Indifference Analysis

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Indifference Analysis

Indifference analysis

Indifference curves

Constructing an indifference curve Pears Oranges 30 24 20 14 10 8 6

6 7 8 10 13 15 20

Point a b c d e f g

Combinations of pears and oranges that Clive likes the same amount as 10 pears and 13 oranges

Constructing an indifference curve

Pears

30 28 26

Pears Oranges 30 24 20 14 10 8 6

24 22 20 18 16 14 12 10 8 6

Point a b c d e f g

6 7 8 10 13 15 20

4 2 0 0

2

4

6

8

10

12

Oranges

14

16

18

20

22

Constructing an indifference curve

Pears

30 28 26

a Pears Oranges 30 24 20 14 10 8 6

24 22 20 18 16 14 12 10 8 6

Point a b c d e f g

6 7 8 10 13 15 20

4 2 0 0

2

4

6

8

10

12

Oranges

14

16

18

20

22

Constructing an indifference curve

Pears

30 28 26

a Pears Oranges

b

24 22 20 18 16 14 12 10 8 6

30 24 20 14 10 8 6

Point a b c d e f g

6 7 8 10 13 15 20

4 2 0 0

2

4

6

8

10

12

Oranges

14

16

18

20

22

Constructing an indifference curve

Pears

30 28 26

a Pears Oranges

b

24 22 20 18 16 14 12 10 8 6

30 24 20 14 10 8 6

c

d

e

Point a b c d e f g

6 7 8 10 13 15 20

f g

4 2 0 0

2

4

6

8

10

12

Oranges

14

16

18

20

22

Deriving the marginal rate of substitution (MRS) 30

a MRS = 4 b

∆Y = 4 26

Units of good Y

∆X = 1

MRS = ∆Y/∆X

20

10

0 0

67

10

Units of good X

20

Deriving the marginal rate of substitution (MRS) 30

a MRS = 4 b

∆Y = 4 26

Units of good Y

∆X = 1

MRS = ∆Y/∆X

20

10 9

∆Y = 1

c

MRS = 1 d

∆X = 1

0 0

67

10

13 14

Units of good X

20

An indifference map

Units of good Y

30

20

10

I5 I2

I1

0 0

10

Units of good X

20

I3

I4

The impossibility of two indifference curves crossing

Units of good Y

30

20

a 10

b I1

0 0

10

Units of good X

20

The impossibility of two indifference curves crossing

Units of good Y

30

20

a 10

I2

b

I1

0 0

10

Units of good X

20

The impossibility of two indifference curves crossing

Units of good Y

30

20

a 10

c I2

b

I1

0 0

10

Units of good X

20

Indifference analysis

Budget lines

A budget line Units of good X

Units of good Y

0 5 10 15

30 20 10 0

Assumptions PX = £2 PY = £1 Budget = £30

A budget line

a

30

Units of good Y

Units of good X

Units of Point on good Y budget line

0 5 10 15

20

30 20 10 0

a

Assumptions

10

PX = £2 PY = £1 Budget = £30

0 0

5

10

Units of good X

15

20

A budget line

a

30

Units of good Y

Units of good X 0 5 10 15

b

20

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

a b

Assumptions

10

PX = £2 PY = £1 Budget = £30

0 0

5

10

Units of good X

15

20

A budget line

a

30

Units of good Y

Units of good X 0 5 10 15

b

20

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

c

10

a b c

Assumptions PX = £2 PY = £1 Budget = £30

0 0

5

10

Units of good X

15

20

A budget line

a

30

Units of good Y

Units of good X 0 5 10 15

b

20

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

c

10

a b c d

Assumptions PX = £2 PY = £1 Budget = £30

d

0 0

5

10

Units of good X

15

20

Effect of an increase in income on the budget line 40

Units of good Y

30

20 Assumptions

10

PX = £2 PY = £1 Budget = £30

0 0

5

10

Units of good X

15

20

Effect of an increase in income on the budget line 40

Assumptions PX = £2 PY = £1 Budget = £40

