Question: Two players choose actions from the unit interval. Player is von-Neumann Morgenstern utility, expressed as a function of his action xi [0, 1] and his

Two players choose actions from the unit interval. Player is von-Neumann Morgenstern utility, expressed as a function of his action xi [0, 1] and his opponents action xj [0, 1], is ui(xi, xj) = (i + 3xj 4xi)xi if xj < 2/3 , (3xj 2)xi if xj 2/3 .

Find all pure Nash equilibria of the normal form game G, in which 1 = 2 = 2.

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