William and Henry are participants in a televised game show, seated in separate booths with no possibility of communicating with each other. Each one of them is asked to submit, in a sealed envelope, one of the following two requests (requests that are guaranteed to be honored):
Give me $1,000.
Give the other participant $4,000.
Describe this situation as strategic-form game. What is the resulting game? What will the players do, and why?