First player 1 selects a real number x which must be, Game Theory

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First player 1 selects a real number x which must be

Consider the following two-player game.

First, player 1 selects a real 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

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