📚 Learning Guide
Game Strategies and Responses
easy

In game tree analysis, which of the following best describes the outcome when player A has a dominant strategy over player B in a simultaneous game?

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Learning Path

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Choose the Best Answer

A

Player A will always win regardless of player B's strategy.

B

Player B has no strategy to counter player A’s dominant strategy.

C

The outcome will depend on player B's choice of strategy.

D

Both players will have equal chances of winning.

Understanding the Answer

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Answer

When player A has a dominant strategy, A will always choose that action regardless of what B does, because it yields a higher payoff in every possible scenario. In a simultaneous‑move game, this means B cannot influence A’s choice; A’s payoff is fixed by the dominant action. Consequently the game’s equilibrium is simply A playing the dominant strategy while B best‑responds, often leaving B with a suboptimal outcome. For example, if A’s dominant choice is “Cooperate” and B’s best reply is “Defect,” the final payoffs are predetermined by A’s choice, making the game’s result straightforward.

Detailed Explanation

A’s dominant strategy is the best choice no matter what B does. Other options are incorrect because The mistake is thinking a dominant strategy guarantees a win; This option assumes B’s choice matters.

Key Concepts

game tree analysis
Topic

Game Strategies and Responses

Difficulty

easy level question

Cognitive Level

understand

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