When your best move depends on theirs
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 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?
| Structure | Number of firms | Must it watch rivals? |
|---|---|---|
| Perfect competition | Very many | No — each is too small to matter. |
| Monopolistic competition | Many | Barely — rivals are numerous and small. |
| Oligopoly | A few | Yes — each move visibly moves the others. |
| Monopoly | One | No — there are no rivals. |
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.
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 A | Hold high price (cooperate) | A: $10 B: $10 | A: $2 B: $14 |
| Cut price (cheat) | A: $14 B: $2 | A: $5 B: $5 NASH | |
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.
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.
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.
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?
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?
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.
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.
A two-airline pricing game
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).
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.
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.
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.
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.