Zermelo the lion would like to hunt a gazelle, however, if he hunts the gazelle he will be tired and vulnerable to another lion (Yunus) attacking and eating Zermelo! There are other lions in the pride, Xavier, Wesley and Victor. If Zermelo does not hunt the gazelle, the game ends and Zermelo (and the other lions) go hungry... If Zermelo hunts a gazelle, Yunus can choose whether or not to attack Zermelo. If Yunus does not attack Zermelo, the game ends and Yunus (and later lions) go hungry. If Yunus attacks and eats Zermelo (only possible if Zermelo hunts a gazelle) then Xavier has the opportunity to attack and eat Yunus, or end the game and go hungry. If Xavier attacks and eats Yunus, Wesley has the opportunity to attack and eat Xavier. If Wesley eats Xavier, Victor can eat Wesley... All lions preferences over the different possible outcomes are: (a) If a lion goes hungry, he is safe from attack, but hungry, and gets a payoff of 0 (b) If a lion eats, and is not attacked and eaten by another lion, their payoff is 1 (c) If a lion eats, and is attacked and eaten by another lion, their payoff is -1 Draw the game tree representing this game. What is the SPNE? Assuming the lions are familiar with SPNE, should Zermelo eat the gazelle?