Oligopoly Notes

Oligopoly

  • Oligopoly: A market with a small group of firms and substantial barriers to entry. Examples include Nintendo, Microsoft, and Sony.
  • Cartel: A group of firms that explicitly agree to coordinate their activities (e.g., OPEC).
  • Monopolistic competition: Firms have market power, but no additional firm can enter and earn positive profits (e.g., restaurants).

Market Structures

  • Markets differ based on:
    • Number of firms.
    • Ease of entry and exit.
    • Ability to differentiate products.

Comparison of Market Structures

  • Monopoly:
    • Number of firms: 1
    • Entry conditions: No entry
    • Long-run profit: ≥0
    • Ability to set price: Price setter
    • Price level: Very high
    • Strategy dependent on individual rival firms’ behaviour: No (has no rivals)
    • Products: Single product
    • Example: Local natural gas utility
  • Oligopoly:
    • Number of firms: Few
    • Entry conditions: Limited entry
    • Long-run profit: ≥0
    • Ability to set price: Price setter
    • Strategy dependent on individual rival firms’ behaviour: Yes
    • Products: May be differentiated
    • Example: Automobile manufacturers
  • Monopolistic Competition:
    • Number of firms: Few or many
    • Entry conditions: Free entry
    • Long-run profit: 0
    • Ability to set price: Price setter
    • Price level: High
    • Strategy dependent on individual rival firms’ behaviour: Yes
    • Products: May be differentiated
    • Example: Books, restaurants
  • Perfect Competition:
    • Number of firms: Many
    • Entry conditions: Free entry
    • Long-run profit: 0
    • Ability to set price: Price taker
    • Price level: Low
    • Strategy dependent on individual rival firms’ behaviour: No (cares about market price only)
    • Products: Undifferentiated
    • Example: Apple farmers

Cartels

  • Oligopolistic firms have an incentive to form cartels to collude on prices or quantities to increase profits.
  • Examples include: OPEC and Canadian Federation of Quebec Maple Syrup Producers.
  • Cartels form if members believe coordination will increase profits.

Competition vs. Cartel

  • The diagrams illustrate the differences in price and quantity outcomes between competitive and cartelized markets, showing how cartels restrict output to raise prices.

Why Cartels Fail

  • Cartels fail if noncartel members can supply consumers with large quantities of goods.
  • Each member has an incentive to cheat on the cartel agreement.

Laws Against Cartels

  • Sherman Antitrust Act (1890) and Federal Trade Commission Act (1914) prohibit firms from explicitly agreeing to reduce competition.
  • Cartels persist because:
    • International cartels and cartels in some countries operate legally.
    • Some illegal cartels believe they can avoid detection or penalties are insignificant.
    • Some firms coordinate activity without explicit collusion.

Maintaining Cartels

  • Cartels must be able to:
    • Detect cheating and punish violators.
    • Keep illegal behavior hidden from customers and government agencies.

Wage Cartel Example

  • Google, Apple, Intel, and Adobe settled an anti-poaching class action, resolving claims they agreed not to hire each other’s employees, violating U.S. antitrust laws.

Cournot Oligopoly

  • Duopoly: An oligopoly with two firms.
  • Models:
    • Cournot: Firms simultaneously choose quantities without colluding.
    • Stackelberg: A leader firm chooses its quantity, and followers independently choose theirs.
    • Bertrand: Firms simultaneously and independently choose prices.

Cournot Model Assumptions

  • Firms are identical with the same cost functions and produce undifferentiated products.
  • Duopoly (two firms) example.
  • The market lasts for only one period; firms choose quantity or price once.

Nash Equilibrium

  • A set of actions is a Nash equilibrium if no firm can obtain a higher profit by choosing a different action, holding other firms' actions constant.

Duopoly Nash-Cournot Equilibrium

  • Cournot equilibrium: Quantities sold by firms such that no firm can obtain a higher profit by choosing a different quantity, holding other firms' quantities constant.

Airlines Market Example

  • Market demand: Q = 339 - p (p = price, Q = total quantity).
  • Each airline has a constant marginal cost (MC) and average cost (AC) of $147 per passenger.
  • Residual demand American faces:p = 339 - qA - qU
  • Marginal revenue function: MRA = 339 - 2qA - q_U
  • American Airlines’ best response: 339 - 2qA - qU = 147 \Rightarrow qA = 96 - \frac{1}{2}qU
  • United’s best-response function: qU = 96 - \frac{1}{2}qA
  • In equilibrium: qA = 64, qU = 64, Q = 128, Price = $211.

Equilibrium, Elasticity, and Number of Firms

  • Profit-maximizing condition: \frac{p - MC}{p} = -\frac{1}{n\epsilon}
    • n = number of firms
    • \epsilon = market elasticity of demand
  • If n = 1, the firm is a monopoly.
  • As n grows large, the residual demand elasticity approaches negative infinity, and p = MC, which is the profit-maximizing condition of a price-taking competitive firm.
  • Lerner Index: \frac{p - MC}{p} = - \frac{1}{n\epsilon}

Nash-Cournot Equilibrium Varies with Number of Firms

  • Table shows how firm output, market output, price, market elasticity, residual demand elasticity, and Lerner Index change with the number of firms.
  • As the number of firms increases:
    • Firm output decreases.
    • Market output increases.
    • Price decreases.
    • Elasticities become more elastic (more negative).
    • Lerner Index decreases.