Two-Person Zero-Sum Games
Noncooperative Games
- Concepts and Examples
- Optimality Principles
- Mixed Extension
- Existence of Nash Equilibrium
- Properties of Optimal Solutions
- Equilibrium in Joint Mixed Strategies
- Approximate Nash Equilibrium
- Different Approach I
- Different Approach II
Cooperative Games – Transferable Utility Games
- Games in Characteristic Function Form
- Multi-Choice Cooperative Games
- Population Monotonic Allocation Schemes
- Clan Games
- Restricted Games
Solution Concepts in Transferable Utility Games
Shapley Values
- Shapley Values for Transferable Utility Games
- Probabilistic Values
- Shapley Value for Multilinear Extension of Games
- Monotonicit
- Weighted Shapley Value
- Shapley Value for Restricted Games
- Shapley Value for Multi-choice Cooperative Games
- The Shapley Value as a Von Neumann-Morgenstern Utility
- Set-Valued Nonlinear Analogues of the Shapley Value
Cooperative Games – Non-Transferable Utility Games
Continuum Games
Values of Non-Atomic Games
Computational Game Theory
- Owen (1974) Approach
- Sankaran (1991) Approach
- Arin and Feltkamp (1997) Approach
- Andersen and Lind (1999) Approach