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Game Theory Text
Thomas S. Ferguson
Mathematics Department, UCLA
Introduction.
Part I: Impartial Combinatorial Games.
Take-Away Games.
The Game of Nim.
Graph Games.
Sums of Combinatorial Games.
Coin Turning Games.
Green Hackenbush.
Part II: Two-Person Zero-Sum Games.
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.
Continuous Poker Models.
Part III: Two-Person General-Sum Games.
Bimatrix Games -- Safety Levels.
Noncooperative Games -- Equilibria.
Models of Duopoly.
Cooperative Games.
Part IV: Games in Coalitional Form.
Many-Person TU Games.
Imputations and the Core.
The Shapley Value.
The Nucleolus.
Appendix.
Utility Theory.
Contraction Maps and Fixed Points.
Existence of Equilibria in Finite Games.
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