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INDIFFERENCE ANALYSISINDIFFERENCE ANALYSIS
• Indifference curvesIndifference curves
– constructing an indifference curveconstructing an indifference curve
– the shape of an indifference curvethe shape of an indifference curve
– diminishing marginal rate of substitutiondiminishing marginal rate of substitution
– an indifference mapan indifference map
• The budget lineThe budget line
– constructing a budget lineconstructing a budget line
– effect of a change in incomeeffect of a change in income
– effect of a change in priceeffect of a change in price
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
0 2 4 6 8 10 12 14 16 18 20 22
a
Pears
Oranges
Pears
30
24
20
14
10
8
6
Oranges
6
7
8
10
13
15
20
Point
a
b
c
d
e
f
g
Constructing an indifference curveConstructing an indifference curve
0
10
20
30
0 10 20
Deriving the marginal rate of substitution (Deriving the marginal rate of substitution (MRSMRS))
a
b
UnitsofgoodY
Units of good X
26
6 7
0
10
20
30
0 10 20
a
b
UnitsofgoodY
Units of good X
26
6 7
∆Y = 4
∆X = 1
MRS = 4
Deriving the marginal rate of substitution (Deriving the marginal rate of substitution (MRSMRS))
0
10
20
30
0 10 20
a
b
UnitsofgoodY
Units of good X
26
6 7
c
d
∆Y = 4
∆X = 1
∆Y = 1
∆X = 1
MRS = 1
MRS = 4
13 14
9
Deriving the marginal rate of substitution (Deriving the marginal rate of substitution (MRSMRS))
0
10
20
30
0 10 20
UnitsofgoodY
Units of good X
I1
I2
I3
I4
I5
An indifference mapAn indifference map
UnitsofgoodY
Units of good X
a
b
Units of
good X
0
5
10
15
Units of
good Y
30
20
10
0
Point on
budget line
a
b
Assumptions
PX = £2
PY = £1
Budget = £30
0
10
20
30
0 5 10 15 20
A budget lineA budget line
0
10
20
30
40
0 5 10 15 20
UnitsofgoodY
Units of good X
Assumptions
PX = £2
PY = £1
Budget = £40
16
7
m
n
Budget
= £40
Budget
= £30
Effect of an increase in income on the budget lineEffect of an increase in income on the budget line
0
10
20
30
0 5 10 15 20 25 30
Effect on the budget line of a fall in the price of good XEffect on the budget line of a fall in the price of good XUnitsofgoodY
Units of good X
Assumptions
PX = £1
PY = £1
Budget = £30
B1
B2
a
b c
INDIFFERENCE ANALYSISINDIFFERENCE ANALYSIS
• The optimum consumption pointThe optimum consumption point
– equating the marginal rate of substitution withequating the marginal rate of substitution with
the price ratiothe price ratio
• The effect of a change in incomeThe effect of a change in income
– the income–consumption curvethe income–consumption curve
– the Engel curvethe Engel curve
– income elasticity of demand and the income–income elasticity of demand and the income–
consumption curveconsumption curve
– the effect of a rise in income on the demand forthe effect of a rise in income on the demand for
an inferior goodan inferior good
I1
I2
I3
I4
I5
UnitsofgoodY
O
Units of good X
Budget line
Finding the optimum consumptionFinding the optimum consumption
I1
I2
I3
I4
I5
UnitsofgoodY
O
Units of good X
r
s
t
Y1
X1
v
u
Same slope atSame slope at tt of indifference curve and budget lineof indifference curve and budget line
UnitsofgoodY
O
Units of good X
B1
Effect on consumption of a change in incomeEffect on consumption of a change in income
I1
I2
UnitsofgoodY
O
Units of good X
B1
B2 I1
Effect on consumption of a change in incomeEffect on consumption of a change in income
I2
UnitsofgoodY
O
Units of good X
B1
B2 B3 B4 I1
I3
I4
Effect on consumption of a change in incomeEffect on consumption of a change in income
I2
UnitsofgoodY
O
Units of good X
B1
B2 B3 B4 I1
I3
I4
Income–consumption curve
Effect on consumption of a change in incomeEffect on consumption of a change in income
B1
B2 B3
I3
I2
I1
Income-consumption
curve
BreadIncome(£)
CDs
Qb3
Qb2
Qb1
Y3
Y2
Y1
Qcd3
Qcd2
Qcd1
Qcd3
Qcd2
Qcd1
a
b
c
a
b
c
Deriving an Engel curve from an income–consumption curveDeriving an Engel curve from an income–consumption curve
B1
B2 B3
I3
I2
I1
Income-consumption
curve
BreadIncome(£)
CDs
Qb3
Qb2
Qb1
Y3
Y2
Y1
Qcd3
Qcd2
Qcd1
Qcd3
Qcd2
Qcd1
