Suppose the two-thirds game described in the chapter were changed to the “average” game, so that the class had to guess a number between 0 and 100, and the person who wins is the person who guesses closest to the average number.

a. What would the Nash equilibrium likely be?

b. If your class played this “average” game, would you expect the equilibrium to approach the Nash equilibrium?

c. If the equilibrium in playing the real-world game is not the Nash equilibrium, what might explain the difference?