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.
Home page url
Download or read it online for free here:
by Yoav Shoham, Kevin Leyton-Brown - Cambridge University Press
Multiagent systems consist of multiple autonomous entities having different information and diverging interests. This comprehensive introduction to the field offers a computer science perspective, but also draws on ideas from game theory.
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 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 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.