THE PROBLEM OF AIMING AND EVASION

Abstract

The general problem of a marksman versus a mobile target, with a time lag in the gunner's information as to the target's position, is mathematically analyzed. Formulated in terms of game theory, the desiderata are: How should the target best maneuver to confound prediction of his position. How and when should the marksman make this prediction. What hit probability is to be expected when both participants behave optimally. The emphasis is on the marksman. He has no optimal strategy, but does have an ideal strategy with the property that every near optimal strategy is close to it. He also has a class of passive epsilon-strategies such that if and only if he obeys their dictates will he either come within epsilon of the best hit probability or else always remain in a position where it is possible to do so.

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Document Details

Document Type
Technical Report
Publication Date
Mar 14, 1955
Accession Number
AD0604643

Entities

People

  • Rufus Isaacs

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Anti-Aircraft Guns
  • Battleships
  • Detection
  • Equations
  • Game Theory
  • Hit Probabilities
  • Maneuvers
  • Probability
  • Probability Distributions
  • Ships
  • Steady State
  • Theorems

Readers

  • Game Theory.
  • Marksmanship and Weaponry.
  • Systems Analysis and Design