What is true about the following payoff matrix? Only player A has a dominant str

Question

What is true about the following payoff matrix?

Only player A has a dominant strategy. Only player B has a dominant strategy. Both player A and player B have dominant strategies. Neither player A nor player B has a dominant strategy.
A: cooperate A: not cooperate B: cooperate A: 2, B: 2 A: 5, B: 5 B: do not cooperate A: 3, 6: 1 A: 0, B: 0 What is true about the following payoff matrix? Only player A has a dominant strategy. Only player B has a dominant strategy. Both player A and player B have dominant strategies. Neither player A nor player B has a dominant strategy.

Explanation / Answer

The following statement is true about the given pay-off matrix:

(b) Only player B has a dominant strategy.

Since even when A does not cooperate, B cooperates but when A cooperates, B co-operation is less are does not cooperates. B strategy is not dependant on A's decision. Hence B has a dominant strategy.

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