Accession Number : AD0701307

Title :   SOME BOUNDED PURSUIT GAMES WITH SIMPLE MOTION: I. CURVES.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Flynn ,James

Report Date : 05 JAN 1970

Pagination or Media Count : 27

Abstract : A pursuer P and an evader E move in the plane with continuous motion P with velocity 1 and E with velocity W = or > 1. Let E be confined to a curve. Suppose that P tries to get as close as possible to E while E tries to keep P as far away as possible, the payoff from P to E being the smallest distance between P and E during the interval of play. This report solves the case where E is confined to a curve of constant curvature (e.g., straight lines and circles). Extensions are probably available for other curves and the results obtained here may help shed light on bounded pursuit games in general. (Author)

Descriptors :   (*GAME THEORY, ANALYTIC GEOMETRY), EQUATIONS OF MOTION, DIFFERENTIAL EQUATIONS, EVASION, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE