The following figure depicts four simultaneous-move games. The first element of each payoff cell is the payoff to Player A, and the second element is the payoff to Player B.

-Refer to the figure above.In which of these simultaneous-move games,do both players A and B have a dominant strategy?
A) (1)
B) (2)
C) (3)
D) (4)

Question

The following figure depicts four simultaneous-move games. The first element of each payoff cell is the payoff to Player A, and the second element is the payoff to Player B.
 
-Refer to the figure above.In which of these simultaneous-move games,do both players A and B have a dominant strategy?
A) (1) 
B) (2) 
C) (3) 
D) (4)

Quizplus · Accepted Answer

In game 2, both players have a dominant strategy. Player A's dominant strategy is to choose strategy C regardless of what Player B chooses, as it always results in a higher payoff for Player A. Likewise, Player B's dominant strategy is to choose strategy C regardless of what Player A chooses, as it also always results in a higher payoff for Player B. Therefore, both players have a dominant strategy in game 2. However, in games 1, 3, and 4, neither player has a dominant strategy.

The Following Figure Depicts Four Simultaneous-Move Games