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🤑AP Microeconomics Unit 4 Review

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4.5 Oligopoly and Game Theory

🤑AP Microeconomics
Unit 4 Review

4.5 Oligopoly and Game Theory

Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 examWritten by the Fiveable Content Team • Last updated September 2025
🤑AP Microeconomics
Unit & Topic Study Guides
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What is an Oligopoly?

Brief note before we get started! This section is oftentimes one of the trickiest for students because there aren't really any good graphs or pictures. Instead, we study oligopolies more mathematically using the tools of game theory and good old fashioned intuition. While there is one graph, it's not required for the AP Exam and instead of just a good learning tool. The AP Exam loves giving oligopoly problems, but they only really exist in one form, game theory problems.

An oligopoly is an imperfect market structure where the industry is dominated by a few, large firms. Some good examples of the types of industries that fall in this type of market structure are the cereal industry, oil industry, and automobile industry. Unlike monopolistic competition, there are high barriers and instead of many firms, there are only a couple firms.

Fun Fact! This comes from the Greek oligos for few and the suffix -poly, referring to a market or selling. Hence. oligo-poly, oligopoly! Same reasoning can be applied to a mono- for one, poly: monopoly! Isn't Econ fun? It's fun right? I swear it's fun.

There are two types of oligopolies that can exist:

  1. Colluding oligopolies, otherwise known as cartels - the firms communicate with each other and act as one unit

  2. Non-colluding oligopolies that practice what we refer to as price leadership - the firms compete and do not work together

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more resources to help you study

Characteristics of Oligopolies

  • Few, large firms - in an oligopoly, there are only a few firms (often less than 10). For example, there are only 3 or 4 major cellular networks: Verizon, T-Mobile, Sprint, and AT&T. There are a few other small ones, but these four companies run roughly the entire market.
  • Firms are "price makers" - oligopolistic firms experience a degree of market power, so they can control the price somewhat. We'll discuss this more in the context of competition and price leadership as opposed to graphing
  • High barriers to entry means firms cannot enter the industry - oligopolies are hinged on the fact that they're small markets with few firms. If there were low barriers it is likely the market would turn into something resembling monopolistic competition
  • Firms earn long-run profits - we won't be calculating profit for an oligopoly, but in general, because of market power, it is likely that an oligopolistic firm earns profits in both the short-run and long-run
  • Products sold are differentiated with many close substitutes - this is because
  • Non-price competition is used - this is the big piece of oligopolies. Unlike other markets, the actions of other firms affect the other firms! This is because there are so few firms, so one action by one firm can affect much more of the market. We'll turn to the tools of game theory to figure out how this non-price competition works.
  • Firms are inefficient if left unregulated - Because price is not equal to marginal cost (necessarily), we are inefficient.

Game Theory

Game theory is the study of how people behave in strategic situations. With the oligopoly market structure, we use a payoff matrix to apply this concept. First, let's look at the fundamentals of game theory and then we'll move into payoff matrices, strategy, and Nash Equilibria.

What is a Game?

In game theory, a game is any set of circumstances that has a result dependent on the actions of two or more decision-makers. In essence, a game is any situation where your actions impact other peoples' actions. This can include what we consider "games" like board games like Battleship, or thought experiments like the prisoner's dilemma

For our purposes, the players are the firms in the oligopoly. We almost always assume a duopoly, which is an oligopoly with only two firms, since otherwise the math gets really messy. By messy, I mean out of the scope of AP Micro. You'll never need to deal with more than two firms in an oligopoly (that is, until you study economics in college, which you all will. Right?)

Exploring a Payoff Matrix

We represent games in AP Micro using a payoff matrix. A payoff matrix is a chart that shows the actions of two firms and the payoffs (oftentimes represented by the subsequent profit) of each combination of choices. 

For example, suppose there are two pizza shops: Tom's Tomatoes and Pete's Pizza. These two firms form a duopoly market for pizza. Now, let's suppose each firm can make one of two choices: Tom can decide whether or not to enter the market, and Pete can decide whether or not he wants to advertise. 

