Accession Number : AD0748209

Title :   Lion and Man: The Boundary Constraint.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Flynn,James O.

Report Date : 06 SEP 1972

Pagination or Media Count : 32

Abstract : The author considers a generalization of Rado's pursuit problem. A pursuer, moving in a circular arena with speed bounded by 1, tries to get as close as possible to an evader, moving along the circumference with speed bounded by w > or = 1. Using the approach of Ryll-Nardzewski and Varaiya and Lin, the author formulates this problem as a differential game. Then the author determines the value and construct optimal strategies for both players. The results are compared with Isaacs' on pursuit in the half-plane. (Author)

Descriptors :   (*GAME THEORY, OPTIMIZATION), DIFFERENTIAL EQUATIONS, EVASION, MATHEMATICAL MODELS, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE