The members of a hierarchical group of hungry lions face a piece of pray. If lion 1 does not eat the prey, the prey escapes and the game ends. If it eats the prey, it becomes fat and slow, and lion 2 can eat lion 1. If lion 2 does not eat lion 1, the game ends; if it eats lion 1, then it may be eaten by lion 3, and so on. Each lion prefers to eat than to be hungry, but prefers to be hungry than to be eaten.

the game in extensive form when there are two lions, coming up with payos that match the preferences.

(b) Find the subgame prefect equilibrium/equilibria for two lions.

(c) Redo parts a and b, but four lions instead of two.