Bernhard von Stengel, "Game Theory Basics (London School of Economics)"
London School of Economics | 2008 | ISBN: N/A | 161 pages | PDF | 1,1 MB
Game theory, and this text, use only a few prerequisitesfrom elementary linear algebra, probability theory, and some analysis. We introduce and illustrate each concept with examples, many pictures, and a minimum of notation. Not every concept is defined with a formal definition (although many concepts are), but instead explained by means of an example. The present text is complementary (or “orthogonal”) to most existing textbooks. First of all, it is mathematical in spirit, meaning it can be used as a textbook for teaching game theory as a mathematics course. On the other hand, the mathematics in this book should be accessible enough to students of economics, management, and other social sciences. The general emphasis of the book is to teach methods, not philosophy.
1 Nim and combinatorial games
2 Games as trees and in strategic form
3 Mixed strategy equilibria
4 Game trees with imperfect information
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