Engel curve
a
b
c
a
b
c
Deriving an Engel curve from an income–consumption curveDeriving an Engel curve from an income–consumption curve
Effect of a rise in income on the demand for an inferior goodEffect of a rise in income on the demand for an inferior goodUnitsofgoodY
(normalgood)
Units of good X
(inferior good)
O
I1B1
a
Effect of a rise in income on the demand for an inferior goodEffect of a rise in income on the demand for an inferior goodUnitsofgoodY
(normalgood)
Units of good X
(inferior good)
O
I2
I1B1 B2
a
b
Effect of a rise in income on the demand for an inferior goodEffect of a rise in income on the demand for an inferior goodUnitsofgoodY
(normalgood)
Units of good X
(inferior good)
O
Income–consumption curve
I2
I1B1 B2
a
b
0
10
20
30
0 5 10 15 20 25 30
Effect of a fall in the price of goodEffect of a fall in the price of good XXUnitsofgoodY
Units of good X
Assumptions
PX = £2
PY = £1
Budget = £30
B1
I1
j
0
10
20
30
0 5 10 15 20 25 30
UnitsofgoodY
Units of good X
Assumptions
PX = £1
PY = £1
Budget = £30
B1
I1
j
I2
B2
k
Effect of a fall in the price of goodEffect of a fall in the price of good XX
a
0
10
20
30
0 5 10 15 20 25 30
UnitsofgoodY
Units of good X
B1
I1
j
I2
B2
k
Price–consumption curve
Effect of a fall in the price of goodEffect of a fall in the price of good XX
a
B1 B2 B3
I3
I2
I1
I4
B4
Expenditureon
allothergoods
Units of good X
a b
c d
Further falls in
the price of X
Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
B1 B2 B3
I3
I2
I1
I4
B4
Expenditureon
allothergoods
Units of good X
a Price-consumption
curve
b
c d
Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
B1 B2 B3
I3
I2
I1
I4
B4
Expenditureon
allothergoods
Units of good X
a Price-consumption
curve
b
c d
PriceofgoodX
Units of good X
a
b
P1
P2
Q1 Q2
Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
B1 B2 B3
I3
I2
I1
I4
B4
Expenditureon
allothergoods
Units of good X
a Price-consumption
curve
b
c d
PriceofgoodX
Units of good X
a
b
c
d
P1
P2
P3
P4
Q1 Q2 Q3 Q4
Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
B1 B2 B3
I3
I2
I1
I4
B4
Expenditureon
allothergoods
Units of good X
a Price-consumption
curve
b
c d
PriceofgoodX
Units of good X
a
b
c
d
Demand
P1
P2
P3
P4
Q1 Q2 Q3 Q4
Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
INDIFFERENCEINDIFFERENCE ANALYSISANALYSIS
• The effect of changes in priceThe effect of changes in price
– the price–consumption curvethe price–consumption curve
– deriving the individual's demand curvederiving the individual's demand curve
• Income and substitution effects of a priceIncome and substitution effects of a price
changechange
– a normal gooda normal good
– an inferior goodan inferior good
– a Giffen good (a special type of inferior good)a Giffen good (a special type of inferior good)
Units of Good XUnits of Good X
UnitsofgoodY
I1
I2
I3
I4
I5
I6
f
B1
Income and substitution effects: normal goodIncome and substitution effects: normal good
QX1
Units of Good XUnits of Good X
UnitsofgoodY
I1
I2
I3
I4
I5
I6
f
B1
Income and substitution effects: normal goodIncome and substitution effects: normal good
QX1
h
B2
QX3
Rise in the price
of good X
Units of Good XUnits of Good X
UnitsofgoodY
I1
I2
I3
I4
I5
I6
f
B1
Income and substitution effects: normal goodIncome and substitution effects: normal good
QX1
h
B2
Substitution
effect
g
QX2
B1a
Substitution effect
of the price rise
Units of Good XUnits of Good X
UnitsofgoodY
I1
I2
I3
I4
I5
I6
f
B1
Income and substitution effects: normal goodIncome and substitution effects: normal good
QX1
h
B2
QX3
Substitution
effect
g
QX2
B1a
Income effect
of the price rise
Incom
e
Units of Good Y
Units of Good XUnits of Good X
UnitsofgoodY
f
B1
Income and substitution effects: Inferior (non-Giffen) goodIncome and substitution effects: Inferior (non-Giffen) good
QX1
I1
I2
Units of Good Y
Units of Good XUnits of Good X
UnitsofgoodY
f
B1
Income and substitution effects: Inferior (non-Giffen) goodIncome and substitution effects: Inferior (non-Giffen) good
QX1
B2
h
QX3
I1
I2
Rise in the price
of good X
