Game Theory

1. Cooperative Game Theory

Focus: Alliances, coalitions, and enforceable agreements among players.
Subtypes:
- Transferable Utility (TU) Games
- Non-Transferable Utility (NTU) Games
- Coalitional Games

2. Non-Cooperative Game Theory

Focus: Individual strategic decisions without binding agreements.
Key Concepts: Nash equilibrium, dominant strategies.

3. Symmetric vs. Asymmetric Games

- Symmetric: Identical strategy sets (e.g., Prisoner’s Dilemma)
- Asymmetric: Different strategies/payoffs (e.g., market competition)

4. Zero-Sum vs. Non-Zero-Sum Games

- Zero-Sum: One's gain = another's loss (e.g., poker)
- Non-Zero-Sum: Mutual outcomes possible (e.g., negotiations)

5. Simultaneous vs. Sequential Games

- Simultaneous: Concurrent decisions (e.g., rock-paper-scissors)
- Sequential: Turn-based extensive-form games (e.g., chess)

6. Perfect vs. Imperfect Information Games

- Perfect Information: Full knowledge of prior moves (e.g., chess)
- Imperfect Information: Hidden information (e.g., poker)

7. Combinatorial Game Theory

Focus: Deterministic perfect-information games (e.g., Go, checkers)

8. Evolutionary Game Theory

Focus: Strategy evolution in populations (e.g., Hawk-Dove game)

9. Bayesian Games

Focus: Incomplete information with probabilistic beliefs (e.g., auctions)

10. Repeated Games

Focus: Iterated interactions (e.g., Iterated Prisoner’s Dilemma)

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