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 Christian Julmi - BookBoon
This textbook provides an overview of the field of game theory which analyses decision situations that have the character of games. The book is suitable as an introductory reading and is meant to sharpen the reader's strategic thinking abilities.
by Michael H. Albert, Richard J. Nowakowski - Cambridge University Press
This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games, and on aspects of games with infinitesimal values.
by Roger McCain - Drexel University
Striking an appropriate balance of mathematical and analytical rigor, this book teaches by example. Learners typically relate better to examples from their own fields, and McCain provides illustrations everyone can relate to.
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.