Skip to main content
SpringerLink
Log in

The Theory and Application of Differential Games

Proceedings of the NATO Advanced Study Institute held at the University of Warwick, Coventry, England, 27 August–6 September, 1974

  • Conference proceedings
  • © 1975

Overview

Editors:
  1. J. D. Grote

    1. Control Theory Centre, Department of Engineering, University of Warwick, Coventry, England

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 13)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (27 papers)

  1. Front Matter

    Pages I-XV
    Download chapter PDF

  2. The Past and Some Bits of the Future

    • Rufus Isaacs
    Pages 1-11

  3. Two Person Zero Sum Differential Games: An Overview

    • Leonard D. Berkovitz
    Pages 13-22

  4. Introduction to Differential Games I Competitive Dynamic Situations, Strategies, and Values

    • Robert J. Elliott
    Pages 23-34

  5. Introduction to Differential Games II: Stochastic Games and Parabolic Equations

    • Robert J. Elliott
    Pages 35-43

  6. Differential Games of Survival

    • N. J. Kalton
    Pages 45-61

  7. Solution Sets for N-Person Games

    • J. D. Grote
    Pages 63-75

  8. Alternatives to the Tree Model for Extensive Games

    • H. S. Witsenhausen
    Pages 77-84

  9. Cooperative and Non-Cooperative Differential Games

    • G. Leitmann
    Pages 85-96

  10. N-Person Stochastic Differential Games

    • Pravin Varaiya
    Pages 97-107

  11. Quantitative Games: Problem Statement and Examples, New Geometric Aspects

    • A. Blaquière
    Pages 109-120

  12. Strategic “Prejudgments” and Decision Criteria in N-Person Games

    • P. Lévine
    Pages 121-132

  13. Many Player Differential Games with Coalitions

    • W. E. Schmitendorf
    Pages 133-144

  14. Extension of 2 Person Zero Sum Game

    • H. Moulin
    Pages 145-156

  15. Differential Games with Partial Differential Equations

    • Emilio O. Roxin
    Pages 157-168

  16. The Tactical Air Game: A Multimove Game with Mixed Strategy Solution

    • Leonard D. Berkovitz
    Pages 169-177

  17. Impulsively Controlled D.G.

    • J. Case
    Pages 179-187

  18. The Theory of Hamiltonian Dynamical Systems, and an Application to Economics

    • Karl Shell
    Pages 189-199

  19. Averaged Hamiltonians in Differential Games

    • Robert J. Elliott
    Pages 201-207

  20. Computational Aspects in Two-Level Differential Games

    • L. F. Pau
    Pages 209-220
Back to top

Keywords

About this book

The ~irst international con~erence on differential games was held at Amherst, Massachusetts, in September 1969. A second meeting, partially supported by N.A.T.O., was held in Varenna, Italy, in June 1970. At these conferences many new theoretical results and applications, especially in economic problems, were presented. The present volume consists o~ the lectures presented at a N.A.T.O. Advanced Study Institute on the "Theory and Applications of Differential Games" held at the University of Warwick, Coventry, England, from 27th August to 6th September, 1974. The main contributions during the first week consisted of a survey of two person zero sum differential games by L. D. Berkovitz and four integrated lectures by R. J. Elliott and N. J. Kalton, who have made important contributions to the concept of "value" of a differential game. Applications were featured during the second week and included tactical air games, pursuit and evasion problems, as well as computational aspects. A closing lecture with historical perspectives was given by Rufus Issacs, the recognised pioneer of differential games theory.

Editors and Affiliations

  • Control Theory Centre, Department of Engineering, University of Warwick, Coventry, England

    J. D. Grote

Bibliographic Information

  • Book Title: The Theory and Application of Differential Games

  • Book Subtitle: Proceedings of the NATO Advanced Study Institute held at the University of Warwick, Coventry, England, 27 August–6 September, 1974

  • Editors: J. D. Grote

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-010-1804-3

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1975

  • Hardcover ISBN: 978-90-277-0581-5Due: 01 February 1975

  • Softcover ISBN: 978-94-010-1806-7Published: 03 October 2013

  • eBook ISBN: 978-94-010-1804-3Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XV, 310

  • Number of Illustrations: 5 b/w illustrations

  • Topics: Applications of Mathematics

Publish with us

Policies and ethics

Back to top

Search

Navigation