Do normal-form games exhibit perfect or imperfect information? Explain ? Given an extensive-form game, prove that each pure-strategy profile induces a unique path through the tree ? Consider the following two-player game: First, player 1 selects a number x, which must be greater than or equal to zero. Player 2 observes x. Then, simultaneously and independently, player 1 selects a number y1 and player 2 selects a number y2, at which point the game ends. Player 1’s payoff is Represent this game in the extensive form.