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OLIGOPOLY:Duopoly Example, Price Competition

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Microeconomics ­ECO402
VU
Lesson 40
OLIGOPOLY
Characteristics
­ Small number of firms
­ Product differentiation may or may not exist
­ Barriers to entry
Examples
­ Automobiles
­ Steel
­ Aluminum
­ Petrochemicals
­ Electrical equipment
­ Computers
The barriers to entry are:
­ Natural
·  Scale economies
·  Patents
·  Technology
·  Name recognition
­ Strategic action
·  Flooding the market
·  Controlling an essential input
Management Challenges
­ Strategic actions
­ Rival behavior
Question
­ What are the possible rival responses to a 10% price cut by an automobile company?
Equilibrium in an Oligopolistic Market
­ In perfect competition, monopoly, and monopolistic competition the producers did not
have to consider a rival's response when choosing output and price.
­ In oligopoly the producers must consider the response of competitors when choosing
output and price.
­ Defining Equilibrium
·  Firms doing the best they can and have no incentive to change their output or price
·  All firms assume competitors are taking rival decisions into account.
Nash Equilibrium
­ Each firm is doing the best it can given what its competitors are doing.
The Cournot Model
­ Duopoly
·  Two firms competing with each other
·  Homogenous good
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Microeconomics ­ECO402
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·  The output of the other firm is assumed to be fixed
Firm 1's Output Decision
If Firm 1 thinks Firm 2 will
produce nothing, its demand
P1
D1(0)
curve, D1(0), is the market
demand curve.
If Firm 1 thinks Firm 2 will produce
50 units, its demand curve is
shifted to the left by this amount.
If Firm 1 thinks Firm 2 will produce
75 units, its demand curve is
MR1(0)
shifted to the left by this amount.
D1(75)
MR1(75)
MC1
What is the output of Firm 1
MR1(50)
D1(50)
if Firm 2 produces 100 units?
12.
5
25
Q1
The Reaction Curve
­ A firm's profit-maximizing output is a decreasing schedule of the expected output of Firm
2.
Firm 1's reaction curve shows how much
Q1
it will produce as a function of how much
it thinks Firm 2 will produce. The x's
100
correspond to the previous model.
Firm 2's reaction curve shows how
much itwill produce as a function of
75
how much
Firm 2's Reaction
Curve Q*2(Q2)
In Cournot equilibrium,
50 x
each firm correctly
Cournot
assumes how much its
Equilibrium
competitors will produce
x
and thereby maximize its
25
Firm 1's Reaction
own profits.
x
Curve Q*1(Q2)
x
Q2
25
50
75
100
Questions
1) If the firms are not producing at the Cournot equilibrium, will they adjust until the Cournot
equilibrium is reached?
2) When is it rational to assume that its competitor's output is fixed?
The linear Demand Curve
­  An Example of the Cournot Equilibrium
· Duopoly
Market demand is P = 30 - Q
where Q = Q1 + Q2
MC1 = MC2 = 0
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Microeconomics ­ECO402
VU
Duopoly Example
The demand curve is P = 30 -
3
Q and
Q1
Firm 2's
both firms have 0 marginal
Reaction
cost.
Curve
Cournot
1
1
Firm 1's
Reaction
Q2
1
1
3
Profit Maximization with Collusion
­  Collusion Curve
· Q1 + Q2 = 15
­Shows all pairs of output Q
and Q2 that maximizes total profits
1
· Q1 = Q2 = 7.5
­Less output and higher profits than the Cournot equilibrium
The demand curve is P = 30 -
3
Q and
Q1
Firm 2's
both firms have 0 marginal
Reaction Curve
cost.
Cournot
1
E
ilib i
1
Firm 1's
Reaction
Curve
Q2
1
1
3
0
First Mover Advantage- The Stackelberg Model
Assumptions
­ One firm can set output first
­ MC = 0
­ Market demand is P = 30 - Q where Q = total output
­ Firm 1 sets output first and Firm 2 then makes an output decision
Firm 1
­ Must consider the reaction of Firm 2
Firm 2
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Microeconomics ­ECO402
VU
Takes Firm 1's output as fixed and therefore determines output with the Cournot
­
reaction curve
Firm 1
­  Choose Q1 so that:
MR = MC, MC = 0 therefore MR = 0
R1 = PQ1 = 30Q1 - Q12 - Q2Q1
Conclusion
­ Firm 1's output is twice as large as
firm 2's
­ Firm 1's profit is twice as large as
firm 2's
Price Competition
Competition in an oligopolistic industry may occur with price instead of output.
The Bertrand Model is used to illustrate price competition in an oligopolistic industry with
homogenous goods.
