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 J. Orlin Grabbe - arXiv
This essay gives a self-contained introduction to quantum game theory, and is primarily oriented to economists with little or no acquaintance with quantum mechanics. It assumes little more than a basic knowledge of vector algebra.
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 Melvin Dresher - RAND Corporation
This book introduces readers to the basic concepts of game theory and its applications for military, economic, and political problems, as well as its usefulness in decisionmaking in business, operations research, and behavioral science.
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.