Prisoner's Dilemma, Cooperation, and Collusion
A prisoner's dilemma has an individually attractive action that leads everyone to an outcome worse than mutual cooperation. In a business version, two firms earn more jointly by limiting output, but each can gain by secretly expanding while the rival restrains itself.
Collusion and defection undercover
Manage cooperation against a rival who may betray
Moves are simultaneous, the rival's move is hidden, and the regulatory window ends without warning. Defection strictly dominates in one shot: 8 beats 5 against cooperation, and 2 beats 0 against defection.
Goal: earn at least 28 before the window closes. The rival watches your trust record and may test you first.
The rival's first move is sealed. Both moves are revealed after your choice.
The one-shot equilibrium can therefore involve aggressive pricing or output even when both firms prefer mutual restraint. This is not irrationality: each firm is responding optimally to the incentives it faces.
Cartels face internal and external pressure
A cartel coordinates firms to act more like a monopoly. To raise price, members must control total output and divide sales. Stability is harder when there are many firms, products or costs differ, demand is volatile, prices are secret, or cheating is difficult to detect.
External pressure comes from customers, substitutes, entrants, and antitrust enforcement. Collusion can be explicit through communication or tacit through repeated observation, but legal treatment differs by jurisdiction and evidence. Agreements to fix prices or divide markets are commonly illegal.
Cooperation is broader than collusion
Firms may cooperate lawfully on standards, shared safety research, payment interoperability, or common infrastructure. The economic question is whether cooperation creates efficiencies unavailable separately or suppresses rivalry. Policy should examine restrictions, necessity, consumer effects, and less restrictive alternatives.
A payoff matrix clarifies incentives but does not itself establish illegal conduct. Real analysis requires evidence about communication, implementation, monitoring, and market effects.
Measure the temptation and the breakdown
Suppose mutual restraint pays each firm 8, a lone undercutter receives 12 while the cooperator receives 2, and mutual undercutting pays 4 each. The private temptation gain is . If both respond this way, each loses relative to cooperation.
This is the central tension: collective interest points to restraint, while individual incentives point to undercutting. Describing the firms as “short-sighted” misses the structure; the one-shot incentives genuinely reward deviation.
Predict when an agreement is fragile
Secret discounts make cheating hard to observe. Demand shocks make low sales ambiguous: did a member cheat, or did the market weaken? More members create more monitoring and division problems. Different costs make a common price or quota unattractive to some members.
Antitrust enforcement adds an external expected cost to coordination. Legal cooperation on safety or interoperability should be separated from agreements that suppress price or divide customers. Analyze what is coordinated, why it is necessary, and whether a less restrictive method can deliver the efficiency.
KNOWLEDGE QUIZ
Audit a capacity cartel
Two manufacturers choose Honor or Undercut. Payoffs are Honor/Honor (8,8), Honor/Undercut (2,12), Undercut/Honor (12,2), and Undercut/Undercut (4,4).
- Show that Undercut is dominant for each firm.
- Identify Nash equilibrium and the joint-profit-maximizing cell.
- Calculate the private temptation gain and mutual breakdown loss.
- Explain how monitoring, firm count, demand volatility, and antitrust enforcement affect stability.