User Consider the Pick a Number Game, where each player i picks an integer in the set Si ={1,2,...,100} and the winning number is the choice that is nearest to 3/4 of the average of all choices submitted. Suppose you are a player in this game and you have the following belief: None of the other players will play a dominated strategy; each player will chose an undominated strategy at random: all undominated strategies are equally likely. Assume that the impact of any one player's strategy on the average value is negligible. An undominated strategy is a strategy that is not dominated in the original game. Determine the set of best responses to this belief. You'll need to consider the expected value (the average) among undominated strategies