Two people, Baker and Cutler, play a game in which they choose and divide a prize. Baker decides how large the total prize should be; she can choose either $10 or $100. Cutler chooses how to divide the prize chosen by Baker; Cutler can choose either an equal division or a split where she gets 90% and Baker gets 10%. Draw the payoff table of the game and find its equilibria for each of the following situations:

1. When the moves are simultaneous.
2. When Baker moves first.
3. When Cutler moves first.
4. Is this game a prisoners' dilemma? Why or why not?