Emergence of Cooperation

Game Theory · Axiom Academy

EXAMPLE Emergence of Cooperation How repeated interactions sustain cooperation in competitive markets Scenario: Two Firms in Repeated Price Competition Excellent work! You've completed this analysis of cooperation emergence. Here's what we learned: Repetition Changes Incentives: While collusion is not sustainable in one-shot games due to undercutting incentives, repeated interactions create punishment possibilities that can sustain cooperation. Folk Theorem Application: The Folk Theorem tells us that with sufficient patience (high discount factor), many cooperative outcomes become sustainable as subgame perfect equilibria through trigger strategies. Discount Factor as Patience: The critical threshold represents how much firms must value future profits. When firms are patient enough, the long-term benefits of cooperation outweigh short-term gains from cheating. Trigger Strategies: Grim trigger strategies (permanent reversion to Nash) make deviations costly by threatening perpetual punishment, creating credible deterrence against undercutting. Real-World Implications: This explains tacit collusion in oligopolies, trade agreements, international climate cooperation, and other settings where reputation and future interactions matter.

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