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Game Theory and Backward Induction
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In a sequential game where players can use mixed strategies, what is the significance of subgame perfect equilibrium in determining optimal strategies?

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A

It ensures that players always choose dominant strategies in every subgame.

B

It allows players to use randomization in their strategies to maximize expected payoffs.

C

It guarantees that players will always reach a cooperative outcome.

D

It implies that players are indifferent between choosing different strategies in every subgame.

Understanding the Answer

Let's break down why this is correct

Subgame perfect equilibrium means a player’s plan is optimal in every part of the game. Other options are incorrect because The idea that every subgame has a dominant strategy is a misconception; Subgame perfect equilibrium does not guarantee cooperation.

Key Concepts

subgame perfect equilibrium
mixed strategies
Topic

Game Theory and Backward Induction

Difficulty

medium level question

Cognitive Level

understand

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Definition
Definition

Game theory is a mathematical framework used to analyze strategic interactions among rational decision-makers. Backward induction is a method used to solve sequential move games, where players make decisions based on the observed actions of others, as illustrated by the game tree format. This concept is significant in business as it helps understand competitive behavior and decision-making processes in various strategic situations.

Topic Definition

Game theory is a mathematical framework used to analyze strategic interactions among rational decision-makers. Backward induction is a method used to solve sequential move games, where players make decisions based on the observed actions of others, as illustrated by the game tree format. This concept is significant in business as it helps understand competitive behavior and decision-making processes in various strategic situations.

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