ON THE DIRECT SUM AND TENSOR PRODUCT OF MATRIX GAMES,

Abstract

A direct sum and tensor product of matrix games and of their equivalent linear programs are defined. The relationship of a 'composed' game to the corresponding 'composed' linear program is derived. Conditions are obtained for the solution of the direct sum or tensor product game to be determined from the solutions of the component games. Examples are given to show how many actual conflicts can be represented by direct sum or tensor product games. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0622079

Entities

People

  • Bertram Mond

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Linear Programming
  • Logistics