If player 1 has a dominant strategy,then player 2:
A) must also have a dominant strategy.
B) may or may not have a dominant strategy, but will always lead to a Nash equilibrium.
C) may or may not have a dominant strategy.
D) will not be able to reach an optimal solution to the game.
E) will block this dominant strategy and force player 1 to another strategy.

Question

Quizplus · Accepted Answer

If player 1 has a dominant strategy, player 2 may or may not have a dominant strategy. Having a dominant strategy is not a requirement for reaching a Nash equilibrium, so option B is incorrect. Option D is not true because even if player 2 does not have a dominant strategy, they can still reach an optimal solution through other means. Option E does not make sense because a player cannot block another player's dominant strategy - it is dominant precisely because it is the best strategy no matter what the other player does.

If Player 1 Has a Dominant Strategy,then Player 2