Question: Consider a game in which, simultaneously, player 1 selects a number x [2, 8] and player 2 selects a number y [2, 8].

Consider a game in which, simultaneously, player 1 selects a number x ∈ [2, 8] and player 2 selects a number y ∈ [2, 8]. The payoffs are given by:

u1(x, y) = 2xy − x 2 u2(x, y) = 4xy − y 2

.

Calculate the rationalizable strategy profiles for this game.

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