A) Find a symmetric Nash equilibrium to this game. That is, what number is a best response to everyone else submitting the same number?
B) Show that choosing the number 5 is a dominated strategy. (Hint:What would class average X have to be for the target number to be 5?)
C) Show that choosing the number 90 is a dominated strategy.
D) What are all of the dominated strategies?
E) Suppose Elsa believes that none of her classmates will play the dominated strategies found in part (d). Given these beliefs, what strategies are never a best response for Elsa?