2. (40 points) Two opposing armies, Red and Blue, must each decide whether to attack or defend. These decisions are made without knowledge of the opposing army's decision. The payoff table, in terms of value of property gained or lost for the red army, appears below. Any gains for the red army are losses for the Blue army. Blue Army Attack Defend Attack 30 50 Red Army Defend 40 0 What are the optimal strategies for red and blue armies