Oligopoly Chapter Overview
Key Questions:
What outcomes are possible under oligopoly?
Why is it difficult for oligopoly firms to cooperate?
How can we use game theory to analyze the economics of cooperation?
How are antitrust laws used to foster competition?
Review of Market Structures
Concentration Ratio:
Measures a market’s domination by a small number of firms.
Defined as the percentage of total output in the market supplied by the four largest firms.
Most industries have a concentration ratio of less than 50%.
Some industries with greater than 90% concentration include:
Aircraft manufacturing
Tobacco
Passenger car rentals
Express delivery services
Four Types of Market Structure:
Monopoly: One firm (e.g., tap water, cable TV).
Oligopoly: Few firms (e.g., tennis balls, cigarettes).
Monopolistic Competition: Many firms, differentiated products (e.g., novels, movies).
Perfect Competition: Many firms, identical products (e.g., wheat, milk).
Oligopoly
Definition:
Market structure characterized by a small number of sellers offering similar or identical products.
Strategic Behavior in Oligopoly:
A firm’s decisions regarding price (P) or quantity (Q) can significantly impact other firms and elicit reactions.
Firms must consider other firms' reactions during decision-making.
Game Theory:
Study of strategic interactions where individuals or firms make decisions that take into account the actions of others.
Markets with Few Sellers
Oligopolists:
Maximize profit when cooperating (acting as a monopoly).
Strong incentives prevent maintenance of cooperative outcomes.
Duopoly:
A specific oligopoly with only two sellers.
Example 1: Gas Station Duopoly in Smallville
Situation:
Smallville has two gas stations: 7-Eleven and Casey’s (a duopoly).
Demand Schedule for Gasoline:
Price (P) and quantity demanded (Q) given in a table:
For instance, at $0, Q = 10,000 gallons; at $7, Q = 2,800 gallons.
Cost Analysis:
Each firm’s marginal cost (MC) = $1, fixed cost (FC) = $0.
Competitive outcome:
Price (P) = MC = $1, Q = 9,200, Profit = $0.
Monopoly outcome:
Price (P) = $7, Q = 4,400, Profit = $26,400.
Collusion
Definition:
Agreement among firms in a market regarding production quantities or pricing.
Cartel:
Group of firms acting together as a monopoly.
Active Learning 1: Collusion in Smallville
Scenario: Each gas station agrees to sell Q = 2,200 at P = $7 with profit = $13,200 each.
If Casey’s cheats on agreement (sells Q = 3,000):
Calculate new market price and Casey’s profit.
If both cheat (Q = 3,000 each):
Calculate profits under cheating scenario.
Active Learning 1: Answers
If both stick to agreement: Each earns $13,200.
If Casey’s cheats:
Market quantity = 5,200; Price (P) = $6; Casey’s profit = $15,000.
Yes, it is in Casey’s interest to cheat, as it yields higher profit.
If both cheat:
Market quantity = 6,000; Price (P) = $5; Profit = $12,000 each.
Collusion vs. Self-Interest
Observation:
Both firms benefit from collusion but are incentivized to cheat due to self-interest.
Lesson:
Forming and maintaining cartels is difficult for oligopoly firms.
Active Learning 2: Duopoly Equilibrium in Smallville
Scenario:
Firms sell Q = 3,000 at P = $5, profit = $12,000 each.
Decision on quantity increase to 3,800:
Calculate price and profit outcomes for both firms.
Active Learning 2: Answers
If Casey’s increases Q to 3,800:
Market Q = 6,800; P = $4; Casey’s profit = $11,400.
Lower profit at Q = 3,800 than at Q = 3,000, so firms should not increase quantity.
The Equilibrium for an Oligopoly
Nash Equilibrium:
A situation where all economic actors choose their best strategy given the choices of others.
In an oligopoly:
Firms produce a quantity greater than monopoly output but less than competitive output.
Price is more than the competitive price but less than monopoly price.
Output & Price Effects
Effects on profit from increasing output:
Output Effect: If $P > MC, increasing output increases profits.
Price Effect: Raising total quantity sold decreases price, ultimately reducing profits on all units sold.
Size of an Oligopoly
As the number of sellers increases:
Price effect diminishes.
Market resembles more competitive scenarios.
Price approaches marginal cost.
Market quantity approaches socially efficient quantity.
Market Share and Market Power
Market Share Statement:
A few firms holding a large market share indicates substantial market power.
The Economics of Cooperation
The Prisoners’ Dilemma:
Game illustrating difficulty in cooperation when mutually beneficial.
Dominant Strategy: A strategy that is optimal for a player regardless of opponents’ strategies.
Example 2: The Prisoners’ Dilemma
Scenario: Bonnie and Clyde are suspected robbers, presented with confession options:
Confessing leads to varying prison time depending on the choices made with regards to each other's confessions.
Outcome Analysis of the Game**
Dominant Strategy:
Both confess; Nash equilibrium exists in mutual confession.
Remark: Each would be better off remaining silent but self-interest prevails.
Oligopolies as a Prisoners’ Dilemma
Oligopolies forming cartels resemble the prisoners’ dilemma.
While aiming for monopoly profits, they face incentives to cheat due to self-interest.
Example 3: Casey’s and 7-Eleven: Prisoners’ Dilemma
Profit comparisons between collusion Q = 2,200 and cheating Q = 3,000 demonstrate firms' dominant strategy is to cheat.
Other Examples of the Prisoners’ Dilemma
Advertising Wars: Firms spending heavily on ads in efforts to outcompete, often canceling each other out.
OPEC Behavior: Attempts at cooperative production limits often undermined by members cheating.
Arms Race: Shared best interests for disarmament countered by a dominant strategy of arming.
Common Resource Overuse: Incentive to overuse shared resources rather than conserve.
Welfare of Society
Noncooperative-Oligopoly Equilibrium:
Negatively impacts oligopolists’ ability to achieve monopoly profits but may benefit society by approaching optimal pricing levels.
Active Learning Example: Go Fish on Lake Michigan
Comparative outcomes of two fishing companies demonstrate colluding and Nash equilibrium scenarios.
Example of Negative Campaign Ads
Election dynamics wherein both candidates suffer from their ads' cancels out appetite, affecting societal engagement.