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The existence of value in differential games

About this Title

Robert J. Elliott and Nigel J. Kalton

Publication: Memoirs of the American Mathematical Society
Publication Year: 1972; Number 126
ISBNs: 978-0-8218-1826-8 (print); 978-0-8218-9924-3 (online)
DOI: https://doi.org/10.1090/memo/0126
MathSciNet review: 0359845

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Table of Contents

Chapters

  • Introduction
  • 1. Definition of the game $G$
  • 2. The concept of value
  • 3. The value in the sense of Friedman
  • 4. Another formula for the Friedman upper and lower values
  • 5. The value in the sense of Fleming
  • 6. An estimate for $W^+ - W^-$
  • 7. Relaxed controls
  • 8. The existence of value under conditions (F1)–(F5)
  • 9. The existence of value without conditions (F1)–(F5)
  • 10. Games with general pay-off
  • 11. Optimal strategies and saddle points
  • 12. Relationship with the work of Friedman