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 Richard J. Nowakowski (ed.) - Cambridge University Press
The volume contains the first comprehensive explorations of misère games. It includes a tutorial for the very successful approach to analyzing misère impartial games and the first attempt at using it for misère partisan games.
by Douglas Gale - Cambridge University Press
This is a book on strategic foundations of the theory of competition. Using insights from game theory, the author develops a model to explain what actually goes on in markets and how a competitive general equilibrium is achieved.
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 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.