Stackelberg Oligopoly: Quantity Leadership Model Explained

First mover advantage exists when committing early provides strategic benefits, while second mover advantage exists when learning from others' mistakes or observing their actions provides greater benefits. Examples include: (1) Quantity competition (Stackelberg) - first mover advantage through commitment; (2) Technology adoption - second mover advantage through learning; (3) Curriculum development - second mover advantage through observing others' successes and failures. The appropriate strategy depends on the specific game structure.

The first company to develop a technology bears the highest costs while later entrants achieve similar results at significantly lower costs. If SpaceX spent $1 billion to develop a component, competitors might only need $100 million to replicate it using lessons learned from failures. The choice of construction materials significantly impacts costs—steel offers advantages in cost, manufacturability, and durability over aluminum. This economic asymmetry means the company that wins the technology race may not be the one that ultimately profits most.

First-mover advantage is not always superior to second-mover advantage. First movers invest heavily in experimentation, technology development, and platform creation, which increases costs and often results in products with historical defects. Second movers benefit from knowing which technologies work, which errors to avoid, and can replicate successful innovations more efficiently. The Soviet atomic bomb development demonstrates this: by studying American research and avoiding their errors, the USSR accelerated their development. Xerox invented the personal computer, mouse, and graphical interface but failed commercially, while Apple recognized the potential and succeeded. Companies invest in innovation capabilities because not all innovations can be copied, and copying erodes creative capabilities over time.

Second-mover advantage refers to benefits gained by entering a market after the first-mover, based on the principle of 'risk avoidance.' The three key benefits include: (1) observing market demand before entering, allowing better timing decisions and avoiding markets with insufficient demand, (2) reducing advertising costs because the first-mover has already educated the market and created demand, and (3) lowering R&D costs by studying the first-mover's products and learning from their successes and failures. These advantages allow later entrants to avoid the risks and difficulties that first-movers encounter while still capturing market opportunities.

The first-mover advantage is largely a myth because entering a market too early often leads to failure, as demonstrated by cases like Teledesk (1990s satellite internet) and Larry Ellison's Network Computer (1996), while successors like Google, GM, Toyota, and Airbus achieved greater success by entering when markets were more mature and technology was better developed; the successor advantage provides better odds of success (only 8% failure rate vs. 47% for first movers) because successors benefit from established markets, proven technologies, and reduced regulatory barriers.

In Dixit's entry deterrence model, an incumbent firm strategically chooses capacity in stage one to either deter or accommodate entry by a potential competitor in stage two. The model identifies five critical output levels—monopoly output (q1m), limit output (q1l), Cournot equilibrium outputs (q1t and q1v), and Stackelberg output (q1s)—that determine the equilibrium outcome. When the limit output is less than the Stackelberg output, the incumbent can profitably deter entry by choosing capacity equal to the limit output, earning monopoly profits. When the limit output exceeds the Stackelberg output, the incumbent cannot profitably deter entry and must accommodate, resulting in Cournot competition. The model demonstrates that entry deterrence is not always optimal and depends on the relationship between these critical output levels.

In Dixit's model of entry deterrence, an incumbent firm can strategically commit to a specific capacity level in Stage 1 to influence whether a potential entrant will enter the market in Stage 2. The model shows that the incumbent has three possible outcomes: (1) Blockaded monopoly when the entrant cannot profitably enter regardless of the incumbent's capacity; (2) Effective deterrence when the incumbent commits to the limit output that makes entry unprofitable; and (3) Accommodation when the incumbent commits to the Stackelberg output and accepts competition. The specific outcome depends on the relationship between the entry cost (f), market demand (A), and production costs (w, r). When the limit output is less than the Stackelberg output, the incumbent can choose between deterring or accommodating entry based on which strategy yields higher profit.

Limit pricing is a strategic pricing mechanism where an incumbent firm sets its price below the monopoly price but above the competitive price to prevent new competitors from entering the market. The firm sacrifices some short-term profits to ensure that potential entrants find the market unattractive due to low expected profitability. This strategy works because if the price falls below the limit price, new entrants would face losses, thereby deterring them from entering. The concept is particularly relevant in oligopoly markets where firms face constant threats of competition.

In sequential games, backward induction reveals whether threats are credible; when an existing firm threatens a price war to deter a new entrant, the threat is non-credible if the firm would actually prefer to price high (payoff 10) rather than fight (payoff 5), causing the entrant to enter and both firms to achieve Nash equilibrium with the entrant entering and the incumbent pricing high; however, if the incumbent commits to pricing low initially, the entrant rationally chooses not to enter, demonstrating how strategic pre-commitment can credibly deter market entry.

Limit price is the maximum price that existing firms can charge without attracting new entrants. If firms charge the profit-maximizing price (PM), new firms would be attracted to enter, increasing supply and reducing market demand for existing firms, causing them losses. Thus, existing firms set prices below PM to deter entry.

This comprehensive lesson covers how repeated games enable cooperation through strategic mechanisms. In indefinitely repeated games, firms can use trigger strategies—cooperating until someone defects, then permanently punishing them—to achieve collusive outcomes better than single-period competition. However, when the game has a known finite endpoint, backward induction causes players to defect in every period since no future punishment exists. The key insight is that cooperation requires players to value future payoffs; if the depreciation rate R is sufficiently low (R < 2), cooperation becomes sustainable. When players care only about current profits, even indefinite repetition fails to produce cooperation, and the single-period Nash equilibrium dominates all periods.

Repeated interactions enable cooperation through the threat of future punishment. In repeated Prisoner's Dilemma games, players can develop strategies that make cooperation sustainable. If you defect, the other player can punish you by defecting in future rounds. This punishment makes it in your interest to cooperate. The key insight is that the possibility of future interactions creates incentives to follow through on promises, solving the commitment problem that plagues one-shot games. Oligopolies (markets with few competitors) can sustain high prices through implicit collusion. Companies don't explicitly agree to keep prices high, but they know that if one cuts prices (defects), others will retaliate with price wars. The fear of future punishment keeps everyone cooperating.

In repeated games, firms develop reputations and use tit-for-tat strategies to maintain equilibrium, where both parties benefit from cooperation (e.g., high prices yielding 50/50 profits) rather than undercutting, because the threat of retaliation in future periods deters deviation; however, when the number of periods is known to be finite, firms will defect in the final period, leading to lower equilibrium outcomes. Sequential games, where one firm moves first (through production, commitment, or announcement), can be analyzed using decision tree diagrams to determine optimal strategies and Nash equilibria.

In repeated games (multiple periods like seasonal decisions), firms can sustain cooperation through Tit-for-Tat strategies. If a firm cheats, it faces permanent punishment (competing forever). When calculating expected payoffs, short-term gains from cheating (448 euros) are weighed against long-term losses from punishment (355 euros forever). With sufficiently many periods, the total losses from punishment exceed short-term gains, creating incentives to cooperate. This explains why oligopolies often show less competition than one-shot models predict.

In repeated games (반복 게임), where players interact multiple times, cooperation becomes sustainable. The Prisoner's Dilemma's one-shot equilibrium (both confess) changes in repeated interactions. The threat of future punishment for betrayal can sustain cooperation. This explains why real-world oligopolies may collude despite having incentives to cheat - ongoing relationships make cooperation sustainable.