Graduate Studies in Mathematics
Volume: 115;
2010;
324 pp;
Hardcover
MSC: Primary 91;
Secondary 90; 05
Print ISBN: 978-0-8218-5151-7
Product Code: GSM/115
List Price: $70.00
AMS Member Price: $56.00
MAA Member Price: $63.00
Electronic ISBN: 978-1-4704-1177-0
Product Code: GSM/115.E
List Price: $66.00
AMS Member Price: $52.80
MAA Member Price: $59.40
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Supplemental Materials
An Introductory Course on Mathematical Game Theory
Share this pageJulio González-Díaz; Ignacio García-Jurado; M. Gloria Fiestras-Janeiro
Game theory provides a mathematical setting for analyzing competition
and cooperation in interactive situations. The theory has been famously
applied in economics, but is relevant in many other sciences, such as
political science, biology, and, more recently, computer science.
This book presents an introductory and up-to-date course on game theory
addressed to mathematicians and economists, and to other scientists
having a basic mathematical background. The book is self-contained,
providing a formal description of the classic game-theoretic concepts
together with rigorous proofs of the main results in the field. The
theory is illustrated through abundant examples, applications, and
exercises.
The style is distinctively concise, while offering motivations and
interpretations of the theory to make the book accessible to a wide
readership. The basic concepts and results of game theory are given a
formal treatment, and the mathematical tools necessary to develop them
are carefully presented. Cooperative games are explained in detail,
with bargaining and TU-games being treated as part of a general
framework. The authors stress the relation between game theory and
operations research.
The book is suitable for a graduate or an advanced undergraduate course
on game theory.
This book is published in cooperation with Real Sociedad Matemática Española (RSME)
Readership
Advanced undergraduates and graduate students interested in game theory.
Reviews & Endorsements
If reviewers like a book, they often state that it deserves a place on your bookshelf. This book doesn't deserve such a desolate fate. It deserves a place on your student's desk, preferably with a broken spine from heavy use and densely annotated.
-- Game and Economic Behavior
Table of Contents
Table of Contents
An Introductory Course on Mathematical Game Theory
- Cover Cover11 free
- Title page iii4 free
- Contents vii8 free
- Preface xi12 free
- Introduction to decision theory 116 free
- Strategic games 1328 free
- Extensive games 99114
- Games with incomplete information 163178
- Cooperative games 203218
- Bibliography 293308
- Notations 309324
- Index of authors 311326 free
- Index of solution concepts 315330 free
- Subject index 317332
- Back Cover Back Cover1342