Stag Hunt
Two hunters each choose Stag or Hare. Payoffs: (Stag, Stag) = (4, 4); hunting Stag alone yields 0 while the defector hunting Hare gets 3; (Hare, Hare) = (3, 3). In the mixed-strategy Nash equilibrium, with what probability does each player hunt Stag? Express as a fraction.
Related problems & prerequisites
Worth solving first
- Grim Trigger 5.0/10
- Solve the Matrix 5.0/10
Source: The stag hunt, from Jean-Jacques Rousseau's 'Discourse on Inequality' (1755); formalised in the modern game-theory literature. Statement written for AxiomIQ.