Consider the following static game of incomplete information. Nature selects the type (c) of player 1, where c = 2 with probability 2/3 and c = 0 with probability 1/3. Player 1 observes c (he knows his own type), but player 2 does not observe c. Then the players make simultaneous and independent choices and receive payoffs as described by the following matrix.
(a) Draw the normal-form matrix of this game.
(b) Compute the Bayesian Nash equilibrium.