.
ECON 563
Managerial Economics
Module 5: The Nature of Industry
Copyright 2017 Montclair State University
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ECON 563
Managerial Economics
Module 5a: Brief Overview
Learning Objectives
(1) Calculate alternative measures of industry structure, conduct,
and performance, and discuss their limitations.
(2) Describe examples of vertical, horizontal, and conglomerate mergers, and explain the economic basis for each
type of merger.
(3) Explain the relevance of Herfindahl-Hirschman index for
antitrust policy under the horizontal merger guidelines.
Learning Objectives
(4) Describe the structure-conduct-performance paradigm,
the feedback critique, and their relation to the five forces
framework.
(5) Identify whether an industry is best described as perfectly competitive, a monopoly, monopolistically competitive, or an oligopoly.
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ECON 563
Managerial Economics
Module 5b: Market Structure
Market Structure
Market structure factors that impact managerial decisions :
• Number of firms competing in an industry.
• Relative size of firms (concentration).
• Technological and cost conditions.
• Demand conditions.
• Ease of firm exit or entry.
Industry Concentration
Measures the size distribution of firms within an industry.
• Are there many small firms ?
• Are there only a few large firms ?
Measures of Industry Concentration
Measures the size distribution of firms within an industry.
Four-firm concentration ratio :
C4 =
S1 + S2 + S3 + S4
.
ST
Herfindahl-Hirschman index (HHI) :
HHI = 10000
)
N (
∑
Si 2
i=1
ST
.
Si denote the output of firm i ranked from 1 (largest) to N
(smallest) and ST being the industry aggregate output.
Example
Suppose an industry is composed of six firms. Four firms
have sales of $20 each, and two firms have sales of $10
each. What is the four-firm concentration ratio for this industry ? Four-firm concentration ratio :
ST = 20 × 4 + 10 × 2 = 100,
S1 = S2 = S3 = S4 = 20,
80
C4 =
= 0.80.
100
The four largest firms in the industry account for 80 percent
of total industry output.
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ECON 563
Managerial Economics
Module 5c: C4 and HHI Data
C4 and HHI for Selected US Industries
Industry
Breweries
Distilleries
Electronic Computers
Fluid Milk
Furniture and related products
Jewelry (excluding costumes)
Motor vehicles
Ready-mix Concrete
Source : Concentration Ratios 2007 US Bureau of the Census, 2012
C4 HHI
90 NA
70 1519
87 NA
46 1075
11
62
29 347
68 1744
23 313
C4 and HHI for Selected US Industries
Industry
Men's and Boys' cut and sewn apparel
Semi-conductor & other elec. comp.
Snack foods
Soap and cleaning compound
Soft drinks
Women's and girls' cut and sewn apparel
Source : Concentration Ratios 2007 US Bureau of the Census, 2012
C4 HHI
27 324
34 476
53 1984
47 848
52 891
20 174
Limitations of Concentration Measures
Factors that impact and limit industry concentration measures include :
• Global markets,
• National, regional and local markets,
• Industry definitions and product classes.
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ECON 563
Managerial Economics
Module 5d: Technology, Market
Conditions
Technology
Industries differ in regard to the technologies used to produce goods and services.
• Labor-intensive industries,
• Capital-intensive industries.
Within a given industry if the available technology is :
• the same, firms will likely have similar cost structures,
• different, one firm will likely have a cost advantage.
Demand and Market Conditions
Industries with
• low demand may imply few firms.
• high demand may imply many firms.
Elasticity of demand varies from industry to industry.
• The Rothschild index measures the sensitivity to price
of a product group as a whole relative to the sensitivity
of the quantity demanded of a single firm to a change
in its price.
• R = EET .
F
Example
The industry elasticity of demand for airline travel is -4.
The elasticity of demand for an individual carrier is -5.
What is the Rothschild index for this industry ?
Rothschild index =
−4
= 0.80.
