Learning Path
Question & Answer1
Understand Question2
Review Options3
Learn Explanation4
Explore TopicChoose the Best Answer
A
Player A plays a move that maximizes their payoff considering Player B's likely response.
B
Player A randomly chooses a move without considering Player B's strategy.
C
Player A follows a defensive strategy regardless of Player B's potential actions.
D
Player A chooses the first move that comes to mind without analyzing outcomes.
Understanding the Answer
Let's break down why this is correct
Answer
Backward induction means thinking backwards from the end of the game to the beginning, assuming every player will make the best possible choice at each step. Player A first guesses what B will do after A’s move, then chooses a move that leads to the best outcome given B’s expected reply. This is the hallmark of backward induction: you solve the game by starting at the last decision point and working your way back. For example, in a simple two‑move game where A can choose X or Y, and B will pick the higher payoff after seeing A’s choice, A will choose the option that gives B a lower payoff, knowing B will react optimally. Thus, the strategy that best exemplifies backward induction is one where Player A plans by anticipating B’s optimal response and selects the move that leads to the best guaranteed result.
Detailed Explanation
Player A looks ahead to see how Player B will react. Other options are incorrect because Choosing a move at random ignores what the opponent will do; Sticking to a defensive plan no matter what is rigid.
Key Concepts
Backward Induction in Game Theory
Strategic Decision-Making
Player Responses
Topic
Game Strategies and Responses
Difficulty
medium level question
Cognitive Level
understand
Practice Similar Questions
Test your understanding with related questions
1
Question 1In an extensive form game, if Player A chooses to cooperate while Player B has the option to defect, what will Player B's optimal strategy be using backward induction?
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Question 2In a sequential move game, if Player A knows Player B will always choose the highest payoff available, how should Player A use backward induction to maximize their own payoff?
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Question 3What is the correct sequence of steps to apply backward induction in a sequential game scenario?
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Question 4Game Theory : Backward Induction :: Strategy : ?
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Question 5In a game where Player A moves first and Player B observes that move before making their own decision, which of the following scenarios best illustrates the concept of backward induction?
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Question 6In a sequential move game analyzed using backward induction, players anticipate the actions of their opponents to select moves that maximize their own payoff. This technique is primarily used to determine the _____ strategy for each player.
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Question 7In a sequential game, how does backward induction impact a player's strategy selection?
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8
Question 8In a competitive game scenario where two players must decide their next move while anticipating each other's responses, which strategy best utilizes backward induction for optimal decision-making?
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9
Question 9Arrange the steps a player should take in a game theory scenario using backward induction to maximize their strategy: A) Analyze potential outcomes and payoffs, B) Decide on the current move based on the analysis, C) Observe the opponent's previous moves, D) Make an informed strategy choice based on the observed responses.
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10
Question 10In a two-player game scenario, which of the following strategies can effectively leverage backward induction to anticipate an opponent's moves? Select all that apply.
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