game theory

One island is occupied by Army 2, and burned, and has to fight if the bridge was there is a bridge connecting the island to burned. the mainland through which Army 2 could retreat. Burn Not Burn Stage 1: Army 2 could choose to burn the bridge or not in the very beginning. Attack 1 Not Attack Not Stage 2: Army 1 then could choose to 2 attack the island or not. Fight 0, 5 Stage 3: Army 2 could then choose to Retreat Fight 0, 5 fight or retreat if the bridge was not -2, -2 5 ,0 -2, -2 burned, and has to fight if the bridge was First, consider the blue subgame. What is burned. a subgame perfect equilibrium of the Not Burn blue subgame? Burn Attack 1 Not Attack Not O (Not, Retreat). Fight 0, 5 Retreat Fight 0, 5 -2, -2 5 , 0 -2, -2 O (Not, Fight). First, consider the blue subgame. What is a subgame perfect equilibrium of the O (Attack, Fight). blue subgame? O (Attack, Retreat)