AN ATTACK-DEFENSE GAME WITH MATRIX STRATEGIES

Abstract

The paper presents the results and the method of analysis for an attack-defense game involving allocation of resources. Each player is assumed to have several different types of resources to be divided in an optimal fashion among a fixed set of targets. The payoff function of the game is convex. The 'No Soft-Spot' principle of M. Dresher, (Games of Strategy: Theory and Applications', Prentice-Hall, Englewood Cliffs, New Jersey, 1961). The results quoted are slightly less general than those given in the original version. This deficiency is overcome to a certain extent by the inclusion of a second payoff function and a more realistic example.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1966
Accession Number
AD0637465

Entities

People

  • N. D. Cohen

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aircraft Carriers
  • Aircrafts
  • Equations
  • Military Research
  • Probability
  • Probability Distributions
  • Ships
  • United States
  • Vector Spaces

Readers

  • Archaeological Resource Survey
  • Calculus or Mathematical Analysis
  • Game Theory.