Problem 4: [20 pts] Consider the following situation. Anne and Bob are a married couple. Anne begins the game by deciding whether to go to Little Szechuan or McDonald's. Then at the same time, Bob chooses whether or not to "pay attention" to Anne's choice. If Bob chooses to pay attention, then Bob observes Anne's choice. On the other hand, if Bob chooses to "not pay attention," then Bob receives no information about Anne's choice. Then given whatever information Bob has available, Bob makes a decision of whether to go to Little Szechuan or McDonald's.