In a simultaneous move game with two players,
A)if neither player has a dominant strategy, we successively eliminate each player's subordinate strategy.
B)a player chooses among two or more pure strategies according to pre-specified probabilities.
C)if one player has a dominant strategy and the other doesn't, you can't reach a Nash equilibrium.
D)if both players have a dominant strategy, these constitute their Nash equilibrium strategies.

Question

Quizplus · Accepted Answer

If both players have a dominant strategy, then they will both choose that strategy regardless of what the other player does. This constitutes a Nash equilibrium. Therefore, the best choice is D. If both players have a dominant strategy, these strategies constitute their Nash equilibrium as no player has an incentive to deviate from their dominant strategy.

In a Simultaneous Move Game with Two Players