Bertrand Model
­  Assumptions
· Homogenous good
Market demand is P = 30 - Q where
Q = Q1 + Q2
·
·
MC = $3 for both firms and MC1 = MC2 = $3
­  Assumptions
· The Cournot equilibrium:
P = $12
š for both firms = $81
· Assume the firms compete with price, not quantity.
­  How will consumers respond to a price differential?
·  The Nash equilibrium:
­P = MC; P = P = $3
1
2
­Q = 27; Q & Q = 13.5
1
2
­š = 0
Price Competition with Differentiated Products
­ Market shares are now determined not just by prices, but by differences in the design,
performance, and durability of each firm's product.
Differentiated Products
­  Assumptions
· Duopoly
· FC = $20
· VC = 0
Firm 1's demand is Q1 = 12 - 2P1 + P2
·
· Firm 2's demand is Q2 = 12 - 2P1 + P1
­P
and P2 are prices firms 1 and 2 charge respectively
1
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Microeconomics ­ECO402
VU
­Q
and Q2 are the resulting quantities they sell
1
Nash Equilibrium in Prices
P1
Firm 2's Reaction Curve
Collusive Equilibrium
$6
$4
Firm 1's Reaction Curve
Nash Equilibrium
P2
$6
$4
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Table of Contents:
  1. ECONOMICS:Themes of Microeconomics, Theories and Models
  2. Economics: Another Perspective, Factors of Production
  3. REAL VERSUS NOMINAL PRICES:SUPPLY AND DEMAND, The Demand Curve
  4. Changes in Market Equilibrium:Market for College Education
  5. Elasticities of supply and demand:The Demand for Gasoline
  6. Consumer Behavior:Consumer Preferences, Indifference curves
  7. CONSUMER PREFERENCES:Budget Constraints, Consumer Choice
  8. Note it is repeated:Consumer Preferences, Revealed Preferences
  9. MARGINAL UTILITY AND CONSUMER CHOICE:COST-OF-LIVING INDEXES
  10. Review of Consumer Equilibrium:INDIVIDUAL DEMAND, An Inferior Good
  11. Income & Substitution Effects:Determining the Market Demand Curve
  12. The Aggregate Demand For Wheat:NETWORK EXTERNALITIES
  13. Describing Risk:Unequal Probability Outcomes
  14. PREFERENCES TOWARD RISK:Risk Premium, Indifference Curve
  15. PREFERENCES TOWARD RISK:Reducing Risk, The Demand for Risky Assets
  16. The Technology of Production:Production Function for Food
  17. Production with Two Variable Inputs:Returns to Scale
  18. Measuring Cost: Which Costs Matter?:Cost in the Short Run
  19. A Firm’s Short-Run Costs ($):The Effect of Effluent Fees on Firms’ Input Choices
  20. Cost in the Long Run:Long-Run Cost with Economies & Diseconomies of Scale
  21. Production with Two Outputs--Economies of Scope:Cubic Cost Function
  22. Perfectly Competitive Markets:Choosing Output in Short Run
  23. A Competitive Firm Incurring Losses:Industry Supply in Short Run
  24. Elasticity of Market Supply:Producer Surplus for a Market
  25. Elasticity of Market Supply:Long-Run Competitive Equilibrium
  26. Elasticity of Market Supply:The Industry’s Long-Run Supply Curve
  27. Elasticity of Market Supply:Welfare loss if price is held below market-clearing level
  28. Price Supports:Supply Restrictions, Import Quotas and Tariffs
  29. The Sugar Quota:The Impact of a Tax or Subsidy, Subsidy
  30. Perfect Competition:Total, Marginal, and Average Revenue
  31. Perfect Competition:Effect of Excise Tax on Monopolist
  32. Monopoly:Elasticity of Demand and Price Markup, Sources of Monopoly Power
  33. The Social Costs of Monopoly Power:Price Regulation, Monopsony
  34. Monopsony Power:Pricing With Market Power, Capturing Consumer Surplus
  35. Monopsony Power:THE ECONOMICS OF COUPONS AND REBATES
  36. Airline Fares:Elasticities of Demand for Air Travel, The Two-Part Tariff
  37. Bundling:Consumption Decisions When Products are Bundled
  38. Bundling:Mixed Versus Pure Bundling, Effects of Advertising
  39. MONOPOLISTIC COMPETITION:Monopolistic Competition in the Market for Colas and Coffee
  40. OLIGOPOLY:Duopoly Example, Price Competition
  41. Competition Versus Collusion:The Prisoners’ Dilemma, Implications of the Prisoners
  42. COMPETITIVE FACTOR MARKETS:Marginal Revenue Product
  43. Competitive Factor Markets:The Demand for Jet Fuel
  44. Equilibrium in a Competitive Factor Market:Labor Market Equilibrium
  45. Factor Markets with Monopoly Power:Monopoly Power of Sellers of Labor