Accession Number:

AD0752044

Title:

Some Results on Max-Min Pursuit.

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s):

• Flynn,James

Report Date:

1972-11-06

Pagination or Media Count:

34.0

Abstract:

A pursuer P and an evader E are confined to a subset S of the Euclidean plane. E, whose speed is bounded by or 1, wants to maintain the greatest possible distance between himself and P, whose speed is bounded by 1. It is shown that when S is a half-plane or a circle, E can prevent PE from falling below its initial value only if he can do so by using a strategy which keeps PE constant. The result is used to characterize d, the largest value of PE that E can maintain. Author

Descriptors:

• (*GAME THEORY
• EVASION)
• INTEGRAL EQUATIONS
• DIFFERENTIAL EQUATIONS
• STABILITY
• THEOREMS

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE