📚 Learning Guide
Game Theory and Backward Induction
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In a sequential game, a player observes their opponent's move and chooses their response based on that observation. What is the most likely reason that the observing player achieves a higher payoff by choosing their strategy after observing the first player's action?

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Learning Path
Learning Path

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Choose the Best Answer

A

They can exploit the first player's choice to maximize their own payoff.

B

They have more information than the first player, allowing for a random choice.

C

The first player's action is irrelevant to their decision-making.

D

They are forced to make a decision based on the first player's move.

Understanding the Answer

Let's break down why this is correct

Answer

When the second player sees the first player’s move, they can choose a response that is the best reply to that specific action instead of guessing. This conditional strategy lets them exploit the first player’s choice, often picking a payoff‑maximizing move that the first player cannot anticipate. Because the first player must commit to a strategy before seeing the second player’s reaction, they cannot adjust to the second player’s best reply. Consequently, the observing player can consistently secure a higher payoff by tailoring their move to the opponent’s action. For example, if the first player chooses “A” and the best reply is “B” that gives the second player a higher payoff, the second player will choose “B” after seeing “A.

Detailed Explanation

Seeing the first player’s move lets the second player pick the best reply. Other options are incorrect because Having extra information does not mean the player will choose randomly; The first player’s action is the key clue the second player uses.

Key Concepts

Game Theory
Backward Induction
Strategic Decision-Making
Topic

Game Theory and Backward Induction

Difficulty

medium level question

Cognitive Level

understand

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