Find the set of nash equilibria of this game- prove that

Question

Let x₁, x₂,...,x_n and y₁, y₂,...,y_n be positive numbers. Consider the two-player strategic game with the following payoff matrix.

(a) Find the set of Nash equilibria of this game.

(b) Prove that the set of correlated equilibria of this game is the convex hull of the set of Nash equilibria.