−5
Rothschild Index
Industry
Food
Tobacco
Textiles
Apparel
Paper
eT
-1.0
-1.3
-1.5
-1.1
-1.5
eT
-3.8
-1.3
-4.7
-4.1
-1.7
R
0.26
1.00
0.32
0.27
0.88
Source : Mathew D Shapiro "Measuring Market Power in US Industry", NBER WP No. 2212, 1987
Rothschild Index
Industry
Printing & publishing
Chemicals
Petroleum
Rubber
Leather
eT
-1.8
-1.5
-1.5
-1.8
-1.2
eT
-3.2
-1.5
-1.7
-2.3
-2.3
R
0.56
1.00
0.88
0.78
0.52
Source : Mathew D Shapiro "Measuring Market Power in US Industry", NBER WP No. 2212, 1987
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ECON 563
Managerial Economics
Module 5e: Entry, Market Power
Potential for Entry
Optimal decisions by firms in an industry will depend on the
ease with which new firms can enter the market.
Several factors can create barriers to entry (or make entry
difficult).
• Capital requirements,
• Patents,
• Economies of scale.
Lerner Index
A measure of the difference between price and marginal
cost as a fraction of the product's price.
L=
P − MC
.
P
(
)
1
Rearranging this equation yields P = 1−L
M C, where
(
)
1
1−L is the markup factor over marginal costs.
Example
A firm in the airline industry has a marginal cost of $400 and
charges a price of $600.
The Lerner index is
L=
P − MC
600 − 400
1
=
= .
P
600
3
The markup factor is
(
Markup factor =
1
1−L
)
(
=
1
1−
)
1
3
= 1.5
Lerner Index and Markup Factor Data
Industry Lerner Index Markup
Food
0.26
1.35
Tobacco
0.76
4.17
Textiles
0.21
1.27
Apparel
0.24
1.32
Paper
0.58
2.38
Source : Michael R Baye and Jay-Woo Lee (1990) ; Mathew D Shapiro (1987)
Lerner Index and Markup Factor Data
Industry
Lerner Index Markup
Printing & publishing
0.31
1.45
Chemicals
0.67
3.03
Petroleum
0.59
2.44
Rubber
0.43
1.75
Leather
0.43
1.75
Source : Michael R Baye and Jay-Woo Lee (1990) ; Mathew D Shapiro (1987)
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ECON 563
Managerial Economics
Module 5f: Integration and
Other Factors
Integration and Merger
Integration
• Uniting productive resources of firms.
• Can occur during the formation of a firm.
Merger
• Two or more existing firms "unite", or merge, into a single
firm.
Reasons for Merger
• Reduce transaction costs.
• Reap benefits of economies of scale and scope.
• Increase market power.
• Gain better access to capital markets.
Types of Integration
Vertical integration
• Various stages in the production of a single product are
carried out in a single firm.
Horizontal integration
• Merging two or more similar final products into a single
firm.
Conglomerate mergers
• Integration of two or more different product lines into a
single firm.
Research and Development
Expenditures made by firms (as % of sales) to gain a technological advantage, with the aim of acquiring a patent.
Firm
Industry
R&D
Bristol-Meyers Squibb Pharmaceuticals 19.7
Ford
Motor vehicle
4.1
Goodyear
Tires
2.0
Kellogg
Food
1.5
Proctor & Gamble
Cosmetics
2.5
Advertisement
Expenditures made by firms (as % of sales) to inform or
persuade consumers to purchase their products.
Firm
Industry
Advt
Bristol-Meyers Squibb Pharmaceuticals 4.9
Ford
Motor vehicle
3.2
Goodyear
Tires
2.6
Kellogg
Food
9.2
Proctor & Gamble
Cosmetics
11.7
Performance
Refers to the profits and social welfare that result in a given
industry
• Dansby-Willig Performance Index
• Ranks industries according to how much social welfare
would improve if the output in an industry were increased by a small amount.
Dansby-Willig Performance Index
Industry
Dansby-Willig Index
Food
0.51
Chemicals
0.67
Petroleum
0.63
Rubber
0.49
Textiles
0.38
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ECON 563
Managerial Economics
Module 5g: SCP Paradigm
Structure Conduct Performance
Structure :
• Factors like technology, concentration and market conditions.
Conduct :
• Individual firm behavior in the market. Behavior includes
pricing decisions, advertising decisions and R&D decisions, among other factors.
SCP Paradigm
Performance :
• Resulting profit and social welfare that arise in the market.
Structure-conduct-performance paradigm :
• Model that views these three aspects of industry as being
integrally related.
The Casual View
• Market structure “causes” firms to behave in a certain
way.
• … this behavior, or conduct, “causes” resources to be
allocated in certain ways.
• … this resource allocation leads to “good” or “bad” performance.
The Feedback Critique
• There is no one-way causal link among structure, conduct
and performance.
• Firm conduct can affect market structure.
• Market performance can affect conduct and market structure.
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ECON 563
Managerial Economics
Module 6: Competitive and
Monopolistic Markets
Copyright 2017 Montclair State University
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ECON 563
Managerial Economics
Module 6a: Brief Overview
Learning Objectives
(1) Identify the conditions under which a firm operates as
perfectly competitive, monopolistically competitive, or a
monopoly.
(2) Identify sources of (and strategies for obtaining) monopoly power.
(3) Apply the marginal principle to determine the profit maximizing price and output.
(4) Show the relationship between the elasticity of demand
for a firm’s product and its marginal revenue.
Learning Objectives
(5) Explain how long-run adjustments impact perfectly competitive, monopoly, and monopolistically competitive firms.
(6) Discuss the ramifications of each of these market structures on social welfare.
(7) Decide whether a firm making short-run losses should
continue to operate or shut down its operations.
Learning Objectives
(8) Illustrate the relationship between marginal cost, a competitive firm’s short-run supply curve, and the competitive industry supply.
(9) Explain why supply curves do not exist for firms that
have market power.
(10) Calculate the optimal output of a firm that operates two
plants and the optimal level of advertising for a firm that
enjoys market power.
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ECON 563
Managerial Economics
Module 6b: Perfectly Competitive
Industry
Perfect Competition
Perfectly competitive markets are characterized by :
• The interaction between many buyers and sellers that
are “small” relative to the market.
• Each firm in the market produces a homogeneous (identical) product.
• Buyers and sellers have perfect information.
• No transaction costs.
• Free entry into and exit from the market.
Perfect Competition
The implications of these conditions are :
• A single market price is determined by the interaction of
demand and supply.
• Firms earn zero economic profits in the long run.
P
Market demand in perfect competition
S
P�
D
0
Q
P
P�
0
Firm demand is perfectly elastic at P �
Df = P �
q
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ECON 563
Managerial Economics
Module 6c: Profit Maximization
Short-run Production Decision
Market structure factors that impact managerial decisions :
• The short run is a period of time over which some factors of production are fixed.
• To maximize short-run profits, managers must take as
given the fixed inputs (and fixed costs), and determine
how much output to produce by changing the variable
inputs.
$
Maximum Profit
�
occurs at output q �
TC
TR
�
0
q�
q
Competitive Firm's Demand
As we have seen in an earlier slide, the demand curve for a
competitive firm’s product is a horizontal line at the market
price.
This price is the competitive firm's marginal revenue.
Df = P = M R.
Competitive Output Rule
To maximize profits, a perfectly competitive firm produces
the output at which price equals marginal cost in the range
over which marginal cost is increasing.
P = M C(q).
Example
The cost function for a firm is C(q) = 5 + q 2 .
• If the firm sells output in a perfectly competitive market
and other firms in the industry sell output at a price of
$20, what price should the manager of this firm charge ?
The firm should sell output at the market price P � = 20.
• What level of output should be produced to maximize
profits ? P = M C(q) = 2q - 20 = 2q, or q � = 10.
