24
Unit 4 · Market Power and Imperfect Competition

Imperfect Competition I:
Oligopoly, Cartels, and Collusion

When your best move depends on theirs

Chapter 24~ 50 min read

Two gas stations face each other across an intersection. Both post $3.40. Each owner knows that if they alone drop to $3.30, the cars will stream across the street and the day is theirs — until tomorrow morning, when the rival wakes up, sees the empty pumps, and drops to $3.25. By the weekend they are both at $3.05, busier than ever and earning less than when they started.

Neither owner is foolish. Each did the smart thing at every step. And yet, by following their own incentives one move at a time, they walked themselves into the outcome both least wanted.

How can two people, each acting rationally, arrive together at a result that is worse for both of them? That question is the whole chapter — and the answer rewrites what “rational” even means when someone is watching you back.

The big picture
When only a few firms share a market, none can choose its price in isolation — each one's best move depends on what the others will do. The outcome is set by interlocking incentives, not by a price the model reads off a curve. And here is the twist the rest of the chapter pays off: the same incentive that tempts rivals to cooperate is the one that keeps tearing cooperation apart.
Essential vocabulary — tap each card to reveal
Oligopoly
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A market dominated by a few firms, each large enough that its choices affect the others.
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Mutual interdependence
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When each firm's best decision depends on what its rivals decide — the defining feature of oligopoly.
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Dominant strategy
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A choice that is best for a player no matter what the other player does.
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Nash equilibrium
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An outcome where no player can do better by changing strategy alone, given what the others are doing.
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Prisoner's dilemma
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A game where each player's dominant strategy leads to an outcome that is worse for both than if they had cooperated.
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Collusion
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An agreement among rivals to limit competition, usually by keeping prices high. Often illegal.
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Also know — tap any term
cartelA formal group of firms that colludes to act like a single monopolist.payoff matrixA grid showing each player's reward for every combination of choices.tit-for-tatA repeated-game strategy: cooperate first, then copy whatever your rival just did.price warA spiral of mutual price cuts that erodes everyone's profit.game theoryThe study of choices when your payoff depends on what others choose.concentrationHow much of a market the largest few firms control.
Major concept 1

A Few Firms, Watching Each Other

The number of rivals is small enough to count — and that changes everything.

An oligopoly is a market run by a few firms: a handful of airlines on a route, a few wireless carriers, the two stations at the intersection. What makes it its own structure is not the headcount but the consequence of the headcount — mutual interdependence. When there are only a few sellers, each one is big enough that its move visibly moves the others. Drop your price and rivals feel it; raise it and they notice. You cannot pretend you are alone.

That single feature sets oligopoly apart from every structure so far. A monopolist could ignore rivals because it had none. A perfectly competitive firm could ignore rivals because there were too many to matter — one farmer's choice is a drop in the ocean. The oligopolist sits in the uncomfortable middle: few enough that each rival matters, too few to disappear into a crowd. So before it can choose anything, it has to ask a question the other structures never faced: what will they do if I do this?

StructureNumber of firmsMust it watch rivals?
Perfect competitionVery manyNo — each is too small to matter.
Monopolistic competitionManyBarely — rivals are numerous and small.
OligopolyA fewYes — each move visibly moves the others.
MonopolyOneNo — there are no rivals.
Quick checkWhy doesn't a wheat farmer worry about how neighbors will react to her planting decision, while an airline agonizes over a rival's fares?▸
The wheat farmer is one of thousands; her output can't move the market price, so rivals don't react to her. The airline is one of a few on its route, so its fare change is large enough that rivals notice and respond. Interdependence is a feature of few, not of small.
Major concept 2

Strategic Behavior: Your Best Move Depends on Theirs

Once you have to anticipate a rival, you are no longer setting a price. You are playing a hand.

This book has run on one idea since the first chapter: people respond to incentives. Oligopoly is where that idea folds back on itself. Your incentive now depends on your rival's incentive, which depends on yours. You can't read your best move off a cost curve, because the payoff to cutting your price is enormous if the rival holds steady and ruinous if the rival cuts too. The decision is strategic: it has to account for a thinking opponent who is, at this very moment, accounting for you.

Think back to the two gas stations. Holding the high price together is comfortable and profitable. But each owner can see a private prize: undercut while the other holds, and capture the whole street. That temptation is not a flaw in their character; it is the structure of their incentives. And because both owners see the same prize, both reach for it, and the comfortable outcome collapses into the price war neither wanted. To reason about this clearly — to see why rational moves lead somewhere irrational — we need a tool built exactly for interdependent incentives.

Why a new tool
Supply-and-demand curves assume a firm reacts to a price. In an oligopoly a firm reacts to another firm's decision — and that firm is reacting back. For interlocking choices like these, economists reach for game theory and its central picture, the payoff matrix.
Major concept 3

The Payoff Matrix and the Prisoner's Dilemma

One small grid holds the whole logic. Read it carefully and the price war becomes inevitable on paper.

