Non-Cooperative Game Theory

• Takako Fujiwara-Greve
Textbook

Part of the Monographs in Mathematical Economics book series (MOME, volume 1)

1. Front Matter
Pages i-xi
2. Takako Fujiwara-Greve
Pages 1-5
3. Takako Fujiwara-Greve
Pages 7-21
4. Takako Fujiwara-Greve
Pages 23-55
5. Takako Fujiwara-Greve
Pages 57-89
6. Takako Fujiwara-Greve
Pages 91-131
7. Takako Fujiwara-Greve
Pages 133-151
8. Takako Fujiwara-Greve
Pages 153-172
9. Takako Fujiwara-Greve
Pages 173-203
10. Takako Fujiwara-Greve
Pages 205-216
11. Takako Fujiwara-Greve
Pages 217-246
12. Back Matter
Pages 247-260

Introduction

This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. Many helpful exercises at various levels are provided at the end of each chapter. Therefore, this book is most suitable for readers who intend to study non-cooperative game theory rigorously for both theoretical studies and applications.

Game theory consists of non-cooperative games and cooperative games. This book covers only non-cooperative games, which are major tools used in current economics and related areas. Non-cooperative game theory aims to provide a mathematical prediction of strategic choices by decision makers (players) in situations of conflicting interest. Through the logical analyses of strategic choices, we obtain a better understanding of social (economic, business) problems and possible remedies. The book contains many well-known games such as the prisoner’s dilemma, chicken (hawk–dove) game, coordination game, centipede game, and Cournot, Bertrand, and Stackelberg models in oligopoly. It also covers some advanced frameworks such as repeated games with non-simultaneous moves, repeated games with overlapping generations, global games, and voluntarily separable repeated prisoner’s dilemma, so that readers familiar with basic game theory can expand their knowledge. The author’s own research is reflected in topics such as formulations of information and evolutionary stability, which makes this book unique.

Keywords

Economic Applications Equilibrium Concepts Evolutionary Stability Game Theory Non-cooperative Games

Authors and affiliations

• Takako Fujiwara-Greve
• 1
1. 1.Dept. of EconomicsKeio UniversityMinato-kuJapan

Bibliographic information

• DOI https://doi.org/10.1007/978-4-431-55645-9
• Copyright Information Springer Japan 2015
• Publisher Name Springer, Tokyo
• eBook Packages Mathematics and Statistics
• Print ISBN 978-4-431-55644-2
• Online ISBN 978-4-431-55645-9
• Series Print ISSN 2364-8279
• Series Online ISSN 2364-8287
• Buy this book on publisher's site
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