AN ATTACK-DEFENSE GAME WITH MATRIX STRATEGIES,

Abstract

This memorandum 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, and the concept of the generalized inverse of a matrix are used to determine optimal strategies for each player and the value of the game. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1965
Accession Number
AD0615263

Entities

People

  • N. D. Cohen

Organizations

  • RAND Corporation

Tags

Readers

  • Game Theory.
  • Linear Algebra