1. 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 (the draws for each army are independent and an army's type is known only to its general). A strategy for the game is therefore a pair (A or NA if strong, A or NA if weak). Payoffs are as follows. The island is worth M if captured. An army can capture the island either by attacking when its opponent does not or by attacking when its rival does if it is strong and its rival is weak. If two armies of equal strength both attack, neither captures the island. An army also has a cost of fighting, which is s if it is strong and w if it is weak, where s