A payoff matrix lays out every combination of choices and the reward each player gets. Two firms, two choices each — hold the high price (cooperate) or cut it (cheat) — give four outcomes. Read each cell as the profit to Firm A and the profit to Firm B.

Firm B
Hold high price
(cooperate)
Cut price
(cheat)
Firm AHold high price
(cooperate)
A: $10
B: $10
A: $2
B: $14
Cut price
(cheat)
A: $14
B: $2
A: $5
B: $5
NASH
Fig 23.1A pricing game. Each cell shows daily profit ($000s) to Firm A and Firm B. Green is the cooperative outcome both prefer; amber is where their incentives actually land them.

Now find each firm's best response. Look at Firm A. If B holds the high price, A earns $10 by holding but $14 by cutting — cutting wins. If B cuts, A earns $2 by holding but $5 by cutting — cutting wins again. Cutting is better for A no matter what B does, so it is A's dominant strategy. The game is symmetric, so cutting is B's dominant strategy too.

Both cut. The outcome is the bottom-right cell, $5 each — a Nash equilibrium, because neither firm can improve by changing its own choice while the other keeps cutting. Yet both firms would earn $10 in the top-left cell if they could just both hold. That gap — rational individual choices producing a worse shared outcome — is the prisoner's dilemma. It is the most important idea in this chapter, and it reaches far past gas stations: arms races, overfishing, doping in sports, and climate negotiations all share its shape.

Worked exampleSolving the game in three steps
  1. Find A's best response to each of B's moves. B holds → A cuts ($14 > $10). B cuts → A cuts ($5 > $2). A's dominant strategy: cut.
  2. Find B's best response to each of A's moves. By symmetry, B's dominant strategy: cut.
  3. The cell where both dominant strategies meet is the Nash equilibrium. Both cut → ($5, $5).
Nash equilibrium: both cut, $5 each. The cooperative ($10, $10) is better for both but unreachable when each can privately gain by cheating.
What we're leaving out, on purpose
Economists model oligopoly many ways — Cournot (firms pick quantities), Bertrand (firms pick prices), the kinked-demand curve, sequential games with a first mover. Each captures a different slice of reality. At this level the payoff matrix carries the essential logic without the machinery; the others are refinements you would meet in a later course.
Retrieval practiceIn your own words, why is the prisoner's dilemma outcome a Nash equilibrium even though both players dislike it?▸

Because at that outcome, neither player can do better by changing strategy alone. Given that your rival is cutting, you still earn more by cutting than by holding. Both would prefer to cooperate, but neither can move there unilaterally without being exploited — so the bad outcome is stable.

Major concept 4

Cartels, and Why They Fall Apart

A cartel is just the top-left cell, written into an agreement. The dilemma is what keeps erasing it.

If competition drives firms to the bad $5 cell, the obvious fix — for the firms, not for consumers — is to agree to sit in the good $10 cell. That agreement is collusion, and a formal version is a cartel: rivals coordinating to behave like a single monopolist, splitting the monopoly profit. In most places this is illegal precisely because it recreates monopoly harm without monopoly's occasional justifications.

But notice what the payoff matrix already told us: the cooperative cell is not a Nash equilibrium. The instant both firms agree to hold the high price, each one faces the same private temptation — cut a little, capture the street, jump from $10 to $14 while the partner is still playing nice. Every member of a cartel has, built into the deal, a personal incentive to break it. That is why cartels are chronically unstable. The same incentive that makes cooperation attractive is the incentive that detonates it.

So why do some cartels last? Because the gas-station story repeats. When the same firms meet day after day, cheating today invites retaliation tomorrow. A simple strategy — tit-for-tat: cooperate, then do whatever your rival just did — turns the long-run incentive around. Cheat once and you trade a single big day for a lasting price war. When the future matters enough, the threat of retaliation can hold the high price together. This is why the answer to “does oligopoly end in cooperation or in a price war?” is, honestly, it depends on the game — on how many firms, how visible their moves, how patient they are, how often they meet. Oligopoly has no single predicted outcome, and that indeterminacy is itself the finding.

Quick checkA cartel sets a high price and every member agrees. What is each member's immediate incentive, and what does it imply for the cartel's stability?▸
Each member's immediate incentive is to cheat — cut price slightly and capture extra sales while the others hold. Since every member faces that same incentive, cartels tend to be unstable and break down, unless repeated interaction and the threat of retaliation make cheating unprofitable over time.
AP Micro practice

The moves you can now make

Reading a 2×2 game is the core AP oligopoly skill — dominant strategy, Nash equilibrium, and the dilemma. Try each before revealing.

Identify

In a 2×2 pricing game, Firm X earns more by advertising than by not advertising whether or not Firm Y advertises. What do we call X's “advertise” choice, and how did you know?