Units of good Y

30

n

20

m

16

10

Budget = £40 Budget = £30

0 0

5

7

10

Units of good X

15

20

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

Units of good Y

Assumptions PX = £2 PY = £1 Budget = £30

20

10

0 0

5

10

15

20

Units of good X

25

30

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

Units of good Y

Assumptions PX = £2 PY = £1 Budget = £30

20

10

0 0

5

10

15

20

Units of good X

25

30

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

Units of good Y

Assumptions PX = £1 PY = £1 Budget = £30

20

10

0 0

5

10

15

20

Units of good X

25

30

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

a

30

Units of good Y

Assumptions PX = £1 PY = £1 Budget = £30

20

10

B2

B1

c

b

0 0

5

10

15

20

Units of good X

25

30

Indifference analysis

The optimal level of consumption

Units of good Y

Finding the optimum consumption

O Units of good X

Units of good Y

Finding the optimum consumption

I5

I1

O Units of good X

I2

I3

I4

Units of good Y

Finding the optimum consumption

Budget line

I5

I1

O Units of good X

I2

I3

I4

Finding the optimum consumption r

Units of good Y

s

Y1

t

u

I5 v

O

I1 X1 Units of good X

I2

I3

I4

Indifference analysis

Effects of a change in income

Units of good Y

Effect on consumption of a change in income

a

B1 O Units of good X

I1

Units of good Y

Effect on consumption of a change in income

B1

B2

O Units of good X

I1

I2

Units of good Y

Effect on consumption of a change in income

I3

B1

B2

B3

O Units of good X

B4

I1

I2

I4

Units of good Y

Effect on consumption of a change in income

Income-consumption curve

I3

B1

B2

B3

O Units of good X

B4

I1

I2

I4

Bread

Deriving an Engel curve from an income-consumption curve

B1

B2

I1

I2

I3

B3

CDs

Bread

Deriving an Engel curve from an income-consumption curve

Income-consumption curve

B1

B2

I1

I2

I3

B3

CDs

Bread

Deriving an Engel curve from an income-consumption curve

Income-consumption curve

B1

B2

I1

I2

I3

B3

Income (£)

CDs

Bread

Deriving an Engel curve from an income-consumption curve

Income-consumption curve

a

Qb1

B1

Income (£)

Qcd1

B2

I1

I2

I3

B3

CDs

Bread

Deriving an Engel curve from an income-consumption curve

Income-consumption curve

a

Qb1

B1

Income (£)

Qcd1

Y1

I2 B3

CDs

a

Qcd1

B2

I1

I3

Bread

Deriving an Engel curve from an income-consumption curve

Qb2 Qb1

a

b

Income-consumption curve

B1

Income (£)

Qcd1 Qcd2

Y2 Y1

b a

Qcd1 Qcd2

B2

I1

I2

I3

B3

CDs

Bread

Deriving an Engel curve from an income-consumption curve

Qb3 Qb2 Qb1

a

b

Income-consumption c curve

B1

Income (£)

Qcd1 Qcd2 Qcd3

Y3 Y2 Y1

b

c

a

Qcd1 Qcd2 Qcd3

B2

I1

I2

I3

B3

CDs

Bread

Deriving an Engel curve from an income-consumption curve

Qb3 Qb2 Qb1

a

b

Income-consumption c curve

B1

B2

I1

I2 B3

Income (£)

Qcd1 Qcd2 Qcd3

Y3 Y2 Y1

CDs Engel curve

b

c

a

Qcd1 Qcd2 Qcd3

I3

Units of good Y (normal good)

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

a B1 O

Units of good X (inferior good)

I1

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

Units of good Y (normal good)

b

I2

a B1 O

Units of good X (inferior good)

I1

B2

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 B1 O

Units of good X (inferior good)

