Intermediate oligopoly

Kinked Demand and Price Rigidity

An oligopolist faces demand that is elastic above the going price and inelastic below it, because rivals match price cuts but not price rises. The kink makes marginal revenue jump, so a range of marginal costs all leave price unchanged.

Microeconomics Firm theory Intermediate Native JS Price theory to strategic interaction
Focus

The kinked demand curve, the discontinuous marginal-revenue gap, and price rigidity

See why oligopoly prices are sticky: the kink in demand opens a gap in marginal revenue, and any marginal cost inside the gap leaves price and output at the kink.

Interactive diagram

Kinked Demand — explore it instantly

Loads immediately, works on any phone, and is fully readable by search engines.

Kinked demand, the discontinuous marginal-revenue gap, and price rigidity An oligopolist faces demand that is elastic above the prevailing price and inelastic below it, so marginal revenue jumps down at the kink quantity. Any marginal cost passing through that gap leaves price and quantity unchanged. 0 3 7 10 14 17 0 4 8 12 16 19 Quantity (Q) Price / cost
Demand (kinked) Marginal revenue Marginal cost Firm's choice

How to read this

In an oligopoly each firm guesses how rivals react. If it raises its price, rivals hold theirs and it loses many customers — demand above the going price is elastic (flat). If it cuts its price, rivals match to defend share, so it gains few extra sales — demand below is inelastic (steep). Demand therefore kinks at the prevailing price.

Because the two demand segments have different slopes, their marginal-revenue curves don't meet: marginal revenue jumps down at the kink quantity, leaving a vertical gap. Whenever marginal cost passes through that gap, the profit-maximising output stays at the kink — so the firm leaves its price unchanged even as costs move. That is price rigidity.

Drag marginal cost up and down: inside the gap nothing happens, but push it out of the gap and the firm finally re-optimises — cutting output and raising price (cost above the gap) or expanding output and lowering price (cost below it).

What to explore

Change parameters and watch the model adjust.

  • Prevailing price and output at the kink
  • Demand slopes above and below the kink, and marginal cost

Core ideas

Interpret the mechanics before you chase the graphs.

  • Rivals match price cuts but ignore price rises, so demand is elastic above the kink and inelastic below it.
  • Different demand slopes give the two segments different marginal-revenue lines, leaving a vertical gap at the kink quantity.
  • Any marginal cost passing through the gap leaves the profit-maximising price and output unchanged — price rigidity.

Learning goals

What this model should help students internalize.

  • Explain why an oligopolist's demand curve kinks at the prevailing price.
  • Derive the discontinuous gap in marginal revenue from the two demand slopes.
  • Show how marginal cost can change within the gap without changing price or output.

Prerequisites

Concepts to review before diving in.

  • Linear demand and marginal-revenue intuition
  • Profit maximisation where marginal revenue equals marginal cost

Next models to study

Keep moving through the track.