Assignment:
In a two-player zero-sum game on the unit square where Player I’s strategy set is X = [0, 1] and Player II’s strategy set is Y = [0, 1], check whether or not the game associated with each of the following payoff functions has a value, and if so, find the value and optimal strategies for the two players:
a) u(x, y) = 1 +4x + y - 5xy.
b) u(x, y) = 4 +2y - 4xy.
Provide complete and step by step solution for the question and show calculations and use formulas.