Covering both noncooperative and cooperative games, this comprehensive introduction to game theory also includes some advanced chapters on auctions, games with incomplete information, games with vector payoffs, stable matchings and the bargaining set. Mathematically oriented, the book presents every theorem alongside a proof. The material is presented clearly and every concept is illustrated with concrete examples from a broad range of disciplines. With numerous exercises the book is a thorough and extensive guide to game theory from undergraduate through graduate courses in economics, mathematics, computer science, engineering and life sciences to being an authoritative reference for researchers.
This 1000+ page tome on Game Theory is a comprehensive look at game theory that will probably become one of the must-have student textbooks or references. But, if you set aside the mathematics described in detail, theorems and formulas for all of the game theories, there are also very good and varied analogies that are applicable to everyday life and across a broad set of disciplines. More is added as food for thought (if not a student, Mathematician, or scholar), within the pages and in the coursework Exercises.
The theorems and mathematical descriptions begin simply and then build upon each other. Theorems are analyzed and weighed as to their value, but also where they may fall short or are weaker than others in comparison.
There is a handy mathematical Notations description list to reference, and an Appendix with some proofs of theorems and other brief refreshers for those away from math or the field for some time.
As it is written in textbook format, the solutions to the Exercises are not available within these pages.
Not a mathematician, I cannot vouch for the accuracy of the theorems or equations.
A feast for those interested in the field.
(It's a shame Mr. Maschler passed away before realizing and celebrating the completion of this massive work.)