Reveal answer▸

A dominant strategy — it is X's best choice regardless of what Y does. You confirm it by checking X's payoff against both of Y's moves and seeing that “advertise” wins in each.

Reasoning

If both firms have a dominant strategy, where is the Nash equilibrium, and why is it stable?

Reveal answer▸

At the cell where both dominant strategies meet. It is stable because neither firm can improve by switching alone — each is already doing its best given the other's choice, so no one has a reason to move.

Application

Two firms collude to hold a high price. Explain why the agreement is fragile in a one-time game but can survive if the firms interact repeatedly.

Reveal answer▸

In a one-shot game each firm's dominant strategy is to cheat, so the high price unravels immediately. With repetition, cheating today triggers retaliation tomorrow; if firms are patient enough, the long-run loss from a price war outweighs the one-time gain from cheating, so cooperation can hold.

FRQ practice

A two-airline pricing game

Suggested time: 10 minutes · 8 points

Two airlines, Air A and Air B, each choose a High fare or a Low fare. Daily profits ($000s) are: both High → (12, 12); A High, B Low → (4, 16); A Low, B High → (16, 4); both Low → (6, 6), written (Air A, Air B).

  1. Does Air A have a dominant strategy? Identify it and justify. 1 pt
  2. Does Air B have a dominant strategy? Identify it and justify. 1 pt
  3. Identify the Nash equilibrium. 1 pt
  4. Identify the outcome that maximizes their combined profit. 1 pt
  5. Explain why that joint-best outcome is not the Nash equilibrium. 1 pt
  6. Explain why this game is a prisoner's dilemma. 1 pt
  7. Explain why repeated play could let the airlines sustain the high fare. 1 pt
  8. State one reason the outcome of a real oligopoly is hard to predict. 1 pt
Reveal scoring guide▸
  • 1 ptA's dominant strategy is Low: 16 > 12 if B is High, 6 > 4 if B is Low.
  • 1 ptB's dominant strategy is Low, by the same comparison (symmetry).
  • 1 ptNash equilibrium: both Low, (6, 6).
  • 1 ptCombined profit is maximized at both High, (12, 12), totaling 24.
  • 1 ptFrom both High, each firm can gain by switching to Low (12 → 16), so it isn't stable.
  • 1 ptEach firm's dominant strategy (Low) yields an outcome worse for both than cooperating (6 each vs. 12 each).
  • 1 ptRepetition lets cheating be punished later; if firms value the future enough, the threat of retaliation makes cooperation worthwhile.
  • 1 ptAny valid reason: outcomes depend on the number of firms, how visible moves are, patience, and how often firms interact — there is no single predicted result.
Market thesis

When a few firms share a market, the outcome is decided by interlocking incentives rather than by any single price — and the very incentive that makes cooperation tempting is the one that keeps pulling it apart.


If economists ruled the world…

every cartel would collapse on its members' own incentive to cheat — and the ones that didn't would tell us something is quietly holding them together, and send us looking for what.

Positive
what economists agree on
  • Oligopoly is defined by mutual interdependence: each firm's best move depends on its rivals'.
  • In a one-shot prisoner's dilemma, cutting is the dominant strategy and the Nash equilibrium — worse for both than cooperating.
  • Repeated play and credible retaliation can sustain cooperation that a single round cannot.
Normative
what citizens must decide
  • Where is the line between lawful matching of a rival and illegal collusion?
  • If outcomes are genuinely indeterminate, should regulators lean toward more scrutiny or less?
  • When is the cooperation we'd applaud between friends the cooperation we'd prosecute between firms?

Takeaways
In your life

In any relationship you'll be in again tomorrow, your willingness to retaliate is what makes cooperation possible. Spend that credibility carelessly and you fall back into the outcome nobody wanted.

In your work

If you're matching a rival's every price move, you're stuck in the dilemma. The lawful way out isn't to coordinate prices — it's to compete on something they can't instantly copy, so you're no longer playing the same losing game.

Next
That completes Unit 4's tour of market structures — every degree of competition from the single seller to the crowded field to the strategic few. But each chapter rested on a quiet assumption: that the firms and their customers are rational optimizers, weighing costs and benefits and choosing well. The next chapter pulls that floor out. Real people are predictable in ways the model doesn't expect — and that reopens nearly everything: behavioral economics.
Learn more
Marginal Revolution University
Cartels and the Prisoner's Dilemma
Marginal Revolution University · why cooperation among rivals keeps breaking down · Pairs with Concepts 3–4

Khan Academy
Oligopolies and game theory
Khan Academy / AP Micro · reading a payoff matrix, dominant strategy, and Nash equilibrium · Pairs with Concept 3

Khan Academy
Prisoners' dilemma and Nash equilibrium
Khan Academy / AP Micro · the dilemma worked through step by step · Pairs with Concept 3