Mathematical Game Theory and Applications

An authoritative and quantitative approach to modern game theory with applications from diverse areas including economics, political science, military science, and finance.

• Explores areas which are not covered in current game theory texts, including a thorough examination of zero-sum game.
• Provides introductory material to game theory, including bargaining, parlour games, sport, networking games and dynamic games.
• Explores Bargaining models, discussing new result such as resource distributions, buyer-seller instructions and reputation in bargaining models.
• Theoretical results are presented along with numerous examples and detailed solutions at the end of each chapter.
• Presents a good balance of both theoretical foundations and complex applications of game theory.

Table of Contents

Chapter 1 Strategic-form two-player games
Chapter 2 Zero-sum games
Chapter 3 Non-cooperative strategic-form n-player games
Chapter 4 Extensive-form n-player games
Chapter 5 Parlor games and sport games
Chapter 6 Negotiation models
Chapter 7 Optimal stopping games
Chapter 8 Cooperative games
Chapter 9 Network games
Chapter 10 Dynamic games