2. Consider the following strategic situation. Two opposed armies are poised to seize an island. Each army's general can choose either "attack" or "not attack". In addition, each army is either "strong" or "weak" with equal probability, and an army's type is known only to its general. Payoffs are as follows: The island is worth M if captured. An army can capture the island either by attacking if the opponent does not attack or by attacking if the opponent also attacks when it is strong and its opponent is weak. If two armies of equal strength both attack, neither captures the island. There is no cost of attacking if the opponent does not attack. If both attack, an army has a cost of attacking, which is s when it is strong, and w when it is weak (s