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2121The Theory of
Consumer Choice
Utility, Total Utility and Marginal Utility
• In economics, the satisfaction or pleasure consumers
derive from the consumption of goods is called “utility”.
• Total utility is the total utility a consumer derives from the
consumption of all units of a good over a given
consumption period.
• Marginal utility is the utility a consumer derives from the last
unit of a good she or he consumes during a given
consumption period.
• Total utility = Sum of marginal utilities
• The Law of Diminishing Marginal Utility
Over a given consumption period, as more and more of a
good is consumed by a consumer, beyond a certain point,
the marginal utility of additional units begins to fall.
Total Utility
0
50
100
150
200
1 2 3 4 5 6 7 8 9 10 11
Marginal Utility
-20
-10
0
10
20
30
40
50
1 2 3 4 5 6 7 8 9 10 11
Q ($) TU ($) MU
0 0
1 40 40
2 85 45
3 120 35
4 140 20
5 150 10
6 157 7
7 160 3
8 160 0
9 155 -5
10 145 -10
145
How much ice cream does Jill
buy in a month?
Total and Marginal Utility for Ice Cream
BUDGET CONSTRAINT: What a consumer can afford
• The budget constraint depicts the limit on the
consumption “bundles” that a consumer can
afford.
• People consume less than they desire because their
spending is constrained by their income.
• Budget constraint shows various combinations of
goods the consumer can afford given his or her
income and the prices of the two goods.
• If a consumer wants to spend $ 1,000 on Pepsi and
pizza, where price of Pepsi is $ 2 and Pizza is $10,
then probable combinations would be:
Probable combinations of Pepsi and Pizza
under Budget Constraint
Figure 1 The Consumer’s Budget Constraint
Quantity
of Pepsi
0
Consumer’s
budget constraint
500
B
250
50
C
100
A
Cannot be E
E
Quantity of Pizza
• Illustration of Figure 1 (Consumer’s Budget Constraint)
• For example, if the consumer buys no pizzas, he can afford 500
pints of Pepsi (point B). If he buys no Pepsi, he can afford 100
pizzas (point A).
• Alternately, the consumer can buy 50 pizzas and 250 pints of
Pepsi (point C).
• But the consumer cannot go out of the inner boundary of budget
line (point E).
• Any point on the budget line indicates the consumer’s
combination or tradeoff between two goods
• The slope of the budget line equals the relative price of the two
goods, that is, the ratio of price of one good compared to the
price of the other.
• It measures the rate at which a consumer trade a good for other
PREFERENCES: What a consumer wants
• A consumer’s preference among consumption bundles
may be illustrated with indifference curves.
• An indifference curve is a curve that shows consumption
bundles that give the consumer the same level of
satisfaction
Figure 2 The Consumer’s Preferences
Quantity
of Pepsi
0
Indifference
curve,I1
I2
C
B
A
D
Quantity of Pizza
Representing Preferences with Indifference Curves
• The Consumer’s Preferences
• The consumer is indifferent, or equally happy, with the
combinations shown at points A, B, and C because
they are all on the same curve.
• The Marginal Rate of Substitution
• The slope at any point on an indifference curve is the
marginal rate of substitution.
• It is the rate at which a consumer is willing to trade one good
for another.
• It is the amount of one good that a consumer requires as
compensation to give up one unit of the other good.
Figure 2 The Consumer’s Preferences
Quantity
of Pepsi
0
Indifference
curve,I1
I2
1
MRS
C
B
A
D
Quantity of Pizza
MRS = MU (Piz) / MU (Pep)
= Change in Pepsi/Change in Pizza
Four Properties of Indifference Curves
• Property 1: Higher indifference curves are
preferred to lower ones.
• Consumers usually prefer more of something to get.
• Higher indifference curves represent larger quantities of goods
than do lower indifference curves.
• Property 2: Indifference curves are downward
sloping.
• A consumer is willing to give up one good only if he or she gets
more of the other good in order to remain equally happy.
• If the quantity of one good is reduced, the quantity of the other
good must increase.
• For this reason, most indifference curves slope downward.
Copyright©2004 South-Western
Figure 2 The Consumer’s Preferences
Quantity
of Pepsi
0
Indifference
curve,I1
I2
C
B
A
D
Quantity of Pizza
• Property 3: Indifference curves do not cross.
