| Hardcover ISBN: | 978-1-4704-5029-8 |
| Product Code: | AMSTEXT/37 |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| eBook ISBN: | 978-1-4704-5287-2 |
| Product Code: | AMSTEXT/37.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Hardcover ISBN: | 978-1-4704-5029-8 |
| eBook: ISBN: | 978-1-4704-5287-2 |
| Product Code: | AMSTEXT/37.B |
| List Price: | $174.00$131.50 |
| MAA Member Price: | $156.60$118.35 |
| AMS Member Price: | $139.20$105.20 |
| Hardcover ISBN: | 978-1-4704-5029-8 |
| Product Code: | AMSTEXT/37 |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| eBook ISBN: | 978-1-4704-5287-2 |
| Product Code: | AMSTEXT/37.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Hardcover ISBN: | 978-1-4704-5029-8 |
| eBook ISBN: | 978-1-4704-5287-2 |
| Product Code: | AMSTEXT/37.B |
| List Price: | $174.00$131.50 |
| MAA Member Price: | $156.60$118.35 |
| AMS Member Price: | $139.20$105.20 |
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Book DetailsPure and Applied Undergraduate TextsVolume: 37; 2019; 395 ppMSC: Primary 91; Secondary 92;
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.
Ancillaries:ReadershipUndergraduate and graduate students interested in game theory and biological modelling.
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Table of Contents
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Cover
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Title page
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Preface
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Acknowledgments
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Agenda
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Chapter 1. Community Games
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Chapter 2. Population Games
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Chapter 3. Cooperative Games in Strategic Form
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Chapter 4. Cooperative Games in Nonstrategic Form
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Chapter 5. Cooperation and the Prisoner’s Dilemma
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Chapter 6. Continuous Population Games
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Chapter 7. Discrete Population Games
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Chapter 8. Triadic Population Games
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Chapter 9. Appraisal
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Appendix A. Bimatrix Games
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Appendix B. Answers or Hints for Selected Exercises
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Bibliography
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Index
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Back Cover
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Additional Material
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Reviews
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The book is a good introductory survey of modelling situations using Gaming Theory. It begins with the work of John Nash, with discussion of Nash equilibria, and continues well beyond that point. It mentions the limitations of applications of gaming theory at the time of writing and suggests areas where there is significant opportunity for research. It is aimed at the undergraduate market.
John Bartlett, CMath MIMA
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseInstructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manualExamination Copy – for faculty considering an AMS textbook for a coursePermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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.
Ancillaries:
Undergraduate and graduate students interested in game theory and biological modelling.
-
Cover
-
Title page
-
Preface
-
Acknowledgments
-
Agenda
-
Chapter 1. Community Games
-
Chapter 2. Population Games
-
Chapter 3. Cooperative Games in Strategic Form
-
Chapter 4. Cooperative Games in Nonstrategic Form
-
Chapter 5. Cooperation and the Prisoner’s Dilemma
-
Chapter 6. Continuous Population Games
-
Chapter 7. Discrete Population Games
-
Chapter 8. Triadic Population Games
-
Chapter 9. Appraisal
-
Appendix A. Bimatrix Games
-
Appendix B. Answers or Hints for Selected Exercises
-
Bibliography
-
Index
-
Back Cover
-
The book is a good introductory survey of modelling situations using Gaming Theory. It begins with the work of John Nash, with discussion of Nash equilibria, and continues well beyond that point. It mentions the limitations of applications of gaming theory at the time of writing and suggests areas where there is significant opportunity for research. It is aimed at the undergraduate market.
John Bartlett, CMath MIMA
