Assignment:
Consider a two-player non-zero-sum game on the unit square in which Player I’s strategy set is X = [0, 1], and Player II’s strategy set is Y = [0, 1], which has a unique equilibrium (x*, y*), where x*, y* ∈ (0, 1). Prove that the equilibrium payoff to each player equals his maxmin value.
Provide complete and step by step solution for the question and show calculations and use formulas.