• Points A and B should make the consumer equally happy.
• Points B and C should make the consumer equally happy.
• This implies that A and C would make the consumer equally
happy.
• But C has more of both goods compared to A.
• Property 4: Indifference curves are bowed inward.
• People are more willing to trade away goods that they have in
abundance and less willing to trade away goods of which they
have little.
• These differences in a consumer’s marginal substitution rates
cause his or her indifference curve to bow inward.
Four Properties of Indifference Curves
Figure 3 The Impossibility of Intersecting Indifference
Curves
Quantity
of Pepsi
0
C
A
B
Quantity of Pizza
Figure 4 Bowed Indifference Curves
Quantity
of Pepsi
0
Indifference
curve
8
3
A
3
7
B
1
MRS = 6
1
MRS = 1
4
6
14
2
Quantity of Pizza
OPTIMIZATION: What the consumer chooses
• Consumers want to get the combination of goods on
the highest possible indifference curve.
• However, the consumer must also end up on or below
his budget constraint.
The Consumer’s Optimal Choices
• Combining the indifference curve and the
budget constraint determines the consumer’s
optimal choice.
Figure 6 The Consumer’s Optimum
Quantity
of Pepsi
0
Budget constraint
I1
I2
I3
Optimum
A
B
MRS =
MUPiz /MUPep= PPiz /PPep
Quantity of Pizza
The Consumer’s Optimal Choice
• Consumer optimum occurs at the point where
the highest indifference curve and the budget
constraint are tangent.
• The consumer chooses consumption of the two
goods so that the marginal rate of substitution
equals the relative price.
• For Two-Good Rule
MUPep $PPep
--------- = ----------
MUPiz $PPiz
How Changes in Income Affect the
Consumer’s Choices
• An increase in income shifts the budget constraint
outward.
• The consumer is able to choose a better combination of
goods on a higher indifference curve.
• Normal versus Inferior Goods
• If a consumer buys more of a good when his or her income
rises, the good is called a normal good (+)
• If a consumer buys less of a good when his or her income
rises, the good is called an inferior good (-).
Figure 7 An Increase in Income
Quantity
of Pizza
Quantity
of Pepsi
0
New budget constraint
I1
I2
2. . . . raising pizza consumption . . .
3. . . . and
Pepsi
consumption.
Initial
budget
constraint
1. An increase in income shifts the
budget constraint outward . . .
Initial
optimum
New optimum
Figure 8 An Inferior Good
Quantity
of Pepsi
0
Initial
budget
constraint
New budget constraint
I1
I2
1. When an increase in income shifts the
budget constraint outward . . .3. . . . but
Pepsi
consumption
falls, making
Pepsi an
inferior good.
2. . . . pizza consumption rises, making pizza a normal good . . .
Initial
optimum
New optimum
Quantity of Pizza
How Changes in Prices Affect Consumer’s
Choices
• A fall in the price of any good rotates the
budget constraint outward and changes the
slope of the budget constraint.
• Substitute the cheaper goods if price of one
goods increase relative to another
Figure 9 A Change in Price
Quantity
of Pepsi
0
1,000 D
500 B
100
A
I1
I2
Initial optimum
New budget constraint
Initial
budget
constraint
1. A fall in the price of Pepsi rotates
the budget constraint outward . . .
3. . . . and
raising Pepsi
consumption.
2. . . . reducing pizza consumption . . .
New optimum
Quantity of Pizza
Summary
• A consumer’s budget constraint shows the possible
combinations of different goods he can buy given his income
and the prices of the goods.
• The slope of the budget constraint equals the relative price of
the goods.
• The consumer’s indifference curves represent his preferences.
• Points on higher indifference curves are preferred to points on
lower indifference curves.
• The slope of an indifference curve at any point is the
consumer’s marginal rate of substitution.
• A consumer optimizes by choosing the point on his budget
constraint that lies on the highest indifference curve.
Summary
• When the price of a good falls, the impact on the
consumer’s choices can be broken down into an income
effect and a substitution effect.