The two firms cannot collude, or work together, so while they know what each firm does, they can't control said action. They also work simultaneously, meaning there is no "Pete goes first, Tom goes second". Instead, they each know the payoffs and make a decision at the same time.

Let's break down a theoretical payoff matrix for this situation:

🔽 Pete ///// ➡️ TomEnterStay Out
AdvertisePete: $50, Tom: -$2Pete: $175, Tom: $0
Do Not AdvertisePete: $150, Tom: $15Pete: $100, Tom: $0

We see that if Tom stays out, he always makes zero profit (which makes sense, can't make profit if you don't do anything). Alternatively, Tom can make profit if he enters and Pete doesn't advertise. Let's break down what each player should do by looking at two concepts: dominant strategy and Nash Equilibrium.

Dominant Strategies

dominant strategy is a strategy that a firm should take no matter what the other firm does. Sometimes a firm doesn't have a dominant strategy because they should do different things depending on the other firm. Let's try to determine if either firm has a dominant strategy in our payoff matrix above.

First, let's look at Tom. If Pete advertised, Tom should stay out, since he chooses between losing -$2 or making nothing. If Pete doesn't advertise, Tom should enter, since he can make $15 compared to nothing. Thus, Tom does not have a dominant strategy. This is because there is no "best strategy" regardless of choice.

Now let's look at Pete. If Tom enters, Pete shouldn't advertise ($150 > $50). If Tom stays out, Pete should advertise ($175 > $100). Thus, Pete also doesn't have a dominant strategy.

We'll see in future examples what a dominant strategy looks like, but for this payoff matrix, neither firm has a direct best strategy. There are best options, but they're dependent on the other player. If, for example, Pete made $200 to not advertise if Tom stays out, his dominant strategy would be not to advertise, since no matter what Tom did, Pete was better off not advertising. However, in our case, it depends.

Nash Equilibrium

The Nash Equilibrium of a non-cooperative game like ours is a point at which - and stay with me here - a stable state of a game in which no participant can unilaterally improve their position. The word unilaterally always messes up students, but this definition is actually fairly simple. 

All the Nash Equilibrium is is a point at which both players are stable - they cannot improve unless the other player moves, but the other player also can't improve because that would require them to move, so neither move. It's a point at which the game equilibrates (hence Nash Equilibrium) and neither party has an incentive to move without the other player doing so first.

For example, in our case, we have two Nash Equilibria: 

  1. Do Not Advertise and Enter

  2. Advertise and Stay Out

At these two points, neither player stands to gain by changing their decision, assuming the other player doesn't move.

You can find these points by circling the best options for each firm depending on the other player's choice. If there are two circles in any box, we have a Nash Equilibrium, since both players are doing the best they can relative to the other player's choice! We can see this with the highlighting below:

Example Problems

Provided below is a game theory matrix for the soft drink industry. Coca-Cola and Pepsi are oligopolistic firms that collude to dominate the soft drink market. In this scenario, both firms have the choice to set their prices high or low, and the potential profits for both firms are listed in the matrix. The firms are aware of the payoffs but do not collude when making their decision (unless explicitly stated). The numbers on the right of each box (in red) belong to Coca-Cola and the numbers on the left of each box (in blue) belong to Pepsi.

Let's look at some sample questions that are typically asked about these type of problems:

  1. **If Coca-Cola and Pepsi collude, what will be the payoff for both firms?**They will both choose to charge a high price and they will both earn a $2,000 profit. (This is the best outcome for both of them while colluding)
  2. **Does Coca-Cola have a dominant strategy and if so, what is it?**Yes, the strategy is to charge a lower price. We determine this by finding which pricing strategy will be more favorable for Coca-Cola depending on Pepsi's pricing strategy. If Pepsi goes high, Coca-Cola can either go high and make a $2000 profit, or go low and make a $2500 profit. Since $2500 > $2000, Coca-Cola will go low when Pepsi goes high. If Pepsi goes low, Coca-Cola can either go high and make a $950 profit, or go low and make a $1000 profit. Since $1000 > $900, Coca-Cola will go low when Pepsi goes low. In both situations, Coca-Cola's pricing strategy is the same, which means that going low is their dominant strategy.
  3. **Does Pepsi have a dominant strategy and if so, what is it?**Yes, it is to charge a lower price. We determine this by finding which pricing strategy will be more favorable for Pepsi depending on Coca-Cola's pricing strategy. If Coca-Cola goes high, Pepsi can either go high and make a $2000 profit, or go low and make a $2500 profit. Since $2500 > $2000, Pepsi will go low when Coca-Cola goes high. If Coca-Cola goes low, Pepsi can either go high and make a $900 profit, or go low and make a $1000 profit. Since $1000 > $900, Pepsi will go low when Coca-Cola goes low. In both situations, Pepsi's pricing strategy is the same, which means that going low is their dominant strategy.
  4. If Coca-Cola and Pepsi decide NOT to collude and choose their price level on their own, what will be the payoff for both firms? Explain. Pepsi will have a profit of $1000 and Coca-Cola will have a profit of $1000. Since Coca-Cola has a dominant strategy of a low price and Pepsi has a dominant strategy of a low price, these two decisions meet in the box where Pepsi and Coca-Cola have the profits listed above.

Sample Free Response Question (FRQ): 2007 Question #3

Two bus companies, Roadway and Rankin Wheels, operate a route from Greensboro to Spring City, transporting a mix of passengers and freight. They must file their schedules with the local transportation board each year and cannot alter them during that year. Those schedules are revealed only after both companies have filed. Each company must choose between an early and a late departure. The relevant payoff matrix appears below, with the first entry in each cell indicating Roadway's daily profit and the second entry in each cell indicating Rankin Wheels' daily profit.

(a) In which market structure do these firms operate? Explain.

The market is an oligopoly because there are only two firms and their actions are mutually interdependent.

(b) If Roadway chooses an early departure, which departure time is better for Rankin Wheels?

Rankin Wheels will choose an early departure because if Roadway is choosing an early departure, then Rankin Wheels' two options are early departure with a profit of $900 or a late departure with a profit of $850. Since $900 is greater than $850, they will choose an early departure.

(c) Identify the dominant strategy for Roadway.

Roadway's dominant strategy is an early departure. When Rankin Wheels departs early, Roadway can make $1000 by departing early or $750 by departing late. When Rankin Wheels departs late, Roadway can make $950 by departing early or $700 by departing late. In both scenarios, early departure results in the highest profit for Roadway ($1000 > $750 and $950 > $700).

(d) Is choosing an early departure a dominant strategy for Rankin Wheels? Explain.

No, because if Roadway chooses a late departure, Rankin Wheels is better off choosing a late departure because $800 profit is greater than $650 from an early departure. However, if Roadway chooses an early departure, Rankin Wheels is better off choosing an early departure because $900 profit is greater than $850 profit from a late departure. Rankin Wheels' does not have a dominant strategy, which means they have to choose based on Roadway's strategy.

(e) If both firms know all of the information in the payoff matrix but do not cooperate, what will be Rankin Wheels' daily profit?

Rankin Wheels' daily profit will be $900.

Kinked Demand Curve for an Oligopoly

In an oligopoly, firms experience price leadership. This is a model of oligopoly where the dominant firm will initiate a price change in the industry. An example of this is when there are three non-colluding gas stations that dominate in a small town. The dominant firm will initiate a price change in the industry. 

The other gas stations have two opportunities (1) accept the new price change, or (2) ignore the new price change and keep its price the same. If the other firms choose to accept the new price change, then the market price is changes successfully and they are able to continue to maximize profits. If the other firm chooses to ignore the new price change then it can result in a "price war" where firms are continually changing their price in an attempt to outbid each other.

We can model price competition with a kinked demand curve. Let's break this down.

Let's suppose you and another firm are in a non-colluding duopoly market. You can choose two actions: you can increase your price or decrease your price. The other firm is not colluding with you, so they work against you. 