I1

B2

Indifference analysis

Effects of a change in price

Effect of a fall in the price of good X 30

Units of good Y

Assumptions PX = £2 PY = £1 Budget = £30

20

10

0 0

5

10

15

20

Units of good X

25

30

Effect of a fall in the price of good X 30

Units of good Y

Assumptions PX = £2 PY = £1 Budget = £30

20

j 10

I1

B1

0 0

5

10

15

20

Units of good X

25

30

Effect of a fall in the price of good X 30

Units of good Y

Assumptions PX = £1 PY = £1 Budget = £30

20

j 10

I1

B1

0 0

5

10

15

20

Units of good X

25

30

Effect of a fall in the price of good X 30

a

Units of good Y

Assumptions PX = £1 PY = £1 Budget = £30

20

k j 10

I2

I1

B1

0 0

5

10

15

20

Units of good X

25

B2 30

Effect of a fall in the price of good X

Units of good Y

30

a

Price-consumption curve

20

k j 10

I2

I1

B1

0 0

5

10

15

20

Units of good X

25

B2 30

Expenditure on all other goods

Deriving a demand curve from a price-consumption curve

a

B1

I1

Units of good X

Expenditure on all other goods

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

b

B1

B2

I1

I2

Units of good X

Expenditure on all other goods

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

b

B1

B2

I1

I2

Units of good X

Expenditure on all other goods

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

b

c

B1

d

B2

B3

I I1 2 B4

I3

I4

Units of good X

Expenditure on all other goods

Deriving a demand curve from a price-consumption curve

a

b

c

B1

d

Price-consumption curve

B2

B3

I I1 2 B4

I3

I4

Units of good X

Expenditure on all other goods

Deriving a demand curve from a price-consumption curve

a

b

c

B1

d

Price-consumption curve

B2

B3

I I1 2 B4

I3

I4

Price of good X

Units of good X P1

a

Q1

Units of good X

Expenditure on all other goods

Deriving a demand curve from a price-consumption curve

a

b

c

d

B1

Price-consumption curve

B2

B3

I I1 2 B4

I3

I4

Price of good X

Units of good X P1

P2 P3 P4

a

b c

d

Q1 Q2 Q3 Q4

Demand Units of good X

Indifference analysis

Income and substitution effects of a change in price: (a) normal good

Units of good Y

Income and substitution effects: normal good

f

I1 I2

B1 QX1

I3 I4 I5 I6

Units of Good X

Income and substitution effects: normal good

Units of good Y

Rise in the price of good X

h f

I1 I2

B2 QX3

QX1

B1

I3 I4 I5 I6

Units of Good X

Income and substitution effects: normal good

Units of good Y

Substitution effect of the price rise

g h f

I1 I2

B2 QX3

QX2

QX1

Substitution effect

B1a

B1

I3 I4 I5 I6

Units of Good X

Income and substitution effects: normal good

Units of good Y

Income effect of the price rise

g h f

I1 I2

B2 QX3

QX2

Incom e

QX1

Substitution effect

B1a

B1

I3 I4 I5 I6

Units of Good X

Indifference analysis

Income and substitution effects of a change in price: (b) inferior good

Units of good Y

Income and substitution effects: Inferior (non-Giffen) good

f

I1 I2

B1

QX1 Units of Good X

Income and substitution effects: Inferior (non-Giffen) good

Units of good Y

Rise in the price of good X

f h

I1

B2 QX3

I2

B1

QX1 Units of Good X

Units of good Y

Income and substitution effects: Inferior (non-Giffen) good

Substitution effect of the price rise

g

f h

I1

B2 QX2

B1a

I2

B1

QX1

Substitution effect

Units of Good X

Income and substitution effects: Inferior (non-Giffen) good

Income effect of the price rise

Units of good Y

g

f h

I1

B2 QX2 QX3 Income effect

B1a

I2

B1

QX1

Substitution effect

Units of Good X

Indifference analysis

Income and substitution effects of a change in price: (c) Giffen good

Units of good Y

Income and substitution effects: Giffen good

f

I1

I2

B1

QX1 Units of Good X

Income and substitution effects: Giffen good

Units of good Y

Rise in the price of good X

f

I1 h

B2

I2

B1

QX1QX3 Units of Good X

Units of good Y

Income and substitution effects: Giffen good

Substitution effect of the price rise

g f

I1 h

B2

B1a

I2

B1

QX2 QX1QX3 Substitution effect

Units of Good X

Income and substitution effects: Giffen good

Income effect of the price rise

Units of good Y

g f

I1 h

B2

B1a

I2

B1

QX2 QX1QX3 Income effect

Substitution effect

Units of Good X

Indifference analysis

Characteristics theory

Choice between brands: characteristics approach

Quantity of characteristic A

Brand 1

QA1

Brand 2

x1

Quantities of any one of three brands that can be purchased for a given budget at current prices: Brand 1 is chosen Brand 3

x2

x3

I5

I1 QB1 Quantity of characteristic B

I2

I3

I4

Choice between brands: characteristics approach

Quantity of characteristic A

Brand 1

Brand 2 Effect of reductions in the price of Brand 2: Brand 2 is now chosen

x1

Brand 3 QA5 x2

x4

x5

x3

I5

I1 QB5 Quantity of characteristic B

I2

I3

I4

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