Calculate and graph each players best-response function as

Question

Consider a game in which, simultaneously, player 1 selects any real number x and player 2 selects any real number y. The payoffs are given by:

(a) Calculate and graph each player's best-response function as a function of the opposing player's pure strategy.

(b) Find and report the Nash equilibria of the game.

(c) Determine the rationalizable strategy profiles for this game.