We consider a game between two players, Alice and Bob. Alice chooses a number x (between -infinity and +infinity), and Bob chooses a number y (between -infinity and +infinity).
Alice's payoff is given by the following function:
14 x + 97 x y - 36 x 2 . (the last entry is "x squared".)
Bob's payoff is given by the following function:
7 y + 95 x y - 47 y 2 . (the last entry is "y squared".)
Calculate Bob's strategy in the (unique) Nash equilibrium of this game.