Units of Good Y
Units of Good XUnits of Good X
UnitsofgoodY
f
B1
Income and substitution effects: Inferior (non-Giffen) goodIncome and substitution effects: Inferior (non-Giffen) good
QX1
B2
g
h
QX2
I1
I2
Substitution effect
B1a
Substitution effect
of the price rise
Units of Good Y
Units of Good XUnits of Good X
UnitsofgoodY
f
B1
Income and substitution effects: Inferior (non-Giffen) goodIncome and substitution effects: Inferior (non-Giffen) good
QX1
B2
g
h
QX2
QX3
I1
I2
Substitution effect
Income effect
B1a
Income effect of
the price rise
Units of Good Y
Units of Good XUnits of Good X
UnitsofgoodY
f
B1
Income and substitution effects: Giffen goodIncome and substitution effects: Giffen good
QX1
I1
I2
Units of Good Y
Units of Good XUnits of Good X
UnitsofgoodY
f
B1
Income and substitution effects: Giffen goodIncome and substitution effects: Giffen good
QX1
B2
h
QX3
I1
I2
Rise in the price
of good X
Units of Good Y
Units of Good XUnits of Good X
UnitsofgoodY
f
B1
Income and substitution effects: Giffen goodIncome and substitution effects: Giffen good
QX1
B2
h
QX3
I1
I2
g
QX2
B1a
Substitution effect
Substitution effect
of the price rise
Units of Good Y
Units of Good XUnits of Good X
UnitsofgoodY
f
B1
Income and substitution effects: Giffen goodIncome and substitution effects: Giffen good
QX1
B2
h
QX3
I1
I2
g
QX2
Substitution effect
Income effect
Income effect of
the price rise
B1a
INDIFFERENCE ANALYSISINDIFFERENCE ANALYSIS
• The effect of a change in price on theThe effect of a change in price on the
demand fordemand for otherother goodsgoods
• The usefulness of indifference analysisThe usefulness of indifference analysis
– superiority of using ordinal measuressuperiority of using ordinal measures
– limitations of indifference analysislimitations of indifference analysis

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Indifference Curve

  • 1. INDIFFERENCE ANALYSISINDIFFERENCE ANALYSIS • Indifference curvesIndifference curves – constructing an indifference curveconstructing an indifference curve – the shape of an indifference curvethe shape of an indifference curve – diminishing marginal rate of substitutiondiminishing marginal rate of substitution – an indifference mapan indifference map • The budget lineThe budget line – constructing a budget lineconstructing a budget line – effect of a change in incomeeffect of a change in income – effect of a change in priceeffect of a change in price
  • 2. 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 0 2 4 6 8 10 12 14 16 18 20 22 a Pears Oranges Pears 30 24 20 14 10 8 6 Oranges 6 7 8 10 13 15 20 Point a b c d e f g Constructing an indifference curveConstructing an indifference curve
  • 3. 0 10 20 30 0 10 20 Deriving the marginal rate of substitution (Deriving the marginal rate of substitution (MRSMRS)) a b UnitsofgoodY Units of good X 26 6 7
  • 4. 0 10 20 30 0 10 20 a b UnitsofgoodY Units of good X 26 6 7 ∆Y = 4 ∆X = 1 MRS = 4 Deriving the marginal rate of substitution (Deriving the marginal rate of substitution (MRSMRS))
  • 5. 0 10 20 30 0 10 20 a b UnitsofgoodY Units of good X 26 6 7 c d ∆Y = 4 ∆X = 1 ∆Y = 1 ∆X = 1 MRS = 1 MRS = 4 13 14 9 Deriving the marginal rate of substitution (Deriving the marginal rate of substitution (MRSMRS))
  • 6. 0 10 20 30 0 10 20 UnitsofgoodY Units of good X I1 I2 I3 I4 I5 An indifference mapAn indifference map
  • 7. UnitsofgoodY Units of good X a b Units of good X 0 5 10 15 Units of good Y 30 20 10 0 Point on budget line a b Assumptions PX = £2 PY = £1 Budget = £30 0 10 20 30 0 5 10 15 20 A budget lineA budget line
  • 8. 0 10 20 30 40 0 5 10 15 20 UnitsofgoodY Units of good X Assumptions PX = £2 PY = £1 Budget = £40 16 7 m n Budget = £40 Budget = £30 Effect of an increase in income on the budget lineEffect of an increase in income on the budget line
  • 9. 0 10 20 30 0 5 10 15 20 25 30 Effect on the budget line of a fall in the price of good XEffect on the budget line of a fall in the price of good XUnitsofgoodY Units of good X Assumptions PX = £1 PY = £1 Budget = £30 B1 B2 a b c
