Economics.

Consider the following game in strategic form. L C R. U 3, 3 ),0 20, 1 D 0,0 6, 6 1, 1 (a) Show that the correlated strategy p such that p(U, L) = 4/5 and p(D, C) = 1/5 is a correlated equilibrium with public communication. (b) Show that the correlated strategy p such that p(U, L) = 1/2, p(U, C) = p(D, L) = 3/20 and p( D, C) = 1/5 is a correlated equilibrium with mediated communication. (c) Consider a correlated strategy p such that p(U, R) = 1/10. Show that p is not a correlated equilibrium with mediated communication