If you increase your price, they're best off ignoring you and not changing their price so consumers go to them. This leads to a more elastic demand for you, since you'll have a dramatic loss in consumers (assuming the other firm makes the right choice). This means with price increases, your consumers are price sensitive.

If you decrease your price, your competitor will match your price and the market will stay relatively similar. This means your demand is relatively inelastic.

When we graph this, we see a kink in the demand curve at what would otherwise be the profit maximizing price and quantity:

If you're above the equilibrium price (ie. increase), your demand is elastic. Otherwise, it's inelastic. MC and ATC are the same.

This isn't a graph you'll necessarily have to memorize for the AP exam, but helps show how the market is influenced by interdependence.

Comparison on All Market Structures

We've officially covered all of the market structures for AP Micro (Except factor markets, but those are somewhat separate)! Here is a chart that compares all four markets that we've discussed so far:

Frequently Asked Questions

What is an oligopoly and how is it different from monopoly and perfect competition?

An oligopoly is a market with only a few firms (think 2–10 big players) that face high barriers to entry and act interdependently—each firm’s price/output choices affect the others (CED EK PRD-3.C.1). Unlike a monopoly (one firm with market power) or perfect competition (many firms, price takers), oligopolists can influence price but can’t unilaterally set the monopoly outcome. They often have incentives to collude or form cartels (EK PRD-3.C.2), but strategic problems (Prisoner’s Dilemma, dominant strategies, Nash equilibrium—EK PRD-3.C.3–6) make stable collusion hard. Result: prices are usually higher and output lower than in perfect competition, but closer to competitive than a pure monopoly (EK PRD-3.C.7). For AP review, focus on strategic interdependence, payoff matrices, dominant strategies, and Nash equilibrium—see the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and Unit 4 overview (https://library.fiveable.me/ap-microeconomics/unit-4). For extra practice, use the practice problem bank (https://library.fiveable.me/practice/ap-microeconomics).

I don't understand what barriers to entry mean in oligopolies - can someone explain with examples?

Barriers to entry are the obstacles that stop new firms from entering an industry—and they help explain why oligopolies have only a few firms that can earn long-run profits (CED EK PRD-3.C.1). Common examples: - High startup costs or capital requirements (airlines, carmakers). - Economies of scale: incumbent firms produce cheaply at large scale, so a small entrant can’t match prices (utilities). - Legal barriers: patents or licenses (pharma, telecom spectrum). - Control of key inputs (De Beers historically with diamonds). - Strong network effects (social networks or platforms become more valuable as more users join). These barriers make collusion or tacit collusion easier because few firms face real competition (CED EK PRD-3.C.2). On the AP exam you should be able to define barriers and give examples; see the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and more unit review (https://library.fiveable.me/ap-microeconomics/unit-4). For extra practice, check Fiveable’s practice problems (https://library.fiveable.me/practice/ap-microeconomics).

How does game theory work and why do we use it to study oligopolies?

Game theory models strategic interactions where each firm’s payoff depends on its own action and others’ actions (CED: EK PRD-3.C.3, 3.C.4). In oligopoly, few firms are interdependent, so you use payoff (normal-form) tables to list strategies and outcomes. Key AP concepts: a dominant strategy (best no matter what rivals do), Nash equilibrium (no one can profitably deviate unilaterally), and the Prisoner’s Dilemma analogy showing why firms want to collude but often don’t (EK PRD-3.C.5–3.C.7). Game theory explains why oligopoly prices/quantities sit between monopoly and perfect competition: firms could raise profits by cooperating, but incentives to cheat prevent stable monopoly outcomes. Practice reading payoff matrices and identifying dominant strategies and Nash equilibria for the exam (topic 4.5). For a focused review, see the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and extra practice (https://library.fiveable.me/practice/ap-microeconomics).

What's the difference between a dominant strategy and Nash equilibrium in game theory?

