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Game Theory, Game theory is the mathematical study of strategic decision…
Game Theory
What is Game Theory?
Focuses on competition, cooperation, or conflict between rational players
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Widely used in AI, economics, military strategy, and social behavior modeling
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Game Elements
Players
- The decision-makers (e.g., two agents, businesses, countries)
Strategies
- All the options a player can choose from
Payoffs
- Rewards or losses based on the strategy combination chosen
Game Type
- Zero-sum, cooperative, simultaneous, etc.
Nash Equilibrium
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→ Example:
- In Rock Paper Scissors, playing each option ⅓ of the time is a Nash Equilibrium
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Pareto Optimality
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Example:
- Splitting 100 coins: (50, 50) is Pareto optimal. (60, 60) isn’t even possible!
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Zero-Sum Games
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→ Used in adversarial AI like security, poker, and military games
→ Example:
- In chess, a win for you is a loss for the opponent
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- Game theory is the mathematical study of strategic decision-making where multiple agents (players) interact and the outcome depends on everyone's choices.
- All games in game theory share a set of basic components.
- One player’s gain = another player’s loss. The total payoff is constant (often zero).
- Game theory models are used in AI systems where agents must reason about others’ behavior.
