Volume: 37; 2019; 395 pp; Hardcover
MSC: Primary 91; Secondary 92
Print ISBN: 978-1-4704-5029-8
Product Code: AMSTEXT/37
List Price: $82.00
AMS Member Price: $65.60
MAA Member Price: $73.80
Electronic ISBN: 978-1-4704-5287-2
Product Code: AMSTEXT/37.E
List Price: $82.00
AMS Member Price: $65.60
MAA Member Price: $73.80
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Supplemental Materials
An Introduction to Game-Theoretic Modelling: Third Edition
Share this pageMike Mesterton-Gibbons
This book introduces game theory and its
applications from an applied mathematician's perspective,
systematically developing tools and concepts for game-theoretic
modelling in the life and social sciences. Filled with down-to-earth
examples of strategic behavior in humans and other animals, the book
presents a unified account of the central ideas of both classical and
evolutionary game theory. Unlike many books on game theory, which
focus on mathematical and recreational aspects of the subject, this
book emphasizes using games to answer questions of current scientific
interest.
In the present third edition, the author has added substantial new material
on evolutionarily stable strategies and their use in behavioral ecology.
The only prerequisites are calculus and some exposure to matrix algebra,
probability, and differential equations.
An instructor's manual with additional exercises and solutions is
available electronically for those instructors/professors only who
have already adopted the textbook for classroom use. Please send email
to textbooks@ams.org for more
information.
Readership
Undergraduate and graduate students interested in game theory and biological modelling.
Reviews & Endorsements
There are plenty of exercises at the end of each chapter, and about every third one has an answer or hint included in the book. A solution manual is available for instructors. The book can be a good choice for a textbook IF the audience is right, that is, if the audience consists of students who know enough mathematics to fully appreciate it but do not mind the lack of the usual theorem-proof style. Perhaps students of applied mathematics are the best market for this book.
-- Miklós Bóna, University of Florida
Table of Contents
Table of Contents
An Introduction to Game-Theoretic Modelling: Third Edition
- Cover Cover11
- Title page iii4
- Preface xi12
- Acknowledgments xiii14
- Agenda 116
- Chapter 1. Community Games 924
- Chapter 2. Population Games 5772
- Chapter 3. Cooperative Games in Strategic Form 115130
- Chapter 4. Cooperative Games in Nonstrategic Form 135150
- Chapter 5. Cooperation and the Prisoner’s Dilemma 175190
- Chapter 6. Continuous Population Games 215230
- Chapter 7. Discrete Population Games 281296
- Chapter 8. Triadic Population Games 317332
- Chapter 9. Appraisal 359374
- Appendix A. Bimatrix Games 363378
- Appendix B. Answers or Hints for Selected Exercises 365380
- Bibliography 373388
- Index 387402
- Back Cover Back Cover1414