Consider the following representation of a Normal form game.

actions	x	y	z
a	(11,18)	(15,14)	(12,16)
b	(15,9)	(16,16)	(8,19)
c	(8,14)	(18,17)	(11,16)
d	(11,8)	(20,17)	(14,15)

Here each cell in the table represents an ordered pair. First element is payoff of the first player and second element is payoff of the second player. The letters a,b,c,d,x,y,z represent the actions.

1. Now answer the following questions:
2. How many players are there in this game?
3. Write the player set N.
4. Write down the action set for each player.
5. Write down the action profile for this game. [Hint: Action profile is the Cartesian product of all action sets.]