Coordination Games

Game Theory · Axiom Academy

Unit 2 - Dominance and Nash Equilibrium Excellent work! You've completed this analysis of coordination games. Here's what we learned: Multiple Equilibria: Coordination games typically have multiple Nash equilibria, creating strategic uncertainty about which outcome will occur. Pareto Ranking: In games like Stag Hunt, equilibria can be Pareto-ranked. The (Stag, Stag) outcome Pareto dominates (Hare, Hare) because both players are strictly better off. Risk Dominance: The safer equilibrium (Hare, Hare) is risk-dominant, which may be chosen by cautious players despite being Pareto inferior. Focal Points: Cultural norms, communication, and salient features help players coordinate on a particular equilibrium by creating a focal point. Coordination Problem: Even when mutual cooperation is best for everyone, achieving it requires players to believe others will also cooperate - a fundamental challenge in many social and economic interactions. Coordination games reveal why convention, culture, and communication are essential for achieving efficient outcomes. Look for these patterns in real-world scenarios like technology standards, traffic conventions, and social norms!

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