There are 36 students, each to choose a real number between 0 and 100, aiming to guess the others' average deflated "D=70% of the others' average choice." Specifically, let s; be student i's choice and a; = (Ejtis;)/35, then the payoff is uj(s)=100 - (s; -.7a.;) . Note, given a;, this is at most 100, and exactly 100 when s;= .7aj. In words, a strategy pays off less the more distant it is from the deflated average . 7a.i. Exercise: Compute the rationalizable strategies. Hints: (i) Compute player i's best response to the belief other players play a j. (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