Prisoner's Dilemma

Game Theory · Axiom Academy

A step-by-step analysis of the classic game theory problem Excellent work! You've completed the Prisoner's Dilemma analysis. Here's what we learned: Dominant Strategy Equilibrium: When both players have a dominant strategy (Confess), the outcome is determined regardless of what the other player does. Nash Equilibrium: At (Confess, Confess), neither player can improve their payoff by unilaterally changing their strategy. This is a stable outcome. Pareto Inefficiency: The Nash equilibrium (5 years each) is worse for both players than mutual cooperation (1 year each), but individual incentives prevent cooperation. Real-World Applications: This model explains arms races, price wars, environmental pollution, and other situations where individual rationality leads to collectively suboptimal outcomes. The Prisoner's Dilemma illustrates a fundamental tension in game theory: rational individual behavior can lead to outcomes that are bad for everyone. Understanding this helps us design better institutions, contracts, and mechanisms to promote cooperation.

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