income of the consumer remain constant. PRICE CONSUMPTION CURVE (PCC)
  • 31. DECOMPOSITION OF PRICE EFFECT • Price Effect has two components: – the substitution effect; and – the income effect. There are two main methods of decomposition of the price effect into the income and substitution effect : (i) The Hicksian method; and (ii) The Slutsky method
  • 32. THE SLUSTKY’s APPROACH  Price Effect: Movement from D to E = MP  Substitution Effect: Movement from D to F = MN  Income Effect: Movement from F to E = NP Apples Oranges A B C D EF M N G H I2I1 I3 PO Price Effect (MP) = Substitution Effect (MN) +Income Effect (NP)
  • 33. THE HICKESIAN APPROACH  Price Effect: Movement from D to E = MP  Substitution Effect: Movement from D to F = MN  Income Effect: Movement from F to E = NP Price Effect (MP) = Substitution Effect (MN) + Income Effect (NP) Apples Oranges A B C D E F N PM G H I2I1 O
  • 34. PRICE EFFECT AND NATURE OF GOODS -ve+ve (weak)-ve (strong)Giffen's Goods +ve+ve (strong)-ve (weak)Inferior goods +ve+ve+veNormal Goods Price Effect Substitution Effect Income Effect Nature of Goods
  • 36. SUMMING UP Indifference curve analysis is an improved technique of Analysing consumer’s behaviour. Beside explaining consumer equilibrium and consumer surpluse, indifference curves are useful in the field of Production, Distribution, Exchange, Public Finance and International Trade. But it has a number of questionable assumptions. Accordingly, Samuelson has forwarded the Hypothesis of Revealed Preference to explain consumer behaviour.