Game Theory and Its Applications

Description

This book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games and conflict resolution. The methodology is illustrated by carefully chosen examples, applications and case studies which are selected from economics, social sciences, engineering, the military and homeland security. This book is highly recommended to readers who are interested in the in-depth and up-to-date integration of the theory and ever-expanding application areas of game theory.

Key Features

• Presents serious theoretical development in an easy-to-follow style
• Provides computer methodology to solve a broad class of problems
• Includes a wide range of applications in many different areas

Table of Contents

1. 1 Introduction
2. Part I Noncooperative Games
   1. Discrete Static Games
   2. Continuous Static Games
   3. Relation to Other Mathematical Problems
   4. Existence of Equilibria
   5. Computation of Equilibria
   6. Special Matrix Games
   7. Uniqueness of Equilibria
   8. Repeated and Dynamic Games
   9. Games under Uncertainty
3. Part II Cooperative Games
   1. Solutions based on Characteristic Functions
   2. Conflict Resolution
   3. Multi objective Optimization
   4. Social Choice
   5. Case Studies and Applications
4. Appendices
   1. A Vector and Matrix Norms
   2. B Convexity, Concavity
   3. C Optimum Conditions
   4. D Fixed Point Theorems
   5. E Monotonic Mappings
   6. F Duality in Linear Programming
   7. G Multi objective Optimization
   8. H Stability and Controllability
5. References