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Mathematics

What is Game theory?

Game theory is the mathematical study of strategic decision-making — how rational players choose actions when the outcome depends on what others do. It's used in economics, biology, politics, and AI.

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Key things to understand

  • 1It models situations where each player's best move depends on others' moves.
  • 2A 'Nash equilibrium' is a state where no one can do better by changing alone.
  • 3The Prisoner's Dilemma shows how individual incentives can lead to worse group outcomes.
  • 4It explains competition, cooperation, auctions, and negotiation.

Frequently asked questions

What is the Prisoner's Dilemma?
A classic game where two players, each acting in self-interest, end up worse off than if they had cooperated.
What is a Nash equilibrium?
A set of choices where no player can improve their outcome by changing their own strategy alone.
Where is game theory used?
Economics, business strategy, evolutionary biology, politics, and AI.

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