📚 Learning Guide
Game Theory and Backward Induction
easy

In 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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Choose 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

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Question 1

In 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 2

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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Question 3

In 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 4

In a sequential game, how does backward induction impact a player's strategy selection?

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5
Question 5

In 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 6

In 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 7

Arrange 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 8

In 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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