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A firm builds a reputation for aggressive responses to discourage competitors from entering the market. If a firm allows entry without resistance, it signals weakness and attracts more competitors over time. By establishing a credible reputation as a fierce competitor willing to engage in price wars or aggressive tactics, the firm convinces potential entrants that market entry will result in significant losses. This reputation alone can deter entry, allowing the dominant firm to maintain market control and profitability.

A firm accepts short-term losses to establish credibility as an aggressive competitor, which deters future market entry. When a potential entrant observes the firm's willingness to engage in price wars or aggressive pricing strategies, even at a cost to its own profits, it signals that the firm will not tolerate competition. This credible commitment to aggressive behavior protects the firm's long-term market dominance and profitability by preventing multiple competitors from fragmenting the market.

When a competitor enters and the dominant firm responds aggressively, both firms experience reduced profits due to price wars and competitive pressure. For example, the entering firm may earn negative or minimal profits due to its limited resources, while the dominant firm's profits decline from what it would earn by accommodating entry. Despite these short-term losses, the dominant firm benefits by reinforcing its reputation as unwilling to share the market, discouraging future competitors from attempting entry.

When a dominant firm credibly signals its aggressive reputation through past behavior or strategic commitments, potential competitors perceive entry as unprofitable and choose to stay out. If a competitor views the firm's aggressive response as credible and inevitable, it will rationally avoid market entry to prevent losses. This demonstrates how signaling and credibility shape decision-making in competitive markets, allowing firms to influence competitor behavior without engaging in actual price wars.

An aggressive response involves price wars or competitive tactics that reduce both firms' profits but establish the dominant firm's reputation as a fierce competitor. Accommodation allows the entering firm to coexist, with both firms earning moderate profits by sharing the market. The dominant firm chooses aggression to deter future entry, sacrificing short-term profits to protect long-term market dominance. This strategic choice reflects how reputation serves as a deterrent in sequential game scenarios.

When a potential competitor decides not to enter based on the firm's aggressive reputation, the dominant firm retains the entire market and earns maximum profits without engaging in costly competitive behavior. The threat of aggressive response, backed by credible reputation, is sufficient to deter entry. This outcome demonstrates that reputation functions as a strategic tool in non-cooperative games, where the firm's established image influences competitor behavior and market structure.

Credibility ensures that competitors believe the dominant firm will actually follow through with aggressive responses if entry occurs. Without credible commitment, competitors may doubt the firm's willingness to incur losses and attempt entry anyway. A firm establishes credibility through consistent past behavior, public commitments, or structural factors that make aggression inevitable. When competitors view the firm's reputation as credible, they rationally avoid entry, making reputation an effective deterrent without requiring actual competitive conflict.