Games, Fixed Points and Mathematical Economics
by Christian-Oliver Ewald
Number of pages: 134
These are lecture notes for a course in game theory which the author taught at the University of Kaiserslautern. Game Theory is a formal approach to study games: conflicts where some number of players take part and each one tries to maximize his utility in taking part in the conflict. This text covers general concepts of two person games, Brouwer’s fixed point theorem and Nash’s equilibrium theorem, more general equilibrium theorems, cooperative games and differential games.
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by John D. Williams - RAND Corporation
When this book was originally published in 1954, game theory was an esoteric and mysterious subject. Its popularity today can be traced at least in part to this book, which popularized the subject for amateurs and professionals throughout the world.
by Noam Nisan, at al. - Cambridge University Press
The subject matter of Algorithmic Game Theory covers many of the hottest area of useful new game theory research, introducing deep new problems, techniques, and perspectives that demand the attention of economists as well as computer scientists.
by Jim Ratliff
Lecture notes from a game-theory course the author taught to students in their second year of the economics PhD program. The material is also helpful to first-year PhD students learning game theory as part of their microeconomic-theory sequence.
by Giacomo Bonanno - University of California, Davis
This is a textbook on non-cooperative Game Theory with 165 solved exercises. It is intended to be rigorous and it includes several proofs. It is appropriate for an undergraduate class in game theory and also for a first-year graduate-level class.