Question 2 Suppose that two players are playing the following game. Player A can

Question

Question 2 Suppose that two players are playing the following game. Player A can choose either Top or Bottom, and Player B can choose either Left or Right. The payoffs are given in the following table where the number on the left is the payoff to Player A, and the number on the right is the payoff to Player B. Player B Left Right Player A Top Bottom 3 4 Does Player A have a dominant strategy? If so, what is it? Top is a dominant strategy for Player A Bottom is a dominant strategy for Player A Both of the above None of the above F7 4 5 8 9 0

Explanation / Answer

2) Top has dominant strategy for player A

Player A gets higher payoff of 5 when player B plays left. When player B plays right player A gets higher payoff of 7 by playing top. So player A chooses top irrespective of player B's decision. So A has dominant strategy of playing top.

7) this is not the nash equilibrium.

Nash equilibrium- player A chooses top and player B chooses right.

Top is the dominant strategy for A. B does not have dominant strategy. So nash equilibrium is A chooses top and B chooses right.

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