Lion and Man: A Bounded Pursuit Game.

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Abstract:

A lion L and a man M move in a circular arena, the lion with speed 1 and the man with speed omega or 1. How close can the lion get to the man. Here the author formulates the problem as a differential game, shows that the game has a value, and constructs upper and lower bounds for the latter and an optimal strategy for the man. Author

Author(s):
Flynn, James
Author Organization(s):
STANFORD UNIV CALIF DEPT OF STATISTICS
Descriptive Note:
Technical rept.,
Pagination:
0050

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TR-161
Contract/Grant Number(s):
N00014-67-A-0112-0053
Project Number(s):
NR-042-267
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*GAME THEORY, MATHEMATICAL MODELS), SET THEORY, DECISION THEORY, BOUNDARY VALUE PROBLEMS, THEOREMS
Field(s)/Group(s):
Operations Research
Keyword(s):
LION AND MAN PROBLEM, PURSUIT EVASION GAMES, *GAME THEORY
Report Date:
1970 Oct 02