Learning Path
Question & Answer1
Understand Question2
Review Options3
Learn Explanation4
Explore TopicChoose the Best Answer
A
dominant
B
mixed
C
Nash equilibrium
D
dominated
Understanding the Answer
Let's break down why this is correct
Answer
Backward induction lets each player look ahead from the end of the game and reason backward about what will happen next. By doing this, each player can figure out which actions will lead to the best outcome for them, assuming everyone else also plays optimally. This process identifies the subgame perfect equilibrium strategy for each player, meaning the best plan of action at every possible point in the game. For example, in a simple two‑player bargaining game, backward induction shows that the first player offers a split that the second player will accept, leading to a stable outcome. Thus, the blank is filled with “subgame perfect equilibrium.
Detailed Explanation
A dominant strategy is one that gives a player the best payoff no matter what the opponent does. Other options are incorrect because Mixed strategies mean you randomize your moves; A Nash equilibrium is a situation where no one can improve by changing alone.
Key Concepts
Game Theory
Backward Induction
Strategic Decision-Making
Topic
Game Theory and Backward Induction
Difficulty
easy level question
Cognitive Level
understand
Practice Similar Questions
Test your understanding with related questions
1
Question 1In 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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2
Question 2In 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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3
Question 3In 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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4
Question 4In a sequential game, how does backward induction impact a player's strategy selection?
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5
Question 5In 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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6
Question 6In 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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7
Question 7Arrange 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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8
Question 8In 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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