Suppose that two players are playing the following game. Player 1 can choose eit

Question

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: 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 A has _____________________, and player B has ___________________

A)a dominant strategy to play Top; a dominant strategy to play Left.
B)no dominant strategy; a dominant strategy to play Left.

C)a dominant strategy to play Bottom; no dominant strategy.
D)no dominant strategy; a dominant strategy to play Right
E)None of these

Explanation / Answer

C) If Player A plays bottom he is better off no matter what B does. B is better of playing left if A plays top and right if A plays bottom so as such has no dominant strategy.

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