A dominant strategy is an action that gives a player a higher payoff no matter what the other player does—it’s best for that player in every possible case (CED EK PRD-3.C.5). A Nash equilibrium is a set of actions (one for each player) where no single player can increase their payoff by changing only their own action, given the other players’ choices (CED EK PRD-3.C.6). So: if a player has a dominant strategy, the action they choose in every Nash equilibrium (if one exists) will be that dominant action—but a Nash equilibrium can exist without any player having a dominant strategy. Example: in the Prisoner’s Dilemma each player has a dominant strategy to “defect,” and (defect, defect) is the Nash equilibrium; but many games have Nash equilibria that require mutual best responses without any dominant strategy. For AP review, see the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and practice problems (https://library.fiveable.me/practice/ap-microeconomics).

Can someone explain the prisoner's dilemma and how it relates to oligopoly firms?

The Prisoner’s Dilemma is a 2-player, 2-action normal-form game showing why two profit-seeking firms don’t cooperate even when cooperation would raise both their payoffs. Example payoffs (years of utility): if both “cooperate” (collude) they each get 3; if one defects while the other cooperates, the defector gets 5 and the cooperator gets 0; if both defect, they each get 2. Each firm has a dominant strategy to defect (it’s better no matter what the other does), so the Nash equilibrium is (defect, defect) with payoff 2, even though (cooperate, cooperate) with payoff 3 each is Pareto-better. In oligopoly, this explains why cartels are unstable (EK PRD-3.C.2, EK PRD-3.C.6). Firms face strategic interdependence and incentives to cheat, so monopoly outcomes are hard to sustain; prices end up lower and output higher than a cartel but still above perfect competition (EK PRD-3.C.7). For more AP-aligned examples and practice, see the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe), Unit 4 overview (https://library.fiveable.me/ap-microeconomics/unit-4), and lots of practice problems (https://library.fiveable.me/practice/ap-microeconomics).

How do I read a payoff matrix and find the Nash equilibrium from a table?

Read the matrix by remembering it shows each player’s payoff for every combo of actions (first number = row player, second = column player). To find a Nash equilibrium: 1. Identify players, actions, and payoffs in each cell. 2. Look for dominant strategies: for each player, compare payoffs down columns (row player) or across rows (column player). If one action gives a higher payoff no matter what the other does, that’s a dominant strategy (EK PRD-3.C.5). 3. To find Nash equilibrium (EK PRD-3.C.6), check each cell: ask “If the other player’s choice is fixed, can this player increase payoff by unilaterally switching?” If neither player can improve by switching, that cell is a Nash equilibrium. 4. If both players have dominant strategies, the outcome where they play those is a Nash equilibrium. (AP scope: two players, two actions; mixed strategies are out.) Practice this on examples in the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and try more problems at the Unit 4 page (https://library.fiveable.me/ap-microeconomics/unit-4) or the practice bank (https://library.fiveable.me/practice/ap-microeconomics).

What does it mean when firms have an incentive to collude and why do they want to form cartels?

When firms “have an incentive to collude” it means they can all earn higher joint profits by cooperating—setting higher prices or cutting output—than by competing. In an oligopoly (few firms, high barriers) each firm’s profit depends on rivals’ choices, so cooperating can move the group closer to the monopoly outcome: higher price, lower quantity, bigger profits (EK PRD-3.C.1, 3.C.7). They form cartels to coordinate those actions and split the extra profit. But collusion is unstable: individual firms face a Prisoner’s Dilemma—each has an incentive to cheat (undercut price) to raise its own profit, so cartels often collapse unless there’s enforcement, legal immunity, or tacit collusion (repeated interaction, price leadership). This is exactly why Nash equilibrium and dominant-strategy reasoning matter on the AP (EK PRD-3.C.3–3.C.6). For a clear study guide and practice problems on this topic, see Fiveable’s Topic 4.5 guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and Unit 4 overview (https://library.fiveable.me/ap-microeconomics/unit-4). Practice questions: (https://library.fiveable.me/practice/ap-microeconomics).

I'm confused about why oligopolies are inefficient - don't they still compete with each other?

