Learning Path
Question & Answer1
Understand Question2
Review Options3
Learn Explanation4
Explore TopicChoose the Best Answer
A
Player B will also have a dominant strategy.
B
Player B's strategy does not depend on Player A's strategy.
C
Player B will always achieve a higher payoff.
D
Player B may choose a strategy that leads to a lower payoff than if Player A did not have a dominant strategy.
Understanding the Answer
Let's break down why this is correct
Answer
In game theory, a dominant strategy is one that provides a player with the best outcome, no matter what the other player does. If Player A has a dominant strategy and chooses to play it, we can infer that Player B must consider how to respond to Player A's choice to maximize their own payoff. Player B may need to adjust their strategy based on the expected outcome of Player A's dominant play. For example, if Player A always chooses to cooperate in a game, Player B might find it beneficial to also cooperate to achieve the best possible result for themselves. This situation can lead to a Nash Equilibrium, where both players are making the best choices they can, given the strategy of the other player.
Detailed Explanation
Player B might pick a strategy that gives them less reward. Other options are incorrect because Some think Player B must also have a best choice; It's a common mistake to think Player B's choices don't matter.
Key Concepts
dominant strategy
Topic
Nash Equilibrium in Game Theory
Difficulty
easy level question
Cognitive Level
understand
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