1. [5 POINTS] Find all pure strategy Nash equilibrium combinations in the following matrix. What is the value of the game?

	c1	c2	c3	c4
r1	1,-1	2,-2	1,-1	2,-2
r2	-4,4	-5,5	-3,3	3,-3
r3	1,-1	3,-3	1,-1	1,-1
r4	0,0	4,-4	-1,1	-3,3

2. [15 POINTS] Solve the following matrix by: (1) Find all pure strategy Nash equilibrium combinations of pure strategies, if any; (2) If there are none, sequentially eliminate all dominated strategies, if any; (3) Find the Nash equilibrium combination of mixed strategies, by calculating each player's equalizer mixed strategy. What is the value of the game?

	c1	c2	c3
r1	3, -3	5, -5	-4, 4
r2	0, 0	2, -2	5, -5
r3	-2, 2	-3,3	4,-4