Problem
Consider an N person variant of the guessing game in discussed, but suppose that the winning guess is a number equal to 2/3 the overall average chosen. Again assume that level 0 players would pick randomly in the interval between 0 and 100.
1) What is the level 1 response (e.g., the best response to a random choice?)
2) Conceptually, what is a level 2 play? What would be the level 2 play in this case?