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Question - Consider the following game with two players A and B. Player A has three actions: Top, middle and bottom. Player B has two actions left and right. The payoffs are shown in the following payoff matrix:

 

Player B

Left

Right

Player A

Top

(1, 2)

(2, 3)

Middle

(0, 1)

(1, 4)

Bottom

(3, 0)

(1, 2)

A) Does either player have a dominant strategy? Explain.

B) Find all the Nash Equilibria to the game.

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