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Let's consider the following game: Player 1 chooses a (potentially negative) number x, and player 2 chooses a (potentially negative) number y. The payoff

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Let's consider the following game: Player 1 chooses a (potentially negative) number x, and player 2 chooses a (potentially negative) number y. The payoff for player 1 is given by U1 = 50x - 1.5x2 + xy. The payoff for player 2 is given by U2 = 60y - 0.5y2 + 2xy. Solve for the Nash equilibrium in pure strategies. What is Player 2's strategy y in the equilibrium? Enter a numerical answer below. You may round to the second decimal if necessary.

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