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8. Consider a two-player strategic-form game on the unit square in which player 1 chooses p [0 , 1] and player 2 chooses q [0

8. Consider a two-player strategic-form game on the unit square in which player 1 chooses

p [0, 1] and player 2 chooses q [0, 1]. The player's payoffffs are given by u1(p, q) = q^2 ln(p) p

and u^2(q, p) = p^2 ln(q) q.

(a) Find and graph each player's best-response function.

(b) Find all pure-strategy Nash equilibria.

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