Mixed-Strategy Nash Equilibrium

Edit the 2×2 payoff matrix and watch the Nash equilibrium update in real time. See how replicator dynamics evolves population strategies. Click the simplex to set initial conditions.

Nash (1950): every finite game has a mixed-strategy equilibrium. For 2×2 symmetric games, the mixed NE is p* = (A22-A21)/(A11-A12-A21+A22). Replicator dynamics: dp/dt = p(f₁-f̄), where fitness is linear in payoffs. NE = fixed points of replicator dynamics.