Lecture 18 Review
Lecture 18 Review
Managerial Economics
Competiti
Aditya Shrinivas
Assistant Professor, Economics
1
2
Topic
Week 1-4 Week 5-9
Lecture 4: Elasticity
➢Elasticities: Own, Cross, Income
➢Determinants of own price elasticity
3
Individual Demand
Demand for good 𝒙 is given by
𝑫𝒙 = 𝒇(𝒑𝒙 , 𝑰, 𝒑𝒚 , 𝑻, 𝒑𝒆𝒙 )
Where
➢ 𝒑𝒙 : Price per unit of good 𝑥
➢ 𝑰 : Income
➢ 𝒑𝒚 : Price of related commodity 𝑦
➢ 𝑻 : Taste of the consumer
➢ 𝒑𝒆𝒙 : Expectations
4
Shifts in Demand
Price ➢ An increase in price of a
substitute
➢ A decrease in price of a
complement
➢ An increase in income (and
the good is normal)
➢ An decrease in income (and
the good is inferior)
Decrease Increase in ➢ Higher expected future
in demand demand price
➢ A decrease in price of a
substitute
➢ An increase in price of a
complement
➢ A decrease in income (and
the good is normal)
➢ An increase in income (and Quantity
the good is inferior)
➢ Lower expected future price
5
Supply
Individual supply of good 𝒙 is given by
𝒔𝒙 = 𝒇(𝒑𝒙 , 𝒑𝒚 , 𝒑𝑰 , 𝑻, 𝒑𝒆𝒙 )
Supply shifters
𝒑𝒚 : price of a related good y
𝒑𝑰 : price of input I
𝑻 : Technology
𝒑𝒆𝒙 : Expected future price of the product
6
Shifts in Supply Curve
➢ Decrease in price of inputs
Price per
➢ Decrease in price of a substitute
unit ➢ Increase in price of a
complement
➢ Decrease in expected future
Decrease prices
in supply ➢ Better technology
Increase in
supply
➢ Increase in price of inputs
➢ Increase in price of a substitute
➢ Decrease in price of a
complement
➢ Increase in expected future prices Quantity
➢ Natural calamities, pandemic, etc.
7
Simultaneous Shifts in Supply and
Demand
Simultaneous increase in demand and decrease in supply
S0
𝑝1 B
A
𝑝0
D1
D0
𝑞0 𝑞1 Quantity
8
Simultaneous Shifts in Supply and
Demand
9
Producer and Consumer surplus
Consumer
Price surplus
P
P0
0
Demand
Producer
surplus
Q0 Quantity
Price Elasticity of Demand
Own Price Elasticity (𝑬𝒑):
11
Price Elasticity of Demand
Inelastic Demand
% age change in quantity demanded < % age change in price , i.e.,
|∆ Q/Q| < |∆ p/p| → |Ep| < 1
Elastic Demand
% age change in quantity demanded > % age change in price , i.e.,
|∆ Q/Q| > |∆ p/p| → |Ep | > 1
12
Price Elasticity of Demand (Extreme)
Perfectly Inelastic Ep = 0 Perfectly elastic Ep = - ∞
Price (p)
TR = p × 𝑄
250
TR = 280 × 9
= Rs. 2520 Inelastic
demand curve
𝑝
Price (p) Ep = - 2.
𝑄
1 Ep = 0
2 4 6 8 Quantity (Q)
15
Determinants of Price Elasticity
16
Determinants of Price Elasticity
17
Determinants of Price Elasticity
➢ Expenditure share
➢ Small exp. share→ Inelastic
demand
➢ Time Horizon ➢ Large exp. share → Elastic
demand
Example?
18
Determinants of Price Elasticity
➢ Income elasticity
20
Income elasticity of demand
➢ If EI < 0 : It is inferior good
22
Review
Lecture 7-8: Externalities
➢When there are external costs (negative externalities) –
there is OVERUSE. Output should be reduced to maximize
social surplus
➢Government Solutions
➢Price Mechanism : Carbon Tax
➢Quantity regulation : Command and Control [Emission Standard]
➢Quantity mechanism : Cap and Trade
23
Externalities - Review
Market Scenario Positive/Negative Type
Externality
Crop burning Negative Production
24
Externalities - Review
NEGATIVE PRODUCTION EXTERNALITY
Price /Costs
Social cost
Deadweight
P1 External cost
Demand (Private)
Q1 Q0 Quantity of
Steel
25
Externalities - Review
External POSITIVE CONSUMPTION
benefit EXTERNALITY
Price /Costs
Social value
Deadweight
P1 Supply (Private costs)
P0
Q0 Q1 Quantity of
vaccines
26
Externalities - Review
Objective is to move from
Price /Costs point A (MPC=MB)
Efficient to point B (MSC=MB).
HOW?
Social cost (Marginal
Social costs)
B
P1
Supply (Marginal Private
A costs)
P0
Demand (Private)
Q1 Q0 Quantity of
Emissions
27
Externalities - Review
Govt solutions:
1. Price Mechanism : Carbon Tax
▪ Tax on each unit of carbon produced (Pigouvian tax)
28
Externalities - Review
COASE THEOREM :
2. Two assumptions:
➢Property rights are enforceable
➢Low transaction costs
29
Review
Lecture 9: Costs
➢Law of diminishing marginal returns
➢Shapes of short-run cost curves
➢Economies of scale
30
Decreasing marginal returns
𝑪𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒐𝒖𝒕𝒑𝒖𝒕 ∆𝒒
Marginal product of labor = =
𝑪𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒍𝒂𝒃𝒐𝒓 𝒊𝒏𝒑𝒖𝒕 ∆𝑳
Output.
MPL
Labor
31
Shape of Marginal Cost Curve
Rs.
MC
∆𝑇𝐶 𝑤
MC = ∆𝑄
= 𝑀𝑃
𝐿
Diminishing marginal
returns to variable
input
Q
32
Shape of Cost Curves
Column 1 Column2 Column 3 Column 4 Column 5 Column 6 Column 7 Column 8
Output Fixed cost Variable Total cost Average Average Average Marginal
(FC) cost (VC) (TC) fixed cost variable total cost cost
(AFC) cost (ATC) (MC)
(AVC)
0 50 0 50 - - - -
1 50 50 100 50 50 100 50
2 50 78 128 25 39 64 28
3 50 98 148 16.7 32.7 49.4 20
4 50 112 162 12.5 28 40.5 14
5 50 130 180 10 26 36 18
6 50 150 200 8.3 25 33.3 20
7 50 175 225 7.1 25 32.1 25
8 50 204 254 6.3 25.5 31.8 29
9 50 242 292 5.6 26.9 32.4 38
10 50 300 350 5 30 35 58
11 50 385 435 4.5 35 39.5 85
33
Shapes of Short-Run Cost Curves
Rs. TC = VC + FC
FC
▪ Total cost TC is the
VC
FC vertical sum of
fixed cost FC and
variable cost VC.
FC
Rs. AC AVC
MC
AFC
Q
34
Shapes of Short-Run Cost Curves
Rs. TC = VC + FC
FC
VC
FC
FC
Q
35
Average and Marginal Costs
Rs.
AC
MC
AVC
AFC
Q
36
Shapes of Short-Run Cost Curves
Rs. TC = VC + FC
FC
VC
FC
FC
Rs. AC AVC
MC
▪ MC intersects AC and AVC
curves at their minimum
points.
▪ The minimum point of the
ATC curve must lie above and
to the right of the minimum
point of the AVC curve.
Q
37
Economies of Scale
Rs. Rs.
LRAC
LRAC
Constant returns
to scale
Q Q
𝑄∗ 𝑄∗
Economies of Scale Diseconomies of Constant returns to Scale
Scale
Long-run average cost Long-run average cost Long-run average stays
decreases as output increases as output constant as output increases.
increases. increases.
38
Monopolist
Marginal revenue for a monopolist = ??
Marginal revenue = B – C
= p2 – (p1-p2)*Q
TR(Q) = p Q ; so MR= ?
P1
C Positive effect = B ; Negative effect = C
P2
A B
Q Q+1 Quantity
39
Demand and Marginal Revenue (MR) of a
Monopolist
Price ➢ Inverse demand curve
P=6–Q
➢ TR = P.Q = (6 - Q).Q
6
➢ Marginal Revenue curve
P = 6 – 2Q
5
➢ MR curve has twice the
4 slope of the demand curve.
2
Marginal
1 Revenue Demand
0 1 2 3 4 5 6 7 Output
40
How a Firm Uses Market Power to
Maximize Profits
➢ To maximize profit, produce at the output level such that:
MR = MC
➢ Same principle as that for a competitive firm.
➢ MR is not same as that for a competitive firm.
➢ A monopolist faces entire demand curve
➢ As a result, MR < Price
41
Profit Maximizing Choice
Price
MC
𝑄∗ : Profit maximizing
output
𝑃∗ 𝑃∗ : Profit maximizing
price
Lost
profit
Loss
Demand
MR
𝑄′′ 𝑄∗ 𝑄′ Output
42
Cost of Monopoly
Deadweight loss:
Price Price Value of consumer>MC
All gains
from trade
are realised
Supply MC
P∗
Pc Profit deadweight loss
Demand Demand
MR
Qc Output Q∗ Qc Output
43
Profit Maximizing Choice
Price
MC
AC
𝑃∗ ➢ 𝑄∗ : Profit maximizing output
Profit ➢ 𝑃∗ : Profit maximizing price
𝐶∗ ➢ Average cost = 𝐶 ∗
➢ Profit = 𝑃∗ . 𝑄∗ - 𝐶 ∗ . 𝑄∗
Demand
MR
𝑄∗ Output
44
What is Market Power?
The ability to profitably set price significantly above the marginal cost.
We say a firm has market power if it can charge a price above marginal
cost
45
Measuring Market Power
Big P∗
mark up
P∗
MC MC
Small Demand Demand
mark up MR
MR
Q∗ Output Q∗ Output
46
Post-midterm Review
Lecture 12-13: Price discrimination
➢Requirements of price discrimination are: market power, heterogeneity,
and no arbitrage condition.
➢First-degree price discrimination: Based on consumer’s willingness to pay.
➢ Second-Degree Price Discrimination: Based on quantity.
➢ Third-Degree Price Discrimination: Segmenting market based on an
observable characteristic.
➢Two-part pricing: charging a fixed fee plus a per unit charge.
➢ Versioning
▪ Offer high and lower quality products targeted for different consumer
segments depending on their willingness to pay.
▪ When to version: market Segmentation is strong
47
Post-midterm Review
Lecture 14 : Game Theory
➢Elements of a game : Pay-off matrix
➢Dominant Strategy
➢Nash Equilibrium
▪ Best response functions Emission Standard
48
Game theory Review
➢ Each cell corresponds to a
pair of actions, that is, to an
Players outcome of the game.
49
Game theory Review
Dominant Strategy
FIRM B
Advertise Don’t
Advertise
Advertise 10 , 5 15 , 0
FIRM A
Don’t
Advertise 6,8 20 , 2
52
Game Theory - Review
➢ Elements of a Game: Players, Actions, Timings and Payoffs.
53
Post-midterm Review
Lecture 15: Oligopoly I
➢Static Price competition : Bertrand Model
➢Static Quantity Competition : Cournot Model
Lecture 16 : Oligopoly II
➢Price competition with differentiated products
➢Repeated interactions : Collusion
54
Oligopoly - Review
➢Oligopoly : 2 or more firms (few firms)
55
Oligopoly - Review
Bertrand Competition Cournot Competition
Two firms suffice to reach a Price is less than monopoly price but
perfectly competitive equilibrium. greater than perfect competition
price.
56
Oligopoly - Review
Solving a Bertrand Model:
Assumptions
Players: Amazon (a) and Flipkart (f)
Identical product: Amazon and Flipkart sell identical products mostly
Strategic variable (continuous): Product price
Market demand: Q(p) = 100 – p
Constant marginal cost: Rs.4
No capacity constraints
One shot-game: Firms choose prices only once
57
Oligopoly - Review
Solving a Cournot Model:
Assumptions
Two cement manufacturers: Ultratech (u) and Ambuja (a).
Strategic variable (continuous): quantity of cement.
Identical products.
One-shot game: firms make output decisions only once and simultaneously.
Each cement manufacturer choose output level based on its expectation about
other firm's choice.
59
Oligopoly Review
➢ Price competition with differentiated products
▪ With differentiated products, each firm’s residual demand increases
in other firm’s price
▪ In equilibrium, each firm charges a price greater than the marginal
cost.
60
Oligopoly Review
Solving a Bertrand Model with differentiated products :
61
Asymmetric Info - Review
➢Asymmetric Info
▪ Some people have better information than other
➢Hidden Characteristics
▪ Characteristics that one party knows, but is unknown to the other party
▪ Leads to Adverse Selection
➢Adverse Selection :
▪ A situation resulting when products of different qualities are sold at a
single price because of asymmetric information, so that “too much”
of the “low-quality product” and “too little” of the “high-quality
product” are sold.
➢If the informed party correct the asymmetry : Signaling
▪ Education as a signal
62
Managerial Economics
THANK YOU!
63