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© 2009 Pearson Education Canada 4/1 Chapter 4 Chapter 4 More Demand Theory More Demand Theory

© 2009 Pearson Education Canada 4/1 Chapter 4 More Demand Theory

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© 2009 Pearson Education Canada4/1

Chapter 4Chapter 4

More Demand TheoryMore Demand Theory

© 2009 Pearson Education Canada4/2

The Law of DemandThe Law of Demand

The The law of demandlaw of demand implies an implies an inverse relationship between price inverse relationship between price and quantity demanded.and quantity demanded.

When the price and quantity of a When the price and quantity of a good are positively related, the good good are positively related, the good is called a is called a Giffen GoodGiffen Good..

© 2009 Pearson Education Canada4/3

Income and Substitution EffectsIncome and Substitution Effects

The The substitution effectsubstitution effect of a change of a change in pin p11 is associated with is associated with the relative the relative change in the pricechange in the price of good 1. of good 1.

The The income effectincome effect of a change in of a change in pp11

is associated with the is associated with the change in change in real real income.income.

© 2009 Pearson Education Canada4/4

Figure 4.1 A Giffen goodFigure 4.1 A Giffen good

© 2009 Pearson Education Canada4/5

Figure 4.2 Income and substitution Figure 4.2 Income and substitution effects for a price increaseeffects for a price increase

© 2009 Pearson Education Canada4/6

Figure 4.3 Income and substitution Figure 4.3 Income and substitution effects for a price decreaseeffects for a price decrease

© 2009 Pearson Education Canada4/7

Income and Substitution EffectsIncome and Substitution Effects

If indifference curves are smooth and If indifference curves are smooth and convex and if the consumer buys a convex and if the consumer buys a positive quantity of both goods, then the positive quantity of both goods, then the substitution effect is always negatively substitution effect is always negatively related to the price change.related to the price change.

For a For a normal goodnormal good, the income effect is , the income effect is negatively related to the price change.negatively related to the price change.

For an For an inferior goodinferior good, the income effect is , the income effect is positively related to the price change.positively related to the price change.

© 2009 Pearson Education Canada4/8

Compensatory IncomeCompensatory Income

After a price change, the minimum After a price change, the minimum income that allows the consumer to income that allows the consumer to attain the original indifference curve attain the original indifference curve is called the compensatory income.is called the compensatory income.

The budget line associated with the The budget line associated with the compensatory income is the compensatory income is the compensated budget linecompensated budget line..

© 2009 Pearson Education Canada4/9

Figure 4.4 The nonpositive Figure 4.4 The nonpositive substitution effectsubstitution effect

© 2009 Pearson Education Canada4/10

The Compensated Demand CurveThe Compensated Demand Curve

The The compensated demand curvecompensated demand curve identifies the consumer’s utility identifies the consumer’s utility maximizing bundle when, as a result maximizing bundle when, as a result of a price change, the consumer’s of a price change, the consumer’s income is adjusted to keep him/her income is adjusted to keep him/her on the same indifference curve.on the same indifference curve.

The compensated demand curve The compensated demand curve reflects the substitution effect and reflects the substitution effect and cannot be upward sloping.cannot be upward sloping.

© 2009 Pearson Education Canada4/11

Figure 4.5 The compensated demand curveFigure 4.5 The compensated demand curve

© 2009 Pearson Education Canada4/12

Compensating and Equivalent VariationCompensating and Equivalent Variation

Equivalent variationEquivalent variation identifies the identifies the variation in income that is equivalent variation in income that is equivalent to being able to buy good x at a to being able to buy good x at a given price.given price.

Compensating variationCompensating variation identifies identifies the variation in income that the variation in income that compensates for the right to buy compensates for the right to buy good x at a given price.good x at a given price.

© 2009 Pearson Education Canada4/13

Figure 4.8 Measuring the benefit of a new goodFigure 4.8 Measuring the benefit of a new good

© 2009 Pearson Education Canada4/14

From Figure 4.8 From Figure 4.8 Mr. Polo’s non-member initial Mr. Polo’s non-member initial

equilibrium is Eequilibrium is E0 0 on Ion I00.. Equilibrium as a member is EEquilibrium as a member is E1 1 on Ion I11.. Equivalent variation is EV. With no Equivalent variation is EV. With no

membership, this additional income membership, this additional income would yield indifference curve Iwould yield indifference curve I11..

Compensating variation is CV. Given Compensating variation is CV. Given that he is a member, this reduction in that he is a member, this reduction in income yields indifference curve Iincome yields indifference curve I0.0.

© 2009 Pearson Education Canada4/15

Figure 4.9 Measuring the cost of a price changeFigure 4.9 Measuring the cost of a price change

© 2009 Pearson Education Canada4/16

From Figure 4.9From Figure 4.9

Low price of PLow price of P11 gives equilibrium of E gives equilibrium of E0 0

on Ion I00..

Equilibrium with higher price of PEquilibrium with higher price of P11 is is at Eat E1 1 on Ion I11..

With a lower price, reducing income With a lower price, reducing income by EV yields Iby EV yields I11..

With a higher price, increasing With a higher price, increasing income by CV would yield Iincome by CV would yield I00..

© 2009 Pearson Education Canada4/17

Figure 4.10 The case in which CV equals EVFigure 4.10 The case in which CV equals EV

© 2009 Pearson Education Canada4/18

Figure 4.11 Figure 4.11 Consumer’s surplusConsumer’s surplus for a new good for a new good

© 2009 Pearson Education Canada4/19

Figure 4.12 Consumer’s surplus Figure 4.12 Consumer’s surplus for a price reductionfor a price reduction

© 2009 Pearson Education Canada4/20

Figure 4.13 Marginal values and Figure 4.13 Marginal values and marginal rates of substitutionmarginal rates of substitution

© 2009 Pearson Education Canada4/21

Figure 4.14 Figure 4.14 Total valueTotal value and marginal value and marginal value

© 2009 Pearson Education Canada4/22

Figure 4.15 Equal marginal valuesFigure 4.15 Equal marginal values

© 2009 Pearson Education Canada4/23

Application: Two Part TariffApplication: Two Part Tariff

What combination of camera price What combination of camera price (p(pcc) and film price (p) and film price (p11) maximize ) maximize profits?profits?

The cost of producing a camera is $5, The cost of producing a camera is $5, the cost of making film is 1$.the cost of making film is 1$.

The firm’s profit maximizing strategy The firm’s profit maximizing strategy is to sell the film at cost and charge is to sell the film at cost and charge the corresponding reservation price the corresponding reservation price for the camera, area GAF (Fig 4.16).for the camera, area GAF (Fig 4.16).

© 2009 Pearson Education Canada4/24

Figure 4.16 The Polaroid pricing problemFigure 4.16 The Polaroid pricing problem

© 2009 Pearson Education Canada4/25

Figure 4.17 The Paasche quantity indexFigure 4.17 The Paasche quantity index

© 2009 Pearson Education Canada4/26

Paasche Quantity IndexPaasche Quantity Index

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© 2009 Pearson Education Canada4/27

Laspeyres Quantity IndexLaspeyres Quantity Index

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© 2009 Pearson Education Canada4/28

Price IndicesPrice Indices

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© 2009 Pearson Education Canada4/29

Figure 4.18 An index-number puzzleFigure 4.18 An index-number puzzle