• How much profit will be earned ?
�
= P q � − T C(q � ) = 20 × 10 − 5 − 102 = 95.
Short-Run Output Decision
• To maximize short-run profits, a perfectly competitive
firm should produce in the range of increasing marginal
cost where P = M C, provided that P � AV C.
• If P < AV C, the firm should shut down its plant to minimize it losses.
Short-Run Firm and Industry Supply Curves
The short-run supply curve for a perfectly competitive firm
is its marginal cost curve above the minimum point on the
AV C curve.
The Market Supply Curve
P
M Ci
Market Supply
9
0
1
500
Q
Long-Run Competitive Equilibrium
In the long run, perfectly competitive firms produce a level
of output such that
P = M C,
and
P = minimum of AC.
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ECON 563
Managerial Economics
Module 6d: Monopoly
Monopoly and Monopoly Power
Monopoly :
• A market structure in which a single firm serves an entire market for a good that has no close substitutes.
• Sole seller of a good in a market gives that firm greater
market power than if it competed against other firms.
Implication :
• Market demand curve is the monopolist’s demand curve.
• However, a monopolist does not have unlimited market
power.
P
Monopolist power constrained by demand
P0
Df = DM
P1
0
Q0
Q1
Q
Sources of Monopoly Power
• Economies of scale : exist whenever long-run average
costs decline as output increases.
• Diseconomies of scale : exist whenever long-run average costs increase as output increases - Not a source
of monopoly power.
• Economies of scope : exist when the total cost of producing two products within the same firm is lower than
when the products are produced by separate firms.
Sources of Monopoly Power
• Cost complementarity : exist when the marginal cost
of producing one output is reduced when the output of
another product is increased.
• Patents and other legal barriers.
P
Elasticity of Demand and Marginal Revenue
100
Elastic
Unit Elastic
Inelastic
0
50
100
Q
TR
Elasticity of Demand and Total Revenue
Unit Elastic
2500
Elastic
0
Inelastic
50
100
Q
Marginal Revenue and Elasticity
The monopolist’s marginal revenue function is
(
)
1+c
MR =
P,
c
where c is the elasticity of demand for the monopolist’s product and P is the price charged.
For P > 0,
• M R > 0 when c < −1.
• M R = 0 when c = −1.
• M R < 0 when −1 < c < 0.
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ECON 563
Managerial Economics
Module 6e: Monopoly Profit with Linear
Demand
Linear Demand and Marginal Revenue
Given a linear inverse demand function
P (Q) = a − bQ,
where a > 0 and b > 0, the associated marginal revenue is
M R(Q) = a − 2bQ.
An Example
Suppose the inverse demand function for a monopolist’s
product is given by
P (Q) = 100 − 2Q,
What is the maximum price per unit a monopolist can charge
to be able to sell 30 units ?
P (30) = 100 − 2(30) = $40.
What is marginal revenue when Q = 30 ?
M R(30) = 100 − 2(2)(30) = −$20.
Monopoly Output Rule
A profit-maximizing monopolist should produce the output,
QM , such that marginal revenue equals marginal cost :
(
)
(
)
M R QM = M C QM .
An Example of Monopoly Profit
Suppose the inverse demand function for a monopolist’s
product is given by P = 100 − 2Q and the cost function is
C(Q) = 100 + 20Q. Note M C(Q) = 20.
• Profit-maximizing output is found by solving :
M R = 100 − 4Q = 20 = M C, 4Q = 80 - QM = 20.
• The profit-maximizing price is :
P M = 100 − 2 × QM = 100 − 2 × 20 = 60.
• Maximum profit is
M
= T R − T C = 60(20) − 100 − 20(20) = $700.
Absence of a Supply Curve
• Firms operating in perfectly competitive markets deter-
mine how much output to produce based on price (P =
M C)
• Thus, a supply curve exists in perfectly competitive markets.
• A monopolist’s market power implies P > M R = M C.
