1. In many situations, people who act according to standard economic predictions may do worse than those who do not. Consider the beauty contest we played in class where each person chooses a number from 0 to 100 and the winner is cloSest to 2/3 ofthe average. Let's assume there are 10 people playing the game a. [fall 10 players are rational, what is the winning number? Now consider, for the rest of the question, the case where 9 play the Nash equilibrium, the answer to part a, and the 10Lh plays fty, since it is half of 100. b. What is the winning number? c. If one player always chooses 50 and the other nine are completely rational, what number would the nine rational players choose