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HomeHomework HelpeconomicsGame Theory Basics

Game Theory Basics

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.

intermediate
3 hours
Economics
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Overview

Game theory is a powerful tool for understanding strategic interactions among rational decision-makers. It provides a framework for analyzing situations where the outcome depends on the choices of multiple players. Backward induction is a key method within game theory that allows players to determin...

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Key Terms

Nash Equilibrium
A situation where no player can benefit by changing their strategy while others keep theirs unchanged.

Example: In a pricing game, if both companies set the same price, neither can gain by changing it.

Zero-Sum Game
A situation in which one player's gain is exactly balanced by the losses of other players.

Example: In poker, the total amount won by one player is equal to the total amount lost by others.

Dominant Strategy
A strategy that is best for a player, regardless of what the other players do.

Example: In a prisoner's dilemma, confessing is a dominant strategy for both players.

Payoff Matrix
A table that describes the payoffs in a strategic game for each combination of strategies.

Example: A payoff matrix can show the outcomes of different pricing strategies between two companies.

Mixed Strategy
A strategy where a player randomizes over possible moves to keep opponents uncertain.

Example: In rock-paper-scissors, a player may choose each option with equal probability.

Subgame Perfect Equilibrium
A refinement of Nash Equilibrium applicable in dynamic games with a sequential structure.

Example: In a multi-stage game, players must make optimal decisions at every stage.

Related Topics

Cooperative Game Theory
Focuses on how players can benefit from forming coalitions and making binding agreements.
advanced
Evolutionary Game Theory
Studies strategies in biological contexts, explaining how certain behaviors evolve.
advanced
Auction Theory
Analyzes how different auction formats affect bidding strategies and outcomes.
intermediate

Key Concepts

Nash EquilibriumZero-Sum GamesDominant StrategyBackward Induction