The two effects of a price change:
• Income effect:
Normal good (+)
Inferior goods (-)
• Substitution effect
Happens as Price of Pepsi decreases, Pizza became
comparatively expensive
Consumer buy less Pizza and substituting it with Pepsi until
the optimizing condition is restored (-)

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Theory consumer choice

  • 2. Utility, Total Utility and Marginal Utility • In economics, the satisfaction or pleasure consumers derive from the consumption of goods is called “utility”. • Total utility is the total utility a consumer derives from the consumption of all units of a good over a given consumption period. • Marginal utility is the utility a consumer derives from the last unit of a good she or he consumes during a given consumption period. • Total utility = Sum of marginal utilities • The Law of Diminishing Marginal Utility Over a given consumption period, as more and more of a good is consumed by a consumer, beyond a certain point, the marginal utility of additional units begins to fall.
  • 3. Total Utility 0 50 100 150 200 1 2 3 4 5 6 7 8 9 10 11 Marginal Utility -20 -10 0 10 20 30 40 50 1 2 3 4 5 6 7 8 9 10 11 Q ($) TU ($) MU 0 0 1 40 40 2 85 45 3 120 35 4 140 20 5 150 10 6 157 7 7 160 3 8 160 0 9 155 -5 10 145 -10 145 How much ice cream does Jill buy in a month? Total and Marginal Utility for Ice Cream
  • 4. BUDGET CONSTRAINT: What a consumer can afford • The budget constraint depicts the limit on the consumption “bundles” that a consumer can afford. • People consume less than they desire because their spending is constrained by their income. • Budget constraint shows various combinations of goods the consumer can afford given his or her income and the prices of the two goods. • If a consumer wants to spend $ 1,000 on Pepsi and pizza, where price of Pepsi is $ 2 and Pizza is $10, then probable combinations would be:
  • 5. Probable combinations of Pepsi and Pizza under Budget Constraint
  • 6. Figure 1 The Consumer’s Budget Constraint Quantity of Pepsi 0 Consumer’s budget constraint 500 B 250 50 C 100 A Cannot be E E Quantity of Pizza
  • 7. • Illustration of Figure 1 (Consumer’s Budget Constraint) • For example, if the consumer buys no pizzas, he can afford 500 pints of Pepsi (point B). If he buys no Pepsi, he can afford 100 pizzas (point A). • Alternately, the consumer can buy 50 pizzas and 250 pints of Pepsi (point C). • But the consumer cannot go out of the inner boundary of budget line (point E). • Any point on the budget line indicates the consumer’s combination or tradeoff between two goods • The slope of the budget line equals the relative price of the two goods, that is, the ratio of price of one good compared to the price of the other. • It measures the rate at which a consumer trade a good for other
  • 8. PREFERENCES: What a consumer wants • A consumer’s preference among consumption bundles may be illustrated with indifference curves. • An indifference curve is a curve that shows consumption bundles that give the consumer the same level of satisfaction
  • 9. Figure 2 The Consumer’s Preferences Quantity of Pepsi 0 Indifference curve,I1 I2 C B A D Quantity of Pizza
  • 10. Representing Preferences with Indifference Curves • The Consumer’s Preferences • The consumer is indifferent, or equally happy, with the combinations shown at points A, B, and C because they are all on the same curve. • The Marginal Rate of Substitution • The slope at any point on an indifference curve is the marginal rate of substitution. • It is the rate at which a consumer is willing to trade one good for another. • It is the amount of one good that a consumer requires as compensation to give up one unit of the other good.
  • 11. Figure 2 The Consumer’s Preferences Quantity of Pepsi 0 Indifference curve,I1 I2 1 MRS C B A D Quantity of Pizza MRS = MU (Piz) / MU (Pep) = Change in Pepsi/Change in Pizza
  • 12. Four Properties of Indifference Curves • Property 1: Higher indifference curves are preferred to lower ones. • Consumers usually prefer more of something to get. • Higher indifference curves represent larger quantities of goods than do lower indifference curves. • Property 2: Indifference curves are downward sloping. • A consumer is willing to give up one good only if he or she gets more of the other good in order to remain equally happy. • If the quantity of one good is reduced, the quantity of the other good must increase. • For this reason, most indifference curves slope downward.
