Problem 4 There are 2 students taking an exam. If everyone writes their name on their exam, the teacher will be able to enter all scores. Even if only one person doesn't write her name, the teacher will be able to gure out who it is and enter all scores. However, if both people don't write clown their name, then the teacher can't tell which exam belongs to which person, so she must give a zero to any students who didn't write her name clown. Assume that each person who writes his name on his exam gets a utility of 100. If you don't write your name down but I am able to gure out whose exam it is, you get a utility of 101 [you are a little lazy). If you get a zero on the exam, your utility is ll. 1What are all Nash equilibria of this game