 Stag hunt

The stag hunt is a coordination game with a mutually beneficial risky action and a safer action. A representative two-player payoff matrix isBoth mutual stag and mutual hare are Nash equilibria: neither player can improve by deviating alone. Mutual stag improves both players' payoffs relative to mutual hare, but choosing stag against an uncertain partner can be risky. If the partner chooses stag with probability $p$, stag yields $4p$ while hare yields three, so stag is a best response exactly when $p\ge 3/4$. The example separates mutual gain from assurance that the other player will cooperate.

The Stag Hunt is a concept from game theory that illustrates a scenario in which individuals must choose between cooperation and self-interest. It is named after a hypothetical situation where a group of hunters must decide whether to work together to hunt a stag or act alone to hunt a hare. In the Stag Hunt, the following assumptions are made: - If all hunters cooperate and work together, they can successfully capture the stag, which yields a higher payoff for each participant.