A HELICOPTER VERSUS SUBMARINE SEARCH GAME.

Abstract

How should helicopters use their dipping sonar so as to search for a submarine, now submerged and attempting to escape, which had been sighted a short time before. By some approximations to reality and a shift in the point of view the problem is brought to a simple two-person zero-sum game in which one side juggles areas and the other probability distributions. The solutions are exhibited and proved to be solutions by direct application of the definition of optimal strategies for a game. The solution may be understood with very little mathematical knowledge.It turns out that the helicopters should, generally speaking, spiral inward in the relative speed circle. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 09, 1966
Accession Number
AD0636169

Entities

People

  • J. M. Danskin

Organizations

  • Center for Naval Analyses

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Helicopters
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables
  • Submarine Detection
  • Submarines
  • Vehicles
  • Zero-Sum Games

Readers

  • Calculus or Mathematical Analysis
  • Educational Psychology
  • Game Theory.