Game Theory Basics

Analyze strategic interactions using game theory. Covers Nash equilibrium, dominant strategies, zero-sum games, cooperative games, and applications in pricing, auctions, and algorithm design.

Usage

Describe a strategic scenario to get game-theoretic analysis, or ask about specific game theory concepts.

Examples

• "Find the Nash equilibrium for this payoff matrix"
• "Explain the prisoner's dilemma and its applications"
• "How does game theory apply to auction design?"

Guidelines

• Model the game with players, strategies, and payoffs before analyzing
• Check for dominant strategies before looking for Nash equilibria
• Consider whether the game is simultaneous or sequential
• Mixed strategy equilibria exist when no pure strategy equilibrium does
• Real-world applications often require repeated game analysis