  • 13. Copyright©2004 South-Western Figure 2 The Consumer’s Preferences Quantity of Pepsi 0 Indifference curve,I1 I2 C B A D Quantity of Pizza
  • 14. • Property 3: Indifference curves do not cross. • Points A and B should make the consumer equally happy. • Points B and C should make the consumer equally happy. • This implies that A and C would make the consumer equally happy. • But C has more of both goods compared to A. • Property 4: Indifference curves are bowed inward. • People are more willing to trade away goods that they have in abundance and less willing to trade away goods of which they have little. • These differences in a consumer’s marginal substitution rates cause his or her indifference curve to bow inward. Four Properties of Indifference Curves
  • 15. Figure 3 The Impossibility of Intersecting Indifference Curves Quantity of Pepsi 0 C A B Quantity of Pizza
  • 16. Figure 4 Bowed Indifference Curves Quantity of Pepsi 0 Indifference curve 8 3 A 3 7 B 1 MRS = 6 1 MRS = 1 4 6 14 2 Quantity of Pizza
  • 17. OPTIMIZATION: What the consumer chooses • Consumers want to get the combination of goods on the highest possible indifference curve. • However, the consumer must also end up on or below his budget constraint. The Consumer’s Optimal Choices • Combining the indifference curve and the budget constraint determines the consumer’s optimal choice.
  • 18. Figure 6 The Consumer’s Optimum Quantity of Pepsi 0 Budget constraint I1 I2 I3 Optimum A B MRS = MUPiz /MUPep= PPiz /PPep Quantity of Pizza
  • 19. The Consumer’s Optimal Choice • Consumer optimum occurs at the point where the highest indifference curve and the budget constraint are tangent. • The consumer chooses consumption of the two goods so that the marginal rate of substitution equals the relative price. • For Two-Good Rule MUPep $PPep --------- = ---------- MUPiz $PPiz
  • 20. How Changes in Income Affect the Consumer’s Choices • An increase in income shifts the budget constraint outward. • The consumer is able to choose a better combination of goods on a higher indifference curve. • Normal versus Inferior Goods • If a consumer buys more of a good when his or her income rises, the good is called a normal good (+) • If a consumer buys less of a good when his or her income rises, the good is called an inferior good (-).
  • 21. Figure 7 An Increase in Income Quantity of Pizza Quantity of Pepsi 0 New budget constraint I1 I2 2. . . . raising pizza consumption . . . 3. . . . and Pepsi consumption. Initial budget constraint 1. An increase in income shifts the budget constraint outward . . . Initial optimum New optimum
  • 22. Figure 8 An Inferior Good Quantity of Pepsi 0 Initial budget constraint New budget constraint I1 I2 1. When an increase in income shifts the budget constraint outward . . .3. . . . but Pepsi consumption falls, making Pepsi an inferior good. 2. . . . pizza consumption rises, making pizza a normal good . . . Initial optimum New optimum Quantity of Pizza
  • 23. How Changes in Prices Affect Consumer’s Choices • A fall in the price of any good rotates the budget constraint outward and changes the slope of the budget constraint. • Substitute the cheaper goods if price of one goods increase relative to another
  • 24. Figure 9 A Change in Price Quantity of Pepsi 0 1,000 D 500 B 100 A I1 I2 Initial optimum New budget constraint Initial budget constraint 1. A fall in the price of Pepsi rotates the budget constraint outward . . . 3. . . . and raising Pepsi consumption. 2. . . . reducing pizza consumption . . . New optimum Quantity of Pizza
  • 25. Summary • A consumer’s budget constraint shows the possible combinations of different goods he can buy given his income and the prices of the goods. • The slope of the budget constraint equals the relative price of the goods. • The consumer’s indifference curves represent his preferences. • Points on higher indifference curves are preferred to points on lower indifference curves. • The slope of an indifference curve at any point is the consumer’s marginal rate of substitution. • A consumer optimizes by choosing the point on his budget constraint that lies on the highest indifference curve.
  • 26. Summary • When the price of a good falls, the impact on the consumer’s choices can be broken down into an income effect and a substitution effect. The two effects of a price change: • Income effect: Normal good (+) Inferior goods (-) • Substitution effect Happens as Price of Pepsi decreases, Pizza became comparatively expensive Consumer buy less Pizza and substituting it with Pepsi until the optimizing condition is restored (-)