This volume is based on courses given by the author at the University of Kansas. The exposition is "gentle" because it requires only some knowledge of coordinate geometry; linear programming is not used. It is "mathematical" because it is more concerned with the mathematical solution of games than with their applications.
Existing textbooks on the topic tend to focus either on the applications or on the mathematics at a level that makes the works inaccessible to most non-mathematicians. This book nicely fits in between these two alternatives. It discusses examples and completely solves them with tools that require no more than high school algebra.
In this text, proofs are provided for both von Neumann's Minimax Theorem and the existence of the Nash Equilibrium in the $2 \times 2$ case. Readers will gain both a sense of the range of applications and a better understanding of the theoretical framework of these two deep mathematical concepts.
|Title||A Gentle Introduction to Game Theory (Mathematical World, Vol. 13) (Mathematical World, Vol. 13) (Mathematical World)|
|Publisher||American Mathematical Society|
|File size||4.7 Mb|
|eBook format||Paperback, (torrent)|
|Book rating||4.25 (4 votes)|