Stag hunt has two equilibria and only the good one is strong. Prisoner’s dilemma has only 1 bad equilibrium. But here we’re talking asymmetrical Snowdrift/Chicken, where both the bad and good equilibria are strong, but, if there’s uncertainty about which is which, the best outcome is non-equilibrium mutual cooperation.
Stag hunt has two equilibria and only the good one is strong. Prisoner’s dilemma has only 1 bad equilibrium. But here we’re talking asymmetrical Snowdrift/Chicken, where both the bad and good equilibria are strong, but, if there’s uncertainty about which is which, the best outcome is non-equilibrium mutual cooperation.