Consider the following two-player game. First, player 1 selects a number x≥0. 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: u1(x; y1) = −3y21 + 6y1y2 −13x2 + 8x Player 2’s payoff is: u2(y2) = 6y1y2 −6y22 + 12xy2 Draw the game tree of this game and identify its Subgame Perfect Nash Equilibrium.

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