Stag Hunt

The Stag Hunt, traced to Rousseau, models the tension between social cooperation and personal security. Two hunters can take a stag together (a high payoff, but only with full cooperation) or each hunt a hare alone (a safe, smaller payoff). Unlike the Prisoner’s Dilemma there is no dominant strategy — instead there are two pure Nash equilibria.

The game has no dominant strategy: each player’s best choice depends on what the other does. This yields two pure Nash equilibria. The first is Pareto-optimal — both hunt the stag (10, 10), maximising joint return. The second is risk-dominant — both hunt the hare (7, 7): the hare is a guaranteed solo payoff regardless of the partner’s behaviour. A player who commits to the stag and is abandoned gets nothing (0). It is precisely this fear of loss that pulls rational players toward the worse but safer equilibrium.

For pure coordination problems where everyone wins by agreeing on the same goal: standard-setting in tech (a shared format vs. going it alone), climate accords, currency and security alliances, organizational alignment. Whenever the best outcome is reachable only through complete mutual reliability.

The lever is not the payoff itself but trust. Signaling and cheap talk — credible declarations of intent, visibly going first, incremental trust-building — shift the expectation that the partner will follow. On top of that, institutions that lower the penalty for a failed stag hunt (insurance, subsidy, a backstop guarantee) help: a player who is left out on the stag then loses less, which moves the equilibrium from risk-dominant toward payoff-dominant.

Two firms that establish a lucrative open standard only if both back it — otherwise each sticks with its safe proprietary island. Nations that honour a climate accord only if they can count on the others. A team that carries an ambitious shared vision only if no one defects to safety.