Player 1 and 2 guess a coin is head or tail sequentially. Each player receives 5 for being the only one who guess correctly, 2 for being one of the two who both guess correctly, and 0 for not guessing correctly. Player 1 guesses rst. (a) If neither player knows the face, and player 2 observes player 1's choice, nd the equilibrium strategy for both players. (b) If player 1 knows the face and player 2 only knows that player 1 knows this information (but does not know the coin is head or tail), and can observe player 1's choice, find the equilibrium strategy for both players