The following payoff matrix represents a simultaneous-move game between two players: John and Trevor. Each player has to choices: Black or White. The first number in each cell is the payoff to John, and the second number is the payoff to Trevor.

-Refer to the table above.What is the equilibrium of this game?
A) John and Trevor both choose Red.
B) John and Trevor both choose Yellow.
C) John chooses Red and Trevor chooses Yellow.
D) There is no dominant strategy equilibrium in this game.

Question

The following payoff matrix represents a simultaneous-move game between two players: John and Trevor. Each player has to choices: Black or White. The first number in each cell is the payoff to John, and the second number is the payoff to Trevor.
 
-Refer to the table above.What is the equilibrium of this game?
A) John and Trevor both choose Red. 
B) John and Trevor both choose Yellow. 
C) John chooses Red and Trevor chooses Yellow. 
D) There is no dominant strategy equilibrium in this game.

Quizplus · Accepted Answer

There is no dominant strategy equilibrium in this game, which means there is no combination of choices that is the best for both players regardless of the other's choice. Therefore, there may be multiple possible Nash equilibria (where neither player has an incentive to change their choice given the other's choice), but without additional information or assumptions, it is impossible to determine which option(s) would be chosen.

The Following Payoff Matrix Represents a Simultaneous-Move Game Between Two