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.Which statement is true?
A) John and Trevor both have a dominant strategy in this game.
B) Only John has a dominant strategy in this game.
C) Only Trevor has a dominant strategy in this game.
D) Neither John nor Trevor have a dominant strategy 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.Which statement is true?
A) John and Trevor both have a dominant strategy in this game. 
B) Only John has a dominant strategy in this game. 
C) Only Trevor has a dominant strategy in this game. 
D) Neither John nor Trevor have a dominant strategy in this game.

Quizplus · Accepted Answer

A dominant strategy is a strategy that is the best response for a player regardless of the other player's choice. Neither John nor Trevor have a dominant strategy in this game because their payoffs depend on the other player's choice. For example, if John chooses Black and Trevor chooses Black, John gets a payoff of 3 and Trevor gets a payoff of 2. However, if John chooses White and Trevor chooses Black, John gets a payoff of 2 and Trevor gets a payoff of 3. Thus, John's best response depends on Trevor's choice, and vice versa, so neither player has a dominant strategy.

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