  • 10. INDIFFERENCE ANALYSISINDIFFERENCE ANALYSIS • The optimum consumption pointThe optimum consumption point – equating the marginal rate of substitution withequating the marginal rate of substitution with the price ratiothe price ratio • The effect of a change in incomeThe effect of a change in income – the income–consumption curvethe income–consumption curve – the Engel curvethe Engel curve – income elasticity of demand and the income–income elasticity of demand and the income– consumption curveconsumption curve – the effect of a rise in income on the demand forthe effect of a rise in income on the demand for an inferior goodan inferior good
  • 11. I1 I2 I3 I4 I5 UnitsofgoodY O Units of good X Budget line Finding the optimum consumptionFinding the optimum consumption
  • 12. I1 I2 I3 I4 I5 UnitsofgoodY O Units of good X r s t Y1 X1 v u Same slope atSame slope at tt of indifference curve and budget lineof indifference curve and budget line
  • 13. UnitsofgoodY O Units of good X B1 Effect on consumption of a change in incomeEffect on consumption of a change in income I1
  • 14. I2 UnitsofgoodY O Units of good X B1 B2 I1 Effect on consumption of a change in incomeEffect on consumption of a change in income
  • 15. I2 UnitsofgoodY O Units of good X B1 B2 B3 B4 I1 I3 I4 Effect on consumption of a change in incomeEffect on consumption of a change in income
  • 16. I2 UnitsofgoodY O Units of good X B1 B2 B3 B4 I1 I3 I4 Income–consumption curve Effect on consumption of a change in incomeEffect on consumption of a change in income
  • 17. B1 B2 B3 I3 I2 I1 Income-consumption curve BreadIncome(£) CDs Qb3 Qb2 Qb1 Y3 Y2 Y1 Qcd3 Qcd2 Qcd1 Qcd3 Qcd2 Qcd1 a b c a b c Deriving an Engel curve from an income–consumption curveDeriving an Engel curve from an income–consumption curve
  • 18. B1 B2 B3 I3 I2 I1 Income-consumption curve BreadIncome(£) CDs Qb3 Qb2 Qb1 Y3 Y2 Y1 Qcd3 Qcd2 Qcd1 Qcd3 Qcd2 Qcd1 Engel curve a b c a b c Deriving an Engel curve from an income–consumption curveDeriving an Engel curve from an income–consumption curve
  • 19. Effect of a rise in income on the demand for an inferior goodEffect of a rise in income on the demand for an inferior goodUnitsofgoodY (normalgood) Units of good X (inferior good) O I1B1 a
  • 20. Effect of a rise in income on the demand for an inferior goodEffect of a rise in income on the demand for an inferior goodUnitsofgoodY (normalgood) Units of good X (inferior good) O I2 I1B1 B2 a b
  • 21. Effect of a rise in income on the demand for an inferior goodEffect of a rise in income on the demand for an inferior goodUnitsofgoodY (normalgood) Units of good X (inferior good) O Income–consumption curve I2 I1B1 B2 a b
  • 22. 0 10 20 30 0 5 10 15 20 25 30 Effect of a fall in the price of goodEffect of a fall in the price of good XXUnitsofgoodY Units of good X Assumptions PX = £2 PY = £1 Budget = £30 B1 I1 j
  • 23. 0 10 20 30 0 5 10 15 20 25 30 UnitsofgoodY Units of good X Assumptions PX = £1 PY = £1 Budget = £30 B1 I1 j I2 B2 k Effect of a fall in the price of goodEffect of a fall in the price of good XX a
  • 24. 0 10 20 30 0 5 10 15 20 25 30 UnitsofgoodY Units of good X B1 I1 j I2 B2 k Price–consumption curve Effect of a fall in the price of goodEffect of a fall in the price of good XX a
  • 25. B1 B2 B3 I3 I2 I1 I4 B4 Expenditureon allothergoods Units of good X a b c d Further falls in the price of X Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
  • 26. B1 B2 B3 I3 I2 I1 I4 B4 Expenditureon allothergoods Units of good X a Price-consumption curve b c d Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
  • 27. B1 B2 B3 I3 I2 I1 I4 B4 Expenditureon allothergoods Units of good X a Price-consumption curve b c d PriceofgoodX Units of good X a b P1 P2 Q1 Q2 Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
  • 28. B1 B2 B3 I3 I2 I1 I4 B4 Expenditureon allothergoods Units of good X a Price-consumption curve b c d PriceofgoodX Units of good X a b c d P1 P2 P3 P4 Q1 Q2 Q3 Q4 Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