Good question—oligopolies do compete, but that competition often doesn’t push the market to the efficient outcome. With only a few firms, each one’s profit depends on what the others do (strategic interdependence). That creates incentives to collude (explicitly or tacitly) because a cartel-like outcome raises price and profit—but collusion is unstable: each firm also has a short-run incentive to “cheat” (like cut price) to grab extra share. That situation looks like a Prisoner’s Dilemma: the Nash equilibrium (what firms actually choose) typically leaves price higher and quantity lower than in perfect competition, so deadweight loss remains. In short: they compete, but imperfect competition + barriers to entry + incentives to collude/cheat mean outcome is less efficient than perfect competition (and closer to monopoly). On the AP, you should be able to show this with payoff matrices, dominant strategies, and identify Nash equilibria (see the Topic 4.5 study guide for examples) (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe). For more practice, check (https://library.fiveable.me/practice/ap-microeconomics).

How do I calculate what incentive is needed to change a player's dominant strategy?

Find the payoff matrix, identify the player’s current dominant action, then ask: how big a transfer (incentive) t makes the other action at least as good for every possible opponent choice? Mathematically: t = max_over_opponent_actions [ payoff(other action, opp) − payoff(current dominant action, opp) ] If that max is ≤ 0, no incentive is needed. If positive, t equal to that max (or slightly larger to break ties) is the smallest incentive to change the dominant strategy. Quick numeric example: suppose Player A’s payoffs when Opponent chooses Left or Right are: - If A plays D (dominant): Left → 5, Right → 7 - If A plays C (other): Left → 8, Right → 6 Differences (C − D): Left = 3, Right = −1. The max is 3, so an incentive of at least 3 makes C at least as good in every case (and thus become A’s dominant strategy). This uses CED ideas of dominant strategies and payoff matrices (EK PRD-3.C.5, 3.C.6). For more examples and practice, see the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and lots of practice questions (https://library.fiveable.me/practice/ap-microeconomics).

What's the difference between cooperative and non-cooperative outcomes in game theory?

A cooperative outcome is when players (or firms) coordinate their strategies to maximize joint payoffs—think collusion or a cartel where firms agree to restrict output and raise price to get closer to monopoly profits. A non-cooperative outcome is when each player chooses independently to maximize their own payoff given others’ choices; the result is a Nash equilibrium if no one can do better by unilaterally changing strategy. The Prisoner’s Dilemma shows why cooperation is hard: each player has a dominant strategy that leads to a worse joint payoff than if they’d cooperated (CED EK PRD-3.C.5–3.C.7). In oligopoly, tacit or explicit collusion can yield cooperative-like payoffs, but incentives to deviate and antitrust laws make non-cooperative Nash outcomes more likely. For AP review, focus on payoff matrices, dominant strategies, and Nash equilibrium (see Fiveable’s Topic 4.5 guide: https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe).

Why can't oligopoly firms achieve the monopoly outcome even though there are only a few of them?

Even with only a few firms, oligopolies usually can’t get the monopoly outcome because firms are strategically interdependent and each has an incentive to cheat on any collusive agreement. If firms try to act like a single monopolist (cut output, raise price), each firm can increase its own profit by secretly increasing output or cutting price—that unilateral gain makes collusion unstable. Game-theory: the cooperative (monopoly) outcome isn’t a Nash equilibrium because one firm can raise its payoff by deviating, so the equilibrium is a noncooperative outcome (like the Prisoner’s Dilemma). Practical limits—legal anti-trust rules, lack of enforceable contracts, and imperfect information—also prevent sustained cartel behavior. Models show the range: Bertrand price competition can drive price toward marginal cost, Cournot quantity competition yields output above monopoly but below perfect competition. Review these CED concepts (collusion, Nash equilibrium, Prisoner’s Dilemma) in the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and try practice problems (https://library.fiveable.me/practice/ap-microeconomics).

How do I know if a strategy is dominant by looking at the payoff numbers in the matrix?

