List the set of pure strategies of each player- depict the

Question

Answer the following questions for the zero-sum game with incomplete information with two players I and II, in which each player has two types, TI = {I1, I2} and TII = {II1, II2}, the common prior over the type vectors is

p(I₁,II₁) = 0.4, p(I₁, II₂) = 0.1, p(I₂, II₁)= 0.2, p(I₂, II₂) = 0.3.

(a) List the set of pure strategies of each player.

(b) Depict the game in strategic form.

(c) Calculate the value of the game and find optimal strategies for the two players.