Game theory : a multi-leveled approach
Hans Peters (Author)
This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included
1 online resource (xvii, 494 pages) : illustrations
9783662469507, 9783662469491, 3662469502, 3662469499
910883956
Printed edition:
Introduction
Part I Thinking Strategically
Finite Two-Person Zero-Sum Games
Finite Two-Person Games
Finite Extensive Form Games
Finite Games with Incomplete Information
Noncooperative Games: Extensions
Repeated Games
An Introduction to Evolutionary Games
Cooperative Games with Transferable Utility
Cooperative Game Models
Social Choice
Part II Noncooperative Games
Matrix Games
Finite Games
Extensive Form Games
Evolutionary Games
Part III Cooperative Games
TU-Games: Dominationa, Stable Sets, and the Core
The Shapley Value
Core, Shapley Value, and Weber Set
The Nucleolus
Special Transferable Utility Games
Bargaining Problems
Part IV Tools
English