The following matrix gives the payoff for Player 1 and Player 2 with R and L strategies. Assume that they determine their strategies simultaneously and independently.

		Player 2
		R	L
	R	(5, 4)	(-1, -1)
Player 1	L	(-1, -1)	(2, 2)

(a) Does Player 1 have a dominant strategy? Why or why not? What is its dominant strategy, if existing?

(b) Does Player 2 have a dominant strategy? Why or why not? What is its dominant strategy, if existing?

(c) Identify the Nash equilibrium(s) in this game? State explicitly the respective strategy of Player 1 and Player 2 in each Nash Equilibrium.