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There are 36 students, each to choose a real number between 0 and 100, aiming to guess the others' average deated \"D=70% of the others' average choice.\" Specically, let s; be student i's choice and ai = (El-#9135, then the payoff is ui(s)=100 (s1 -.7a_i)2. Note, given ai, this is at most 100, and exactly 100 when s1: .7a_i. In words, a strategy pays off less the more distant it is from the deated average .7ai. Exercise: Compute the rationalizable strategies. Hints: (i) Compute player i's best response to the belief other players play ai. (ii) Then vary the beliefs, from one extreme to another, to compute the set Bi . (iii) Then proceed deleting strategies not in Bi. (iv) Then in the game with the reduced strategy sets (following deletions), apply recomputed Bi, and delete any strategies outside it. (v) Iterate