Indifference analysis

Description
Highlights how to construct indifference curve, derive marginal rate of substitution, explains what is budget line, effect of increase in income on budget line, effect on budget line of a fall in the price of good, how to find optimum level of consumption, derives engel curve from income consumption curve.

Indifference Analysis

Indifference analysis

Indifference curves

Constructing an indifference curve
MangoesOranges 30 24 20 14 10 8 6 6 7 8 10 13 15 20 Point a b c d e f g

Combinations of Mangoes and oranges that Sameer likes the same amount as 10 Mangoes and 13 oranges

Constructing an indifference curve
30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0 0 2 4 6 8 10
MangoesOranges 30 24 20 14 10 8 6 6 7 8 10 13 15 20 Point a b c d e f g

Mangoes

12

14

16

18

20

22

Oranges

Constructing an indifference curve
30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0 0 2 4 6

a
MangoesOranges 30 24 20 14 10 8 6 6 7 8 10 13 15 20 Point a b c d e f g

Mangoes

8

10

12

14

16

18

20

22

Oranges

Constructing an indifference curve
30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0 0 2 4 6

a
MangoesOranges Point a b c d e f g

b

Mangoes

30 24 20 14 10 8 6

6 7 8 10 13 15 20

8

10

12

14

16

18

20

22

Oranges

Constructing an indifference curve
30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0 0 2 4 6

a
MangoesOranges Point a b c d e f g

b

c

Mangoes

d

30 24 20 14 10 8 6

6 7 8 10 13 15 20

e f

g

8

10

12

14

16

18

20

22

Oranges

Deriving the marginal rate of substitution (MRS)
30

a DY = 4 MRS = 4 b

26

DX = 1 Units of good Y
20

MRS = DY/DX

10

0 0
67

10

20

Units of good X

Deriving the marginal rate of substitution (MRS)
30

a DY = 4 MRS = 4 b

26

DX = 1 Units of good Y
20

MRS = DY/DX

10
9

DY = 1

c

MRS = 1 d

DX = 1

0 0
67

10

13 14

20

Units of good X

An indifference map
30

Units of good Y

20

10

I5 I2
20

I3

I4

0 0 10

I1 Units of good X

The impossibility of two indifference curves crossing
30

Units of good Y

20

a
10

b I1
0 0 10 20

Units of good X

The impossibility of two indifference curves crossing
30

Units of good Y

20

a
10

b

I2 I1

0 0 10 20

Units of good X

The impossibility of two indifference curves crossing 30 (if two curve intersect intersect imply two level of satifaction which is impossible)

Units of good Y

20

a
10

c
b I2 I1
0 0 10 20

Units of good X

Indifference analysis

Budget lines

A budget line
Units of good X
0 5 10 15

Units of good Y
30 20 10 0

Assumptions PX = Rs2 PY = Rs1 Budget = Rs30

A budget line
30

a
Units of good X Units of Point on good Y budget line
30 20 10 0

Units of good Y

20

0 5 10 15

a

10

Assumptions PX = Rs2 PY = Rs1 Budget = Rs30

0 0 5 10 15 20

Units of good X

A budget line
30

a
Units of good X Units of Point on good Y budget line
30 20 10 0

Units of good Y

20

b

0 5 10 15

a b

10

Assumptions PX = Rs2 PY = Rs1 Budget = Rs30

0 0 5 10 15 20

Units of good X

A budget line
30

a
Units of good X Units of Point on good Y budget line
30 20 10 0

Units of good Y

20

b

0 5 10 15

a b c

10

c

Assumptions PX = Rs2 PY = Rs1 Budget = Rs30

0 0 5 10 15 20

Units of good X

A budget line
30

a
Units of good X Units of Point on good Y budget line
30 20 10 0

Units of good Y

20

b

0 5 10 15

a b c d

10

c

Assumptions PX = Rs2 PY = Rs1 Budget = Rs30

0 0 5 10

d
15 20

Units of good X

Effect of an increase in income on the budget line
40

30

Units of good Y

20
Assumptions

10

PX = Rs2 PY = Rs1 Budget = Rs30

0 0 5 10 15 20

Units of good X

Effect of an increase in income on the budget line
40
Assumptions

30

Units of good Y

PX = Rs2 PY = Rs1 Budget = Rs40

20
16

n

m

10

Budget = Rs40 Budget = Rs30
0 5
7

0 10

15

20

Units of good X

Effect on the budget line of a fall in the price of good X
30
Assumptions PX = Rs2 PY = Rs1 Budget = Rs30

Units of good Y

20

10

0 0 5 10 15 20 25 30

Units of good X

Effect on the budget line of a fall in the price of good X
30
Assumptions PX = Rs2 PY = Rs1 Budget = Rs30

Units of good Y

20

10

0 0 5 10 15 20 25 30

Units of good X

Effect on the budget line of a fall in the price of good X
30
Assumptions PX = Rs1 PY = Rs1 Budget = Rs30

