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Consider the following representation of a Normal form game.

actions x y z w
a (34,27) (22,33) (40,15) (32,11)
b (35,40) (35,18) (46,16) (11,12)
c (8,28) (8,34) (43,12) (11,14)
d (18,43) (9,29) (49,8) (29,49)
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,w represent the actions.

You have to write down the table in your answer script.

Declaration
I have noted down the table correctly in my script.
unanswered
Now answer the following questions:

Perform iterative elimination of dominated strategies on the game. Draw the new table for each iteration as shown in the lecture video. Write corresponding actions at left and up of the table. Explain why are you removing each row or column. [9]
Is there any pure stategy Nash equilibirum? If there is, which one? [1]


Sagot :