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 Krzysztof Apt, Robert van Rooij - Amsterdam University Press
This volume testifies to the importance of game theory as a tool to capture the concepts of strategy, interaction, argumentation, communication, cooperation and competition. It provides evidence for the richness of game theory and its applications.
by Moshe Y. Vardi - ESSLLI
Games have shown to provide a useful paradigm for reasoning about reactive systems. This text demonstrates the power of the game-theoretic approach, by showing how it gives rise to a unifying algorithmic framework through the use of tree automata.
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.