Problem
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) = p(7q - 3) + 4 - 3q and u2(q, p) = q(7p - 4) + 5 - 4p.
i. Find and graph each player's best-response function.
ii. Find all pure-strategy Nash equilibria