Units of good Y

20

10

0 0 5 10 15 20 25 30

Units of good X

Effect on the budget line of a fall in the price of good X
30

a
Assumptions PX = Rs1 PY = Rs1 Budget = Rs30

Units of good Y

20

10

B1
0 0 5 10

B2
b c
20 25 30

15

Units of good X

Indifference analysis

The optimal level of consumption

Finding the optimum consumption

Units of good Y O Units of good X

Finding the optimum consumption

Units of good Y

I5 I2 I3 I4

I1 O Units of good X

Finding the optimum consumption

Units of good Y

Budget line

I5 I2 I3 I4

I1 O Units of good X

Finding the optimum consumption

r s Units of good Y

Y1

t

u v I1 O X1 Units of good X I2 I3

I5 I4

Indifference analysis

Effects of a change in income

Effect on consumption of a change in income

Units of good Y

a

B1 O Units of good X

I1

Effect on consumption of a change in income

Units of good Y

B1 O

B2

I1

I2

Units of good X

Effect on consumption of a change in income

Units of good Y

I4 I3 B1 O Units of good X B2 B3 B4 I1 I2

Effect on consumption of a change in income

Units of good Y

Income-consumption curve

I4 I3 B1 O Units of good X B2 B3 B4 I1 I2

Deriving an Engel curve from an income-consumption curve

Bread

I3 B1

B2

I1

I2 B3

CDs

Deriving an Engel curve from an income-consumption curve

Bread

Income-consumption curve I3 B1

B2

I1

I2 B3

CDs

Deriving an Engel curve from an income-consumption curve

Bread

Income-consumption curve I3 B1

B2

I1

I2 B3

CDs Income (Rs)

Deriving an Engel curve from an income-consumption curve

Bread

Income-consumption curve Qb1

a
I3 B1 Qcd1

B2

I1

I2 B3

CDs

Income (Rs)

Deriving an Engel curve from an income-consumption curve

Bread

Income-consumption curve Qb1

a
I3 B1 Qcd1

B2

I1

I2 B3

CDs

Income (Rs)

Y1

a

Qcd1

Deriving an Engel curve from an income-consumption curve

Bread

Qb2 Qb1

a

b

Income-consumption curve I3 B1

B2

I1

I2 B3

Qcd1Qcd2

CDs

Income (Rs)

Y2 Y1

b a

Qcd1Qcd2

Deriving an Engel curve from an income-consumption curve

Bread

Qb3 Qb2 Qb1

a

b

Income-consumption c curve I3 B1

B2

I1

I2 B3

Qcd1Qcd2 Qcd3

CDs

Income (Rs)

Y3 Y2 Y1

c b a

Qcd1Qcd2Qcd3

Deriving an Engel curve from an income-consumption curve

Bread

Qb3 Qb2 Qb1

a

b

Income-consumption c curve I3 B1

B2

I1

I2 B3

Qcd1Qcd2 Qcd3

CDs
Engel curve

Income (Rs)

Y3 Y2 Y1

c b a

Qcd1Qcd2Qcd3

Effect of a rise in income on the demand for an inferior good

Units of good Y (normal good)

a B O
1

I1

Units of good X (inferior good)

Effect of a rise in income on the demand for an inferior good

Units of good Y (normal good)

b

I2

a B O
1

I1

B
2

Units of good X (inferior good)

Effect of a rise in income on the demand for an inferior good

Income-consumption curve Units of good Y (normal good) b

I2

a B O
1

I1

B
2

Units of good X (inferior good)

Indifference analysis

Effects of a change in price

Effect of a fall in the price of good X
30
Assumptions PX = Rs2 PY = Rs1 Budget = Rs30

Units of good Y

20

10

0 0 5 10 15 20 25 30

Units of good X

Effect of a fall in the price of good X
30
Assumptions PX = Rs2 PY = Rs1 Budget = Rs30

Units of good Y

20

j

10

0 0 5 10

B1
15 20 25

I1
30

Units of good X

Effect of a fall in the price of good X
30
Assumptions PX = Rs1 PY = Rs1 Budget = Rs30

Units of good Y

20

j

10

0 0 5 10

B1
15 20 25

I1
30

Units of good X

Effect of a fall in the price of good X
30

a
Assumptions PX = Rs1 PY = Rs1 Budget = Rs30

Units of good Y

20

j k
10

I2
B1
0 5 10 15 20 25

0

I1

B2
30

Units of good X

30

aEffect of a fall in the price of good X

Units of good Y

20

j k
10

I
2

0 0 5 10

B1 Units of good X
15 20 25

I1

B2
30

Deriving a demand curve from a price-consumption curve

Expenditure on all other goods

a

B1

I1

Units of good X

Deriving a demand curve from a price-consumption curve
Fall in the price of X a b

Expenditure on all other goods

B1

B2

I1

I2

Units of good X

Deriving a demand curve from a price-consumption curve
Further falls in the price of X a b

Expenditure on all other goods

B1

B2

I1

I2

Units of good X

Deriving a demand curve from a price-consumption curve
Further falls in the price of X a b c d

Expenditure on all other goods

B1

B2

B3

I2 I1 B4

I3

I4

Units of good X

Deriving a demand curve from a price-consumption curve

Expenditure on all other goods

a

b

c

d

Price-consumption curve
I4

B1

B2

B3

I2 I1 B4

I3

Units of good X

Deriving a demand curve from a price-consumption curve

Expenditure on all other goods

a

b

c

d

Price-consumption curve
I4

B1

B2

B3

I2 I1 B4

I3

Units of good X Price of good X P1 a

Q1

Units of good X

Deriving a demand curve from a price-consumption curve

Expenditure on all other goods

a

b

c

d

Price-consumption curve
I4

B1

B2

B3

I2 I1 B4

I3

Units of good X Price of good X P1 a

P2 P3 P4

b c d Demand Q1 Q2 Q3 Q4 Units of good X



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