Stochastic Differential Games. Theory and Applications

  • Kandethody M. Ramachandran
  • Chris P. Tsokos

Part of the Atlantis Studies in Probability and Statistics book series (ATLANTISSPS, volume 2)

Table of contents

  1. Front Matter
    Pages i-x
  2. Kandethody M. Ramachandran, Chris P. Tsokos
    Pages 1-24
  3. Kandethody M. Ramachandran, Chris P. Tsokos
    Pages 25-45
  4. Kandethody M. Ramachandran, Chris P. Tsokos
    Pages 47-64
  5. Kandethody M. Ramachandran, Chris P. Tsokos
    Pages 65-71
  6. Kandethody M. Ramachandran, Chris P. Tsokos
    Pages 73-93
  7. Kandethody M. Ramachandran, Chris P. Tsokos
    Pages 95-145
  8. Kandethody M. Ramachandran, Chris P. Tsokos
    Pages 147-163
  9. Kandethody M. Ramachandran, Chris P. Tsokos
    Pages 165-214
  10. Kandethody M. Ramachandran, Chris P. Tsokos
    Pages 215-232
  11. Back Matter
    Pages 233-248

About this book

Introduction

Conflicts in the form of wars, or competition among countries and industrial institutions are plenty in human history. The introduction of game theory in the middle of the twentieth century shed insights and enabled researchers to analyze this subject with mathematical rigor. From the ground-breaking work of VonNeumann and Morgenston, modern game theory evolved enormously. In the last few decades, Dynamic game theory framework has been deepened and generalized from the pioneering work on differential games by R. Isaacs, L.S. Pontryagin and his school, and on stochastic games by Shapley. This book will expose the reader to some of the fundamental methodology in non-cooperative game theory, and highlight some numerical methods, along with some relevant applications.

Since the early development days, differential game theory has had a significant impact in such diverse disciplines as applied mathematics, economics, systems theory, engineering, operations, research, biology, ecology, environmental sciences, among others. Modern game theory now relies on wide ranging mathematical and computational methods, and relevant applications that are rich and challenging. Game theory has been widely recognized as an important tool in many fields. Importance of game theory to economics is illustrated by the fact that numerous game theorists, such as John Forbes Nash, Jr., Robert J. Aumann and Thomas C. Schelling, have won the Nobel Memorial Prize in Economics Sciences. Simply put, game-theory has the potential to reshape the analysis of human interaction.

Keywords

Competive advertising Equity investment Finance models Game theory Investor speculation

Authors and affiliations

  • Kandethody M. Ramachandran
    • 1
  • Chris P. Tsokos
    • 2
  1. 1., Department of Mathematics and StatisticsUniversity of South FloridaTampaUSA
  2. 2., Department of Mathematics and StatisticsUniversity of South FloridaTampaUSA

Bibliographic information

  • DOI https://doi.org/10.2991/978-94-91216-47-3
  • Copyright Information Atlantis Press 2012
  • Publisher Name Atlantis Press
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-94-91216-46-6
  • Online ISBN 978-94-91216-47-3
  • Series Print ISSN 1879-6893
  • Series Online ISSN 1879-6907
  • About this book