Learning Path
Question & Answer1
Understand Question2
Review Options3
Learn Explanation4
Explore TopicChoose the Best Answer
A
Analyzing potential payoffs from the end of the game
B
Randomly selecting a move without consideration of the opponent
C
Identifying the opponent's most likely responses to your actions
D
Focusing solely on your own optimal strategy without regard for the opponent
E
Considering the sequential nature of moves and responses
Understanding the Answer
Let's break down why this is correct
Answer
Backward induction works in games with perfect information where every player can see the whole game tree. A strategy that uses it is called a backward‑induction strategy, which reasons from the final nodes back to the start. Another effective approach is the sequential‑equilibrium strategy, which also relies on anticipating future optimal moves. For example, in a two‑stage game where player 2 chooses cooperate or defect, player 1 can foresee that player 2 will defect at the last move and thus chooses the best reply earlier. These strategies let a player anticipate and counter an opponent’s moves by working backward through the game.
Detailed Explanation
Backward induction means you look at the last move first, then work backwards. Other options are incorrect because Choosing moves randomly ignores the opponent’s strategy; Playing only for yourself ignores the opponent’s reaction.
Key Concepts
Backward induction in game theory
Strategic decision-making
Opponent behavior analysis
Topic
Game Strategies and Responses
Difficulty
easy 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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2
Question 2What is the correct sequence of steps to apply backward induction in a sequential game scenario?
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3
Question 3Game Theory : Backward Induction :: Strategy : ?
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4
Question 4In 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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5
Question 5In 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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6
Question 6In a sequential game, how does backward induction impact a player's strategy selection?
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7
Question 7Which of the following statements are true regarding game theory and backward induction? Select all that apply.
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8
Question 8In a two-player game, if Player A anticipates Player B's response to their move, which strategy best exemplifies backward induction?
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9
Question 9In 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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10
Question 10Arrange 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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