Army A has a single plane with which it can strike one of three possible targets. Army B has one anti-aircraft gun that can be assigned to one of the targets in defence. Army A wishes to maximize the expected value of the damage and army B wishes to minimize it. The value of target k for each player is vk, with v1>v2>v3>0. Note: For simplicity assume v1=1, v2=2 and v3=3 for each player. Army A can destroy a target only if the target is undefended and A attacks it. In this case the payoffs will be (vk, - vk) respectively for Players A and B. If B successfully defends a target, the payoffs are 0 for each player. Formulate the situation as a strategic game and solve for all Nash equilibrium/ia. Hint: Army A has 3 strategies: Attack 1, Attack 2, and Attack 3. Army B has 3 strategies: Defend 1, Defend 2, and Defend 3.