Game Theory

A Comprehensive Introduction

This book is intended as an introduction to game theory which goes beyond the field of application, economics, and which introduces the reader to as many different sides of game theory as possible within the limitations of an introduction. The main goal is to give an impression of the diversity of game theoretical models, while at the same time covering the standard topics. The book has an equal coverage of non-cooperative and cooperative games, and it covers several topics such as selecting Nash equilibria, non-transferable utility games, applications of game theory to logic, combinatorial and differential games.

Contents:

• Non-Cooperative Game Theory:

  • Two Person Zero-Sum Games
  • Applications of Minimax Theory
  • Solutions for General Non-Cooperative Games
  • More About Nash Equilibria
  • Games with Incomplete Information
  • Choosing Among Nash Equilibria
  • Repeated Games
  • Selected Topics in Non-Cooperative Games

• Cooperative Game Theory:

  • Introduction to Cooperative Games
  • Bargaining
  • TU Games: Classical Solutions
  • TU Games: Other Solutions
  • Solutions of NTU Games: The Core
  • Values of NTU Games
  • The Theory of Game Forms

Readership: Undergraduates and graduates studying game theory and those interested in game theory.
Key Features:

• Introduces the reader to as many different sides of game theory as possible, within the limitations of an introduction
• More detailed treatment of cooperative game theory
• More emphasis on parts of game theory which rarely show up in introductions, such as combinatorial games, applications to logic, differential games