  • 29. B1 B2 B3 I3 I2 I1 I4 B4 Expenditureon allothergoods Units of good X a Price-consumption curve b c d PriceofgoodX Units of good X a b c d Demand P1 P2 P3 P4 Q1 Q2 Q3 Q4 Deriving a demand curve from a price–consumption curveDeriving a demand curve from a price–consumption curve
  • 30. INDIFFERENCEINDIFFERENCE ANALYSISANALYSIS • The effect of changes in priceThe effect of changes in price – the price–consumption curvethe price–consumption curve – deriving the individual's demand curvederiving the individual's demand curve • Income and substitution effects of a priceIncome and substitution effects of a price changechange – a normal gooda normal good – an inferior goodan inferior good – a Giffen good (a special type of inferior good)a Giffen good (a special type of inferior good)
  • 31. Units of Good XUnits of Good X UnitsofgoodY I1 I2 I3 I4 I5 I6 f B1 Income and substitution effects: normal goodIncome and substitution effects: normal good QX1
  • 32. Units of Good XUnits of Good X UnitsofgoodY I1 I2 I3 I4 I5 I6 f B1 Income and substitution effects: normal goodIncome and substitution effects: normal good QX1 h B2 QX3 Rise in the price of good X
  • 33. Units of Good XUnits of Good X UnitsofgoodY I1 I2 I3 I4 I5 I6 f B1 Income and substitution effects: normal goodIncome and substitution effects: normal good QX1 h B2 Substitution effect g QX2 B1a Substitution effect of the price rise
  • 34. Units of Good XUnits of Good X UnitsofgoodY I1 I2 I3 I4 I5 I6 f B1 Income and substitution effects: normal goodIncome and substitution effects: normal good QX1 h B2 QX3 Substitution effect g QX2 B1a Income effect of the price rise Incom e
  • 35. Units of Good Y Units of Good XUnits of Good X UnitsofgoodY f B1 Income and substitution effects: Inferior (non-Giffen) goodIncome and substitution effects: Inferior (non-Giffen) good QX1 I1 I2
  • 36. Units of Good Y Units of Good XUnits of Good X UnitsofgoodY f B1 Income and substitution effects: Inferior (non-Giffen) goodIncome and substitution effects: Inferior (non-Giffen) good QX1 B2 h QX3 I1 I2 Rise in the price of good X
  • 37. Units of Good Y Units of Good XUnits of Good X UnitsofgoodY f B1 Income and substitution effects: Inferior (non-Giffen) goodIncome and substitution effects: Inferior (non-Giffen) good QX1 B2 g h QX2 I1 I2 Substitution effect B1a Substitution effect of the price rise
  • 38. Units of Good Y Units of Good XUnits of Good X UnitsofgoodY f B1 Income and substitution effects: Inferior (non-Giffen) goodIncome and substitution effects: Inferior (non-Giffen) good QX1 B2 g h QX2 QX3 I1 I2 Substitution effect Income effect B1a Income effect of the price rise
  • 39. Units of Good Y Units of Good XUnits of Good X UnitsofgoodY f B1 Income and substitution effects: Giffen goodIncome and substitution effects: Giffen good QX1 I1 I2
  • 40. Units of Good Y Units of Good XUnits of Good X UnitsofgoodY f B1 Income and substitution effects: Giffen goodIncome and substitution effects: Giffen good QX1 B2 h QX3 I1 I2 Rise in the price of good X
  • 41. Units of Good Y Units of Good XUnits of Good X UnitsofgoodY f B1 Income and substitution effects: Giffen goodIncome and substitution effects: Giffen good QX1 B2 h QX3 I1 I2 g QX2 B1a Substitution effect Substitution effect of the price rise
  • 42. Units of Good Y Units of Good XUnits of Good X UnitsofgoodY f B1 Income and substitution effects: Giffen goodIncome and substitution effects: Giffen good QX1 B2 h QX3 I1 I2 g QX2 Substitution effect Income effect Income effect of the price rise B1a
  • 43. INDIFFERENCE ANALYSISINDIFFERENCE ANALYSIS • The effect of a change in price on theThe effect of a change in price on the demand fordemand for otherother goodsgoods • The usefulness of indifference analysisThe usefulness of indifference analysis – superiority of using ordinal measuressuperiority of using ordinal measures – limitations of indifference analysislimitations of indifference analysis