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

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 05, 1970
Accession Number
AD0701307

Entities

People

  • James Flynn

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Curvature
  • Curves (Geometry)
  • Differential Geometry
  • Geometric Forms
  • Geometry
  • Intervals
  • Lines (Geometry)
  • Mathematics
  • Motion

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Operations Research
  • Space Exploration and Orbital Mechanics.