--- title: "Stackelberg Competition | Game Theory" description: "Stackelberg competition is a sequential game where one firm moves first and the other reacts, shaping output, pricing, and subgame perfect equilibrium in Game Theory." canonical: "https://fiveable.me/game-theory/key-terms/stackelberg-competition" type: "key-term" subject: "Game Theory" unit: "Unit 6" --- # Stackelberg Competition | Game Theory ## Definition Stackelberg competition is a sequential game in Game Theory where one firm chooses output first and the other firm responds. The leader's move can change the follower's best response and the final market outcome. ## What It Is Stackelberg competition is a sequential oligopoly model in Game Theory. One firm, called the leader, commits to an output level first, and the other firm, called the follower, chooses after seeing that decision. The whole point of the model is that timing changes strategy, so the order of moves matters just as much as the payoffs. This is different from a simultaneous-move game, where firms choose at the same time and cannot react to each other in real time. In Stackelberg competition, the leader gets a first-mover advantage because its choice becomes part of the follower's decision problem. The follower does not get to pretend the leader's move did not happen, it has to best respond to it. The model usually assumes both firms know the market and each other's costs, so the game has perfect information. That means the follower can see the leader's output and then choose its own best output. Because the follower is reacting, the solution is found by working backward from the second mover's choice, then checking the leader's initial decision. A simple way to think about it is like this: the leader tries to pick an output that pushes the follower into a less profitable response. But the leader is not choosing blindly, because it also knows the follower will respond optimally. So the leader's move is a commitment, not just a guess. The classic result is that Stackelberg competition often produces more total output than Cournot competition, where firms choose simultaneously. The leader may produce more than a Cournot firm would, while the follower usually produces less. That combination can shift the market outcome, change profits, and show why sequence and commitment can matter more than raw size alone. ## Why It Matters Stackelberg competition matters because it shows how strategic timing changes market behavior in Game Theory. If you only know simultaneous-move models like Cournot competition, you miss what happens when one player can move first and force the other into a response. This concept connects directly to subgame perfect equilibrium, since the follower's choice has to be optimal after the leader's move is revealed. That makes Stackelberg a clean example of backward induction in action. You solve the follower's best response first, then plug that reaction into the leader's decision. It also gives you a sharper way to read real market stories. A firm that commits early to production capacity, supply contracts, or output can shape what rivals do next. In economics and business settings, that is often more realistic than assuming everyone moves at once. The model is useful for spotting the payoff from commitment. Sometimes the first mover gains an advantage, but sometimes the reaction from the follower limits that advantage. Seeing that tradeoff is a big part of sequential game analysis. ## Connections ### [Cournot competition](/game-theory/key-terms/cournot-competition) Cournot competition is the closest comparison because firms choose output at the same time instead of in sequence. In Cournot, no firm can react after seeing the other's choice, so the outcome comes from mutual best responses at once. Stackelberg competition changes that structure by letting one firm move first and forcing the other to respond. ### Nash equilibrium A Stackelberg outcome still needs to be a Nash equilibrium in the strategic sense, but not every Nash equilibrium works well in a sequential game. The follower's action must be a best response, and the leader's choice has to anticipate that response. That is why Stackelberg problems often feel like Nash equilibrium plus timing. ### [Perfect Information](/game-theory/key-terms/perfect-information) Stackelberg competition usually assumes perfect information, which means both firms know the rules, costs, and observed moves. That matters because the follower can see the leader's output before deciding. If the game did not have perfect information, the sequential logic would be less clean and the solution would be harder to pin down. ### Game theory Stackelberg competition is one of the standard strategic models inside game theory. It shows how economists model competition when players are rational and outcomes depend on what rivals do. The term gives you a concrete example of how game theory moves from abstract strategy to market decisions. ## On the AP Exam A problem set question usually gives you two firms, demand, and cost functions, then asks you to