Game Theory and Its Applications

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...

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Bibliographic Details
Main Authors: Matsumoto, Akio, Szidarovszky, Ferenc (Author)
Format: eBook
Language:English
Published: Tokyo Springer Japan 2016, 2016
Edition:1st ed. 2016
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • Part I Noncooperative Games
  • 2 Discrete Static Games
  • 3 Continuous Static Games
  • 4 Relation to Other Mathematical Problems
  • 5 Existence of Equilibria
  • 6 Computation of Equilibria
  • 7 Special Matrix Games
  • 8 Uniqueness of Equilibria
  • 9 Repeated and Dynamic Games
  • 10 Games under Uncertainty
  • Part II Cooperative Games
  • 11 Solutions based on Characteristic Functions
  • 12 Conflict Resolution
  • 13 Multiobjective Optimization
  • 14 Social Choice
  • 15 Case Studies and Applications
  • Appendices
  • A Vector and Matrix Norms
  • B Convexity, Concavity
  • C Optimum Conditions
  • D Fixed Point Theorems
  • E Monotonic Mappings
  • F Duality in Linear Programming
  • G Multiobjective Optimization
  • H Stability and Controllability
  • References