THE APPLICATION OF GAME THEORY TO ASW DETECTION PROBLEMS

Abstract

The use of the mathematical theory of games for strategic analysis of ASW detection problems is surveyed, emphasizing the specification of strategic and environmental variables, the payoffs and the limitations on patrol and transit submarine movements, detection capabilities and evasive tactics. Games within a patrol zone are compared with games involving the whole barrier. 'Secure-detection' objectives are compared with 'detection' objectives. Continuous games involving only the choice of speeds for straight-line patrols and transits are analyzed, using secure-detection probability as a payoff function. In the analysis of patrol strategies, a non-uniform range law for detection by the patroller is assumed, and large matrix games are solved to discover the optimal patrol positions. A continuous version of these matrix games is shown to lead to similar results. From these analyses, a new definition of Secure Sweep Width is derived, which applies to strategic (minimax) transits and patrols. Repeated games with incomplete information are applied to an ASW patrol transit confrontation.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1967
Accession Number
AD0832058

Entities

People

  • Francis M. Sand
  • Harold W. Kuhn
  • John P. Mayberry
  • Michel L. Balinski
  • Norman I. Agin

Tags

DTIC Thesaurus Topics

  • Computational Science
  • Computer Simulations
  • Detection
  • Equations
  • Game Theory
  • Mathematical Analysis
  • Mathematical Models
  • Matrix Games
  • Military Research
  • Models
  • Probability
  • Probability Distributions
  • Random Variables
  • Simulations
  • Strategic Analysis
  • Submarine Detection
  • Theorems

Readers

  • Game Theory.
  • Maritime and Naval Warfare Studies
  • Theoretical Analysis.