Bill and Ted are deciding what musical instruments they want to learn to play for their band. They can pick between the guitar, keyboard, and the drums. They both want to have a good band, but also each has a preference over what toplay. Both like the drums over all else. However, Bill likes the keyboard more thanthe guitar and Ted likes the guitar more than the keyboard. What is crucial is that each chooses a different instrument, otherwise the band is pretty terrible. The actual combination does not affect the quality of the band. One night, Bill and Ted simultaneously reveal to each other what instrument they have bought decided to learn. Since they bought the instrument they are committedto learning it! Given the information above, 1. Does either Bill or Ted have a dominant/dominated strategy? Explain.
2. If Bill picks the keyboard, is it a best response for Ted to pick the drums? Explain.
3. If Ted picks the guitar, is it a best response for Bill to pick the keyboard? Explain.
4. Can there exista Nash equilibrium in which Bill picks the drums and Ted picks the keyboard? Explain.
5. Can there exist a Nash Equlibrium in which Bill picks the guitar and Ted picks the drums? Explain.

Cooper sues company a in state court in south carolina, where he lives, for negligence alleging personal injury and property damage of $100,000 after a truck driven by an employee of company a rear-ended his pickup truck. company a is incorporated in delaware, has its headquarters in new york, but does a substantial amount of business in south carolina. claiming diversity of citizenship, company a seeks removal to federal district court, but cooper opposes the motion. which of the following is true regarding whether the case may be properly removed to federal district court? the amount in controversy satisfies diversity requirements; and if company a's nerve center is in a state other than south carolina, then the case may be properly removed to federal court.the amount in controversy satisfies diversity requirements; and because company a is incorporated and has its headquarters in a state other than south carolina, the case may be properly removed to federal court.because the amount in controversy satisfies diversity requirements and company a is incorporated in a state other than south carolina, the case may be properly removed to federal court regardless of where company a's headquarters, nerve center, or principal place of business is located.because the amount in controversy satisfies diversity requirements and company a is headquartered in a state other than south carolina, the case may be properly removed to federal court regardless of where company a is incorporated and regardless of the location of its nerve center.because the amount in controversy fails to satisfy jurisdictional requirements, regardless of the location of company a, the case may not be removed to federal court.