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Game Theory, Second Edition, 2014

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Thomas S. Ferguson

Mathematics Department, UCLA

- Take-Away Games.
- The Game of Nim.
- Graph Games.
- Sums of Combinatorial Games.
- Coin Turning Games.
- Green Hackenbush.

- The Strategic Form of a Game.
- Matrix Games. Domination.
- The Principle of Indifference.
- Solving Finite Games.
- The Extensive Form of a Game.
- Recursive and Stochastic Games.
- Infinite Games.

- Bimatrix Games -- Safety Levels.
- Noncooperative Games -- Equilibria.
- Models of Duopoly.
- Cooperative Games.

- Many-Person TU Games.
- Imputations and the Core.
- The Shapley Value.
- The Nucleolus.

- Utility Theory.
- Owen's Proof of the Minimax Theorem.
- Contraction Maps and Fixed Points.
- Existence of Equilibria in Finite Games.