Look at one player at a time. For each possible action the other player could take, compare that player’s payoffs across their own choices. If one action gives a strictly higher payoff in every column (or row)—i.e., no matter what the other player does—then that action is a dominant strategy (CED EK PRD-3.C.5). Quick steps: 1. Pick a player. 2. For each of the other player’s actions, write the payoffs from your two actions side-by-side. 3. If action A ≥ action B in every case and strictly > in at least one, A weakly (or strictly if always >) dominates B. 4. Repeat for the other player. Example: If your payoffs are 10 vs 6 when opponent chooses X, and 12 vs 8 when opponent chooses Y, the first payoff column (10,12) shows your first action dominates the second (6,8). AP note: AP covers two-player, two-action normal-form games only (CED limits). For more practice and examples, see the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and extra problems (https://library.fiveable.me/practice/ap-microeconomics).

What happens to prices and quantities in oligopoly compared to perfect competition and monopoly?

In short: oligopoly outcomes sit between perfect competition and monopoly. With few interdependent firms, prices in oligopoly are typically higher and output lower than in perfect competition because firms have market power and can (explicitly or tacitly) collude (cartels) to raise price. But oligopolies rarely reach the monopoly’s extreme price-high/quantity-low outcome because strategic incentives (think Prisoner’s Dilemma and Nash equilibrium) make cheating attractive. So: perfect competition = lowest price, highest quantity (efficient); monopoly = highest price, lowest quantity (most inefficient); oligopoly = usually higher price and lower quantity than competition but often lower price and higher quantity than a monopolist unless firms successfully collude. This tradeoff and the role of dominant strategies/Nash equilibrium is tested on the AP (Topic 4.5)—see the unit study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and Unit 4 overview (https://library.fiveable.me/ap-microeconomics/unit-4). For extra practice, use the 1,000+ problems (https://library.fiveable.me/practice/ap-microeconomics).

I don't understand interdependence - how does one firm's decision affect another firm in an oligopoly?

Interdependence means each firm’s best choice depends on what rival firms do. In an oligopoly (few firms, high barriers) each firm’s profit payoff changes with rivals’ actions—so you can’t pick price or output in isolation. Game theory models this with payoff matrices: a strategy lists actions; a dominant strategy always gives a higher payoff no matter what the other firm does (CED EK PRD-3.C.5). A Nash equilibrium is a set of actions where no firm can improve its payoff by changing strategy alone (EK PRD-3.C.6). Think Prisoner’s Dilemma: both firms would be better if they cooperated (cartel), but each has an incentive to deviate, so the cooperative (monopoly-like) outcome is hard to achieve (EK PRD-3.C.2, 3.C.7). Practice reading payoff tables and finding dominant strategies/Nash equilibria—that’s exactly what AP questions test. For more examples and practice, see the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and the practice bank (https://library.fiveable.me/practice/ap-microeconomics).

Can you give me real world examples of oligopolies and explain how they use game theory strategies?

Real examples: airlines (Delta, American, United) and oil producers (OPEC) are classic oligopolies—few firms, high barriers, and strategic interdependence (CED EK PRD-3.C.1–3.C.3). How they use game theory: - Tacit collusion/price leadership: One firm raises fares and others match (price leadership). That’s like a repeated Prisoner’s Dilemma where matching is profitable but each firm has an incentive to cut price for market share. - Cartel (explicit collusion): OPEC tries to limit output to raise price—a cartel outcome that’s hard to sustain because individual members have an incentive to cheat (defect). - Strategic quantity/price models: Airlines often act Cournot-like (compete on quantity/routes) while price competition in consumer electronics resembles Bertrand (price undercutting). - Game-theory concepts: dominant strategy (an action best regardless of the other), Nash equilibrium (no one can gain by changing unilaterally), and the Prisoner’s Dilemma explain why oligopolies often end up with higher prices than perfect competition but below monopoly. For step-by-step tables and AP-style payoff matrices (2 players, 2 actions), review the Topic 4.5 study guide (https://library.fiveable.me/ap-microeconomics/unit-4/oligopoly-game-theory/study-guide/mBvl1ZO2oahFuA0W4Zfe) and practice questions (https://library.fiveable.me/practice/ap-microeconomics).