Microéconomie, chapter 4cermsem.univ-paris1.fr/davila/teaching/SBS/Ch04_Pindyck...31 Solvay...
Transcript of Microéconomie, chapter 4cermsem.univ-paris1.fr/davila/teaching/SBS/Ch04_Pindyck...31 Solvay...
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Individual and market demand
Microéconomie, chapter 4
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Plan of the talk
Individual demand
Income effect and substitution effect
Market demand
Consumer’s surplus
Network externalities
Empirical estimation of demand
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Individual demand
Changes in prices: The effect of a change in prices can be seen
with the help pf the indifference curves For any given price, the individual demand
for each good is determined by his indifference curves and the budget line
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Impact of changes in prices
For each price, a different quantity of food is demanded 5
U3
D
4
U2
B
12 20
assume: • R = €20 • Pc = €2 • Pf = €2, €1, €0,50
food
clothes
6 A
U1
4
10
40 10
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Impact of changes in prices
The price-consumption curve is drawn by the consumer’s choice as the price of the good changes
4
U2
B
12 20
5
U3
D
food
clothes
6 A
U1
4
10
Price-consumption curve
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Impact of changes in prices
The change of the consumer’s choice as the price of a good changes gives the consumer’s individual demand
In the previous example:
Demand curve
P Q
€2,00 4
€1,00 12
€0,50 20
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Impact of changes in prices
Individual demand curve
The individual demand curve gives the quantity he wants to buy at each price
food
Price of food
H
E
G
€2,00
4 12 20
€1,00
€0,50
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Individual demand curve: important properties
Utiltiy changes along the demand curve At each point on the curve the consumer
maximizes his utility making equal the MRS of food to clothes and the relative price of food in terms of clothes
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Impact of changes in prices
food
Price of food
H
E
G
€2,00
4 12 20
€1,00
€0,50 Individual demand curve
• E: Pf /Pc = 2/2 = 1 = MRS • G: Pf /Pc = 1/2 = 0,5 = MRS • H: Pf /Pc = 0,5/2 = 0,25 = MRS
As the price decreases, Pf /Pc and MRS decrease also
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Individual demand
Changes in income The impact of changes in income can be
seen with the help of the indifference curves A change in income, at constant prices,
changes the consumer’s choice
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Impact of changes in income
food
clothes
For each level of income, a different bundle of goods is purchased
3
4
A U1
5
10
B U2
D 7
16
U3
Assume: • Pf = €1 • Pc = €2 • I = €10, €20, €30
20 30
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Impact of changes in income
food
clothes The income expansion path is drawn by the consumer’s
choice as his income changes
3
4
A U1
5
10
B U2
D 7
16
U3
Income expansion path
20 30
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Impact of changes in income
food
Price of food An increase in income from €10 to €20 and to €30, at constant prices, shifts in general the individual demand curve outwards
€1,00
4
D1
E
10
D2
G
16
D3
H
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Individual demand
Changes in income When the income-expansion path is
positively sloped: Demand increases as income increases The income-elasticty of the demand is positive The good is a normal good
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Individual demand
Changes in income When the income-consumption path is
negative: Demand decreases as income increases The income-elasticty of the demand is negative The good is an inferior good
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Inferior goods
potatoes
meat
30
U3
C
Income expansion path
…but potatoes become an inferior good between
B and C
10 5
A U1
5
20
10
B
U2
Meat and potatoes behave as normal goods between
A and B...
