The Theory of Consumer Choice
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PowerPoint Slides prepared by:
Andreea CHIRITESCU
Eastern Illinois University
Budget Constraint
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Figure 1
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The Consumer’s Budget Constraint
The budget constraint shows the various bundles of goods that the consumer can buy for a given income. Here the consumer buys bundles of pizza and Pepsi. The table and graph show what the consumer can afford if his income is $1,000, the price of pizza is $10, and the price of Pepsi is $2.
Figure 1
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© 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.
The Consumer’s Budget Constraint
The budget constraint shows the various bundles of goods that the consumer can buy for a given income. Here the consumer buys bundles of pizza and Pepsi. The table and graph show what the consumer can afford if his income is $1,000, the price of pizza is $10, and the price of Pepsi is $2.
Quantity
of Pepsi
Quantity of Pizza
0
Consumer’s
budget constraint
50
500
100
250
C
B
A
Preferences
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Figure 2
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The Consumer’s Preferences
The consumer’s preferences are represented with indifference curves, which show the combinations of pizza and Pepsi that make the consumer equally satisfied. Because the consumer prefers more of a good, points on a higher indifference curve (I2 here) are preferred to points on a lower indifference curve (I1). The marginal rate of substitution (MRS) shows the rate at which the consumer is willing to trade Pepsi for pizza. It measures the quantity of Pepsi the consumer must be given in exchange for 1 pizza.
Quantity
of Pepsi
Quantity of Pizza
0
Indifference curve, I1
I2
C
B
A
D
1
MRS
Preferences
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Figure 4
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© 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.
Bowed Indifference Curves
Indifference curves are usually bowed inward. This shape implies that the marginal rate of substitution (MRS) depends on the quantity of the two goods the consumer is consuming. At point A, the consumer has little pizza and much Pepsi, so he requires a lot of extra Pepsi to induce him to give up one of the pizzas: The marginal rate of substitution is 6 pints of Pepsi per pizza. At point B, the consumer has much pizza and little Pepsi, so he requires only a little extra Pepsi to induce him to give up one of the pizzas: The marginal rate of substitution is 1 pint of Pepsi per pizza.
Quantity of Pepsi
Quantity of Pizza
0
Indifference
curve
2
3
6
7
3
4
8
14
1
MRS=1
1
MRS=6
B
A
Preferences
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Figure 5
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© 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.
Perfect Substitutes and Perfect Complements
Nickels
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2
4
When two goods are easily substitutable, such as nickels and dimes, the indifference curves are straight lines, as shown in panel (a). When two goods are strongly complementary, such as left shoes and right shoes, the indifference curves are right angles, as shown in panel (b).
(a) Perfect Substitutes
Dimes
0
1
3
2
I1
I2
I3
Left
shoes
(b) Perfect Complements
Right
shoes
0
5
7
5
7
I2
I1
Optimization
= Relative price
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Figure 6
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© 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.
The Consumer’s Optimum
The consumer chooses the point on his budget constraint that lies on the highest indifference curve. At this point, called the optimum, the marginal rate of substitution equals the relative price of the two goods. Here the highest indifference curve the consumer can reach is I2. The consumer prefers point A, which lies on indifference curve I3, but the consumer cannot afford this bundle of pizza and Pepsi. By contrast, point B is affordable, but because it lies on a lower indifference curve, the consumer does not prefer it.
Quantity
of
Pepsi
Quantity
of Pizza
0
Budget constraint
I2
I1
I3
A
B
Optimum
Optimization
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Figure 7
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© 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license distributed with a certain product or service or otherwise on a password-protected website for classroom use.
An Increase in Income
When the consumer’s income rises, the budget constraint shifts out. If both goods are normal goods, the consumer responds to the increase in income by buying more of both of them. Here the consumer buys more pizza and more Pepsi.
Quantity
of Pepsi
Quantity of Pizza
0
New budget constraint
I2
I1
New optimum
Initial
budget
constraint
Initial optimum
1. An increase in income shifts the
budget constraint outward . . .
2. . . . raising pizza
consumption . . .
3. . . . and Pepsi consumption
Figure 9
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A Change in Price
When the price of Pepsi falls, the consumer’s budget constraint shifts outward and changes slope. The consumer moves from the initial optimum to the new optimum, which changes his purchases of both pizza and Pepsi. In this case, the quantity of Pepsi consumed rises, and the quantity of pizza consumed falls.
Quantity
of Pepsi
Quantity of Pizza
0
I2
I1
Initial
budget
constraint
1. A fall in the price of Pepsi rotates
the budget constraint outward. . .
2. . . . reducing pizza consumption
3. . . . and
raising Pepsi
consumption
New budget
constraint
New optimum
Initial optimum
A
100
B
500
D
1,000
Figure 10
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Income and Substitution Effects
The effect of a change in price can be broken down into an income effect and a substitution effect. The substitution effect—the movement along an indifference curve to a point with a different marginal rate of substitution—is shown here as the change from point A to point B along indifference curve I1. The income effect—the shift to a higher indifference curve—is shown here as the change from point B on indifference curve I1 to point C on indifference curve I2.
Quantity
of Pepsi
Quantity
of Pizza
0
I2
I1
Initial
budget
constraint
New budget
constraint
Initial optimum
A
New optimum
C
B
Substitution effect
Substitution
effect
Income effect
Income
effect
Figure 13
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The Work-Leisure Decision
This figure shows Sally’s budget constraint for deciding how much to work, her indifference curves for consumption and leisure, and her optimum.
Consumption
Hours of leisure
0
I2
I1
I3
$5,000
100
Optimum
60
2,000
Figure 14
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An Increase in the Wage (a)
Consumption
The two panels of this figure show how a person might respond to an increase in the wage. The graphs on the left show the consumer’s initial budget constraint, BC1, and new budget constraint, BC2, as well as the consumer’s optimal choices over consumption and leisure. The graphs on the right show the resulting labor-supply curve. Because hours worked equal total hours available minus hours of leisure, any change in leisure implies an opposite change in the quantity of labor supplied. In panel (a), when the wage rises, consumption rises and leisure falls, resulting in a labor-supply curve that slopes upward.
(a) For a person with these preferences . . .
Hours of Leisure
0
Wage
. . . the labor supply curve slopes upward.
Hours of Labor
Supplied
0
Labor supply
I2
I1
BC2
BC1
A
B
1. When the wage rises . . .
2. . . . hours of leisure decrease . . .
3. . . . and hours of labor increase
Income effects on labor supply
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