Reference no: EM13153954
Suppose that two players are playing the following game. Player 1 can choose either Top or Bottom, and Player 2 can choose either Left or Right. The payoffs are given in the following table:
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Player 2
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Player 1
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Left
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Right
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Top
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6 5
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9 4
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Bottom
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7 4
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5 3
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where the number on the left is the payoff to Player A, and the number on the right is the payoff to Player B.
A) Does player 1 have a dominant strategy, and if so what is it?
B) Does player 2 have a dominant strategy and if so what is it?
C) For each of the following strategy combinations, write TRUE if it is a Nash Equilibrium, and FALSE if it is not:
i) Top/Left ii) Top/Right iii) Bottom/Left iv) Bottom Right
D) What is Player 1's maximin strategy?
E) What is player 2's maximin strategy?
F) If the game were played with Player 1 moving first and player 2 moving second, using the backward induction method , what strategy will each player choose?
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