Lion and Man: The Boundary Constraint.

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)

Document Details

Document Type
Technical Report
Publication Date
Sep 06, 1972
Accession Number
AD0748209

Entities

People

  • James O. Flynn

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Boundaries
  • Cooperation
  • Group Dynamics
  • Psychology
  • Recreation

Readers

  • Fluid Dynamics.
  • Game Theory.
  • Mathematical Modeling and Probability Theory.