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Cournot's Model

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Topics

Estimated time: 12 minutes
  • Introduction to Cournot Duopoly Model
  • Formula: General Oligopoly
  • Assumptions
  • Diagrammatic Representation
  • Real-Life Application
  • Key Points: Cournot's Model
CISCE: Class 12

Introduction to Cournot Duopoly Model

  • Developed by: Augustin Cournot (French economist), 1838
  • Purpose: First formal model to explain duopoly (2-firm market)
  • Key Result: Each firm supplies 1/3 of market demand, 1/3 remains unsupplied
CISCE: Class 12

Formula: General Oligopoly

Q + (n + 1)
where  Q = market size and n = number of sellers.

CISCE: Class 12

Assumptions

Assumption Meaning
Two firms Only firms A and B compete
Zero MC Marginal cost = 0 for both
Linear demand Constant negative slope demand curve
Fixed rival reaction Each assumes competitor won't change output
Profit maximization Both firms aim to maximize profits
Homogeneous product Identical products, same price
CISCE: Class 12

Diagrammatic Representation

  1. Firm A Starts Alone: Supplies 1/2 market (OQ) at price OP₂ where MR=MC=0. Profit: shaded rectangle.
  2. Firm B Enters: Assumes A fixed at 1/2. Takes 1/2 of remaining (1/4 total) at OP₁. Price drops.
  3. A Reacts: Assumes B fixed at 1/4. Takes 1/2 of remaining 3/4 (=3/8).
  4. B Reacts: Assumes A at 3/8. Takes 1/2 of remaining 5/8 (=5/16).
  5. Equilibrium: Process repeats until both supply 1/3 each. 1/3 market unsupplied.

Stage A's Share B's Share Total Supplied Price Effect
A  Alone 1/2 0 1/2 High (OP₂)
B Enters 1/2 1/4 3/4 Falls (OP₁)
A  Adjusts 3/8 1/4 5/8 Lower
Equilibrium 1/3 1/3 2/3 Stable

Examples:

  • 3 firms → each 1/4, total 3/4 supplied
  • 4 firms → each 1/5, total 4/5 supplied
CISCE: Class 12

Real-Life Application

Indian Telecom Market:

  • Airtel (A) dominated → Jio (B) entered
  • Each assumed rival would keep capacity fixed
  • Result: Equal market shares, lower tariffs, some rural areas unserved
CISCE: Class 12

Key Points: Cournot's Model

  • Cournot’s model explains duopoly, where two firms independently decide output assuming the rival will not react.
  • Each firm aims to maximise profit with zero marginal cost and identical demand conditions.
  • Through successive adjustments, both firms reach equilibrium where each supplies one-third of the market at the same price.
  • This equilibrium shows mutual interdependence and applies to oligopoly markets as well.

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