AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
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
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