find the Stackelberg outcome. The move is to solve the follower's best response first, then substitute that reaction into the leader's payoff and maximize for the leader's choice. If the question compares models, you may need to explain why the Stackelberg leader can earn more than a Cournot firm because it commits first. On essays or short responses, use the term to describe why sequencing changes the equilibrium, not just to say one firm moves before the other. ## Stackelberg competition vs Cournot competition These two are often mixed up because both describe oligopoly competition with strategic firms. The difference is timing: Cournot is simultaneous, while Stackelberg is sequential with a leader and follower. If a problem says one firm moves first and the other observes that move, you are in Stackelberg, not Cournot. ## Key Takeaways - Stackelberg competition is a sequential game where one firm moves first and the other responds after seeing that move. - The leader gets a first-mover advantage because its commitment changes the follower's best response. - The model is a standard example of perfect information and backward induction in Game Theory. - Stackelberg competition often produces a different market outcome than Cournot competition, especially in output levels and profits. - When you solve it, start with the follower's reaction function, then plug that into the leader's decision. ## FAQs ### What is Stackelberg competition in Game Theory? Stackelberg competition is a sequential oligopoly model where one firm chooses output first and the other firm chooses after observing that decision. The leader's move shapes the follower's best response, so timing becomes part of the strategy. It is a classic example of how game theory handles commitment and reaction. ### How is Stackelberg competition different from Cournot competition? Cournot competition is simultaneous, so firms choose output at the same time. Stackelberg competition is sequential, so one firm moves first and the other reacts. That difference often changes both the equilibrium output and the profit split between firms. ### Why does the first mover have an advantage in Stackelberg competition? The first mover can commit to an output level before the follower acts, which shapes the follower's best choice. Because the follower is responding instead of choosing freely at the same time, the leader can sometimes steer the market toward a better outcome for itself. The size of that advantage depends on the payoff structure. ### How do you solve a Stackelberg competition problem? Find the follower's best response to the leader's output first. Then substitute that response into the leader's profit function and choose the leader's optimal output. That backward-induction setup is what makes Stackelberg problems a direct application of subgame perfect equilibrium. ## Related Study Guides - [6.2 Subgame perfect equilibrium](/game-theory/unit-6/subgame-perfect-equilibrium/study-guide/5tGnED7FOabveFNg) ## About This Document Canonical Fiveable pages are available as Markdown at the same path plus `.md`. - [llms.txt](https://fiveable.me/llms.txt): index of Fiveable's sections and URL patterns - [llms-full.txt](https://fiveable.me/llms-full.txt): complete subject and unit listing - [MCP server](https://fiveable.me/mcp): call Fiveable as tools instead of fetching pages (`https://fiveable.me/api/mcp`) - [MCP server for AP teachers](https://fiveable.me/mcp/teachers): a teacher's classes, assignments and AP-rubric grading (`https://fiveable.me/api/mcp/teacher`) ## Structured Data ```json {"@context":"https://schema.org","@graph":[{"@type":"LearningResource","@id":"https://fiveable.me/game-theory/key-terms/stackelberg-competition#resource","name":"Stackelberg Competition | Game Theory","url":"https://fiveable.me/game-theory/key-terms/stackelberg-competition","learningResourceType":"Concept explainer","educationalLevel":"AP® / High School","about":{"@id":"https://fiveable.me/game-theory/key-terms/stackelberg-competition#term"},"audience":{"@type":"EducationalAudience","educationalRole":"student"},"dateModified":"2026-07-03T02:21:36.475Z","isPartOf":{"@type":"Collection","name":"Game Theory Key Terms","url":"https://fiveable.me/game-theory/key-terms"},"author":{"@type":"Organization","@id":"https://fiveable.me/editorial#content-team","name":"Fiveable Content Team","url":"https://fiveable.me/editorial","parentOrganization":{"@id":"https://fiveable.me/#organization"},"member":[{"@type":"Person","name":"Amanda DoAmaral","sameAs":["https://www.linkedin.com/in/adoamaral"]},{"@type":"Person","name":"Becky Bahr","sameAs":["https://www.linkedin.com/in/becky-bahr-b52743132"]}]},"publisher":{"@type":"Organization","name":"Fiveable","url":"https://fiveable.me"}},{"@type":"DefinedTerm","@id":"https://fiveable.me/game-theory/key-terms/stackelberg-competition#term","name":"Stackelberg competition","description":"Stackelberg competition is a sequential game in Game Theory where one firm chooses output first and the other firm responds. 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