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Individual demand
Engel curve The Engel curve gives for each level of
income the quantity of the good demanded For a normal good the Engel curve is
increasing For an inferior good the Engel curve is
decreasing
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Engel curve
food
30
10
income
20
4 8 12 16
For normal goods the Engel curve is
increasing
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Engel curve
For inferior goods the Engel curve bends
backwards
inferior
normal
food
30
10
income
20
4 8 12 16
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Household spending
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Substitutes and complements
Two goods as substitutes if an increase (decrease) of one good’s pice increases (decreases) the demand for the other good Ex: movie theater tickets and DVD rental
rates
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Substitutes and complements
Two goods are complements if an increase (decrease) of one good’s price can decrease (increase) the other goods demand E.g. gas and motor oil
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Substitutes and complements
Two goods are independent if changes in the price of one of them has no impact on the demand for the other good E.g. price of rice and air fares
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Substitutes and complements
If the price-consumption curve is decreasing, the two goods are substitutes
If the price-consumption curve is increasing, the two goods are complements
Two goods can be substitutes and complements at different ranges of prices
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Income effect and substitution effect
Changes in prices have two effects: A substitution effect An income effect
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Income effect and substitution effects
Substitution effect Changes in a monetary price varies the
relative price The consumer will tend to increase his
demand for the relatively cheaper good and decrease that of the relatively more expensive good
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Income effect and substitution effects
Income effect A decrease of a price increases the
consumer’s purchasing power
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Income effect and substitution effect
Substitution effect Change in the demand due to the change in
the relative price, i.e. keeping utilitiy constant A decrease in a price induces always a
substitution effect that tends to increase the demand for the good
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Income effect and substitution effect
Income effect Change in demand due to the change in the
purchasing power, i.e. keeping the relative price constant
When the consumer’s income his demand for a good may increase or decrease
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Income effect and substitution effect
Income effect For inferior goods, he income and
substitution effect go in opposite directions, but usually the substitution effect dominates
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Income and substitution effects: normal goods
food O
clothes
R
F1 S
C1 A
U1
Income effect from D to B: leaves the relative price unchanged but changes the purchasing power
Income effect
C2
F2 T
U2
B
As the price of food decreases, demand increases from F1 to F2
E Total effect
Substitution effect
D
Substitution effect from A to D: changes the relative price but leaves utility unchanged
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food O
R
clothes
F1 S F2 T
A
U1
E
Substitution effect
D
Total effect
Since food is an inferior good, the income effect
is negative. The substitution effect domintes nonetheless
B
Income effect
U2
Income and substitution effects: normal goods
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Income and substitution effects
A special case: Giffen goods In principle the income effect can be opposite
to the substitution effect and strong enough to dominate it so that the demand curve becomes increasing
This happens very rarely
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Market demand
Market demand curve Gives for each price the aggregate demand
of all consumers for a good It is the horizontal sum of all the individual
demand curves
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Market demand curve
price A B C Market demand
1 6 10 16 32
2 4 8 13 25
3 2 6 10 18
4 0 4 7 11
5 0 2 4 6
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Market demand curve
quantity
1
2
3
4
price
0
5
5 10 15 20 25 30
DB DC
Market demand
DA
The market demand curve is the horizontal sum
of all the individual demand curves
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Market demand
Price-elasticity of the demand The rate of change of demand with respect
to a change in the price, in percentage terms
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Market demand
Price-elasticity of the demand The rate of change of demand with respect
to a change in the price, in percentage terms
€
EP = %ΔQ%ΔP
=dQ/QdP/P
=dQdP
PQ
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Market demand
Price-elasticity of the demand The rate of change of demand with respect
to a change in the price, in percentage terms
€
EP = %ΔQ%ΔP
=dQ/QdP/P
=d(lnQ)d(lnP)
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Price-elasticity of the demand
Inelastic demand Ep is smaller than1 in absolute value Demand is relatively insensitive to changes
in the price |%ΔQ| < |%ΔP| Total spending (PxQ) increases as the price
increases
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Price-elasticity of the demand
Elastic demand Ep is bigger than 1 in absolute value Demand is relatively very sensitive to
changes in the price |%ΔQ| > |%ΔP| Total spending (PxQ) decreases as the price
increases
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Price-elasticity of the demand
demand As price increases, spending…
As price decreases, spending…
inelastic increases decreases
unit elastic doesn’t change doesn’t change
elastic decreases increases
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Price-elasticity of the demand
Isoelastic demand Price-elasticity is constant along the demand
curve The demand curve is convex towards the
origin (it cannot be linear)
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Total spending remains constant under an isoelastic demand: P1 x Q1 = P2 x Q2 = P3 x Q3
food
Price of food
P1
Q1
P2
Q2
P3
Q3
Price-elasticity of the demand
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For a linear demand, total spending first increases and then decreases as the price increases: P1 x Q1 < P2 x Q2 > P3 x Q3
food
Price of food
P1
Q1
P2
Q2
P3
Q3
Price-elasticity of demand
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Example: wheat aggregate demand
The demand for wheat has two parts: Domestic demand Exports demand
Total demand is obtained aggregating these two components
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Example: wheat aggregate demand
Domestic demand is relatively inelastic (e.g. Ed = -0.2)
Export demand is relatively elastic (e.g. Ed = -0.4) Importing countries can switch to other
cereals if the price of wheat increases
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C
D
Exports demand
Total demand is the horizontal sum of domestic demand AB
and exports demand CD
F
Total demand
A
B
Domestic demand
E
Example: wheat aggregate demand
wheat
price
0
10
16
18
Above C, export demand vanishes, so domestic demand = total demand = segment AE
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Consumer’s surplus
Consumers buy goods in order to improve their well-being
The consumer’s surplus measures this improvement
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Consumer’s surplus
consumer’s surplus The difference between what he is willing to
pay for a good and what he actually pays It can be computed using the demand curve
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The consumer’s surplus: Example
The individual demand curve expresses what the consumer is willing to pay for each unit of the good If for a price €20 he demands 1 unit, then he
is willing to pay for €20 this first unit If he gets this first unit for €14 then he
obtains a surplus of €6 This computation can be made for each unit
purchased The consumer’s surplus is the sum of all the
surpluses obtained from all units purchased
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The surplus from buying 6 units is the sum
of the surpluses obtained from buying each of them
Total surplus 6 + 5 + 4 + 3 + 2 + 1 = 21
Consumer’s surplus: Example
units
price
2 3 4 5 6
13
0 1
14 15 16 17 18 19 20
Market price
A 7th unit is not worth buying since its surplus is negative
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Consumer’s surplus
The stepwise demand curve can be smoothed using small enough units of measure
The consumer’s surplus is the area below the demand curve and above the market price
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Demand curve
Consumer’s surplus
Consumer’s surplus
units
price
2 3 4 5 6 0 1
Actual spending
14 15 16 17 18 19 20
Market price
CS = ½ (€20 - €14) x 6,5
= €19,5
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Use of consumer’s surplus
Producer’s surplus and profits allow to assess:
1. Pros and cons of different market structures 2. Policies intended to modify the consumers’
and firms’ decisions
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Network externalities
We have assumed implicitly that each consumer’s demand is independent of everybody else’s demand
For some goods individual demands are interdependent
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Network externalities
When individual demands are interdependent, there exist network externalities
Network externalities can be positive or negative
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Network externalities
A positive network externality exists when each individual demand increases whenever everybody else’s demand increases
A negative network externality exists when each individual demand decreases whenever everybody else’s demand increases
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Positive network externality
quantity
price D20
20
As the number of consumers in a network increases, individual demands shift outwards
40
D40
60
D60
80
D80
100
D100
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Positive network externality
quantity
price D20
20
As a result of a positive network externality market demand becomes relatively more elastic
40
D40
60
D60
80
D80
100
D100
Demand
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Positive network externality
quantity
price • If the price decreases from €30 to €20, the price effect increases demand from 40 to 55 • the positive network externality increses further the demand to 80
40
D40
60
D60
80
D80
100
D100
Demand
€30
D20
20 55
€20
Price effect
Positive externality
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Negative network externality
snobism: consumers look for «exclusive goods» The less a good is «popular», the more
some consumers will pay for it
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Negative network externalities
quantity
price
2
Demand
D2
€30,000
€15,000
14
Initial demand D2
4 6 8
D4
D6 D8
As the good becomes popular demand shifts from D2 to D6
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Empirical estimation of demand
Statistical approach It allows to measure the impact of prices and
income on demand The most propular method is ordinary least
squares
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Empirical estimation of demand
quantity
price
0 5 10 15 20 25
15
10
5
25
20
D
D represents the demand if ony P determines the quantity demanded, so that by OLS: Q=26-1,25P
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Empirical estimation of demand
quantity
price
0 5 10 15 20 25
15
10
5
25
20
D
d1
d2 d3
d1, d2, d3 represent the demand at three different levels of income, i.e. if Q = a - bP + cR, so that Q = 8,08 – 0,4P + 0,81R
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Empirical estimation of demand
Estimation of the elasticities For the equation: Q = a - bP
€
EP =ΔQΔP
PQ
= −b PQ
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Empirical estimation of demand
Estimation of the elasticities
For the equation:
-b = price-elasticity c = income elasticity €
Q = a Rc
Pb
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Empirical estimation of demand
Substitutes: b2 positive Complements: b2 négative
Substitutes and complements