Suppose that two players are playing the following game. Player A can choose eit
ID: 1209515 • Letter: S
Question
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 for player A and the number on the right is the payoff to players b
1. Does player A have a dominant Strategy?
2. Does Player 2 Have a dominant strategy?
3.Player A plays top and b plays left. Is this Nash equilbrium?
4.A plays bottom and B plays left. is this Nash equilbrium?
5. A plays top and B plays right Is this Nash equilbrium?
6. A plays Bottom and B plays right. Is this Nash equilbrium?
Left Right Top 5 5 7 6 Bottom 3 4 6 2Explanation / Answer
1. Does player A have a dominant Strategy?
Yes , Playing TOP is the dominanat strategy for player 1, as it is giving higher payoff regardless of player 2 strategy
2. Does Player 2 Have a dominant strategy?
No, Player 2 doesn't have adominant strategy
3.Player A plays top and b plays left. Is this Nash equilbrium?
No, As both player can be made better off by player 2 deviating to Right
4.A plays bottom and B plays left. is this Nash equilbrium?
No, As players can be made better off by player 1 deviating to Top
5. A plays top and B plays right Is this Nash equilbrium?
Yes, as non of player can be made better-off by deviation from this point.
6. A plays Bottom and B plays right. Is this Nash equilbrium?
No, Players can be made better off by player 1 deviating to Top
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