• Thus, there is no supply curve for a monopolist, or in
markets served by firms with market power.
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ECON 563
Managerial Economics
Module 6f: Multi-plant Decision Rules
Multi-plant Decisions
• Often a monopolist produces output in different loca-
tions.
• Implications : manager has to determine how much output to produce at each plant.
Multi-plant Decisions
• Consider a monopolist producing output at two plants.
• The cost of producing Q1 units at plant 1 is C1 (Q1 ), and
the cost of producing Q2 units at plant 2 is C2 (Q2 ).
• When the monopolist produces a homogeneous product, the per-unit price consumers are willing to pay
for the total output produced at the two plants is P (Q),
where Q = Q1 + Q2 .
Multi-plant Decisions
• Let M R(Q) be the marginal revenue of producing a total
of Q = Q1 + Q2 units of output.
• Suppose the marginal cost of producing Q1 units of output in plant 1 is M C1 (Q1 ) and that of producing Q2 units
in plant 2 is M C2 (Q2 ).
• The profit-maximizing rule for the two-plant monopolist
is to allocate output among the two plants such that :
M R(Q) = M C1 (Q1 ) = M C2 (Q2 ).
Implications of Entry Barriers
• A monopolist may earn positive economic profits, which
in the presence of barriers to entry prevents other firms
from entering the market to reap a portion of those profits.
• Implication : monopoly profits will continue over time
provided the monopoly maintains its market power.
• Monopoly power, however, does not guarantee positive
profits.
Deadweight Loss of Monopoly
The consumer and producer surplus that is lost due to the
monopolist charging a price in excess of marginal cost.
P
Shaded area is dead weight loss of social welfare
MC
0
QM
QC
Q
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ECON 563
Managerial Economics
Module 6g: Monopolistic Competition
Monopolistic Competition
An industry is monopolistically competitive if :
• There are many buyers and sellers.
• Each firm in the industry produces a differentiated product.
• There is free entry into and exit from the industry.
Monopolistic Competition
• A key difference between monopolistically competitive
and perfectly competitive markets is that each firm produces a slightly differentiated product.
• Implication : products are close, but not perfect, substitutes.
• Therefore, firm’s demand curve is downward sloping
under monopolistic competition.
Profit-Maximization Rule for Monopolistic
Competition
• To maximize profits, a monopolistically competitive firm
produces Q� where its marginal revenue equals marginal cost.
• The profit-maximizing price is the maximum price per
unit that consumers are willing to pay for the output Q� .
• The profit-maximizing output, Q� , is such that M R(Q� ) =
M C(Q� ) and the profit-maximizing price is P � = P (Q� ).
Long-Run Equilibrium
If firms in monopolistically competitive markets earn shortrun
• profits, additional firms will enter in the long run to capture some of those profits.
• losses, some firms will exit the industry in the long run.
Long-Run Equilibrium
In the long run, monopolistically competitive firms produce
a level of output such that :
P > M C, and
P = AT C > Minimum of average cost.
The differentiated nature of products in monopolistically competitive markets implies that firms in these industries must
continually convince consumers that their products are better than their competitors.
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ECON 563
Managerial Economics
Module 7: Oligopolistic Markets
Copyright 2017 Montclair State University
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ECON 563
Managerial Economics
Module 7a: Brief Overview
Learning Objectives
(1) Explain how beliefs and strategic interaction shape optimal decisions in oligopoly environments.
(2) Identify the conditions under which a firm operates in a
Sweezy, Cournot, Stackelberg, or Bertrand oligopoly.
(3) Explain the ramifications of each type of oligopoly for
optimal pricing decisions, and firm profits.
Learning Objectives
(4) Apply reaction (or best-response) functions to identify
optimal decisions and likely competitor responses in oligopoly settings.
(5) Identify the conditions for a contestable market, and explain the ramifications for market power and the sustainability of long-run profits.
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ECON 563
Managerial Economics
Module 7b: Oligopoly Features
Conditions for Oligopoly
Oligopoly market structures are characterized by only a few
firms, each of which is large relative to the total industry.
• Typical number of firms is between 2 and 10.
• Products can be identical or differentiated.
Conditions for Oligopoly
An oligopoly market composed of two firms is called a duopoly.
• Oligopoly settings tend to be the most difficult to manage since managers must consider the likely impact
of his or her decisions on the decisions of other firms in
the market.
Sweezy Oligopoly : Characteristics
• There are few firms in the market serving many consu-
mers.
• The firms produce differentiated products.
• Each firm believes its rivals will cut their prices in response to a price reduction but will not raise their prices
in response to a price increase.
• Barriers to entry exist.
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ECON 563
Managerial Economics
Module 7c: Cournot Oligopoly
Cournot Oligopoly : Characteristics
• There are few firms in the market serving many consu-
mers.
• The firms produce either differentiated or homogeneous
products.
• Each firm believes rivals will hold their output constant
if it changes its output.
• Barriers to entry exist.
Cournot Oligopoly : Reaction Functions
Consider a Cournot duopoly.
• Each firm makes an output decision under the belief that
its rival will hold its output constant when the firm itself
changes its output level.
• Implication : Each firm’s marginal revenue is impacted
by the other firms output decision.
• The relationship between each firm’s profit-maximizing
output level is called a best-response or reaction function.
An Example of Reaction Function
Given a linear (inverse) demand function,
P = a − b(Q1 + Q2 )
and cost functions, C1 (Q1 ) = c1 Q1 and C2 (Q2 ) = c2 Q2 , the
reaction functions are
Q1 = r1 (Q2 ) =
a − c1 Q2
−
, and
2b
2
Q2 = r2 (Q1 ) =
a − c2 Q1
−
.
2b
2
Q2
Cournot Reaction Functions
QM
2
Q�2
0
Q�1
QM
1
Q1
Cournot Oligopoly : Equilibrium
A situation in which neither firm has an incentive to change
its output given the other firm’s output.
Cournot Oligopoly : Collusion
• Markets with only a few dominant firms can coordinate
•
•
•
•
to restrict output to their benefit at the expense of consumers.
Restricted output leads to higher market prices.
Such acts by firms is known as collusion.
Collusion, however, is prone to cheating behavior.
Since both parties are aware of these incentives, reaching collusive agreements is often very difficult.
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ECON 563
Managerial Economics
Module 7d: Stackelberg Oligopoly
Stackelberg Oligopoly : Characteristics
• There are few firms in the market serving many consu•
•
•
•
mers.
The firms produce either differentiated or homogeneous
products.
A single firm (the leader) chooses an output before all
other firms choose their outputs.
All other firms (the followers) take as given the output
of the leader and choose outputs that maximize profits
given the leader’s output.
Barriers to entry exist.
An Example of Reaction Function
Given a linear (inverse) demand function,
P = a − b(Q1 + Q2 )
and cost functions, C1 (Q1 ) = c1 Q1 and C2 (Q2 ) = c2 Q2 , the
follower sets output according to the reaction function
Q2 = r2 (Q1 ) =
a − c2 Q1
−
.
2b
2
and the leader’s output is
Q1 =
a + c2 − 2c1
.
2b
An Example
• Suppose the inverse demand function for two firms in a
homogeneous-product, Stackelberg oligopoly is given
by P = 100 − Q1 − Q2 and their costs are zero.
• Firm 1 is the leader, and firm 2 is the follower.
• In this example, a = 100, b = 1, c1 = c2 = 0.
• Firm 2's reaction function :
Q2 =
a − c2 Q1
100 Q1
−
=
−
= 50 − 0.5Q1 .
2b
2
2
2
An Example
• Firm 1’s output :
Q1 =
a + c2 − 2c1
100 + 0 − 2(0)
=
= 50.
2b
2
• Firm 2’s output :
Q2 = 50 − 0.5Q1 = 50 − 0.5(50) = 25.
• The market price :
P = 100 − (Q1 + Q2 ) = 100 − 50 − 25 = 25.
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ECON 563
Managerial Economics
Module 7e: Bertrand Oligopoly
Bertrand Oligopoly : Characteristics
• There are few firms in the market serving many consu•
•
•
•
mers.
Firms produce identical products at a constant marginal
cost.
Firms engage in price competition and react optimally
to prices charged by competitors.
Consumers have perfect information and there are no
transaction costs.
Barriers to entry exist.
Bertrand Oligopoly : Equilibrium
• The conditions for a Bertrand oligopoly imply that firms
in this market will undercut one another to capture the
entire market leaving the rivals with no profit.
• All consumers will purchase at the low-price firm.
• This “price war” would come to an end when the price
each firm charged equaled marginal cost.
• In equilibrium, P1 = P2 = M C and the socially efficient
level of output is sold.
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ECON 563
Managerial Economics
Module 7f: Oligopoly Example
An Example to Compare Oligopoly Models
• Suppose the inverse demand function for two firms in a
homogeneous-product oligopoly is given by P = 100 −
Q1 −Q2 and the cost function for each firm in this market
is identical, and given by Ci (Qi ) = 4Qi .
• Under these condition, the different oligopoly outputs,
prices and profits are examined.
• In this example, a = 100, b = 1, c1 = c2 = 4.
An Example to Compare Oligopoly Models
• The Cournot oligopoly reaction functions are :
Q2 =
a − c2 Q1
100 − 4 Q1
−
=
−
= 48 − 0.5Q1 ,
2b
2
2
2
Q1 = 48 − 0.5Q2
• These reaction functions can be solved for the equili-
brium output.
Q2 = 48 − 0.5Q1 = 48 − 0.5(48 − 0.5Q2 ) = 24 − 0.25Q2 .
An Example to Compare Oligopoly Models
• This implies Q2 = 32, Q1 = Q2 = 32 and Q = 64.
• Then P = 100−64 = 36 and 11 = 12 = 32×36−32×4 =
32 × 32 = 1024.
Comparing Oligopoly : Stackelberg
• The Stackelberg leader's output is
Q1 =
a + c2 − 2c1
100 + 4 − 2(4)
=
= 48.
2b
2
• Firm 2's output is
Q2 =
100 − 4 Q1
a − c2 Q1
−
=
−
= 48 − 0.5(48) = 24.
2b
2
2
2
Comparing Oligopoly : Stackelberg
• The market price :
P = 100 − (Q1 + Q2 ) = 100 − 48 − 24 = 28.
• The profits are
11 = 48 × 28 − 48 × 4 = 48 × 24 = 1152,
12 = 24 × 28 − 24 × 4 = 576.
Comparing Oligopoly : Bertrand
• Since P = M C, P = 4. Total output is Q = 100 − 4 = 96.
• Given symmetric firms, each firm gets half the market,
or 48 units.
• The profits are
11 = 12 = 0.
Comparing Oligopoly : Collusion
• Since the output associated with collusion is the same
as monopoly output, the inverse market demand function implies that monopoly marginal revenue function
is :
M R = 100 − 2Q.
• Setting marginal revenue equal to marginal cost yields :
100 − 2Q = 4 - Q = 48.
Comparing Oligopoly : Collusion
• Each firm will produce half of these units, Q1 = Q2 = 24.
• Price P = 100 − 48 = 52.
• The profits are
11 = 12 = 52 × 24 − 4 × 24 = 48 × 24 = 1152.
Contestable Markets
They involve strategic interaction among existing firms and
potential entrants into a market.
A market is contestable if :
• All producers have access to the same technology.
• Consumers respond quickly to price changes.
• Existing firms cannot respond quickly to entry by lowering price.
• There are no sunk costs.
• If these conditions hold, incumbent firms have no market power over consumers.
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