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Posted by on Sunday, November 7, 2010 at 11:13pm.

Suppose that two players are playing the following game. Player 1 can choose either top or bottom, and Player 2 can choose either left of right. The payoffs are given in the following table

Player 2
Left Right

top 9,4 2,3

Player 1

Bottom 1,0 3,1

where the number on the left is the payoff to Player 1 and the number on the right is the payoff to player 2.

1) Determine the nash equilibrium of the game.

2) If each player plays their maximin strategy, what payoff will each of them receive?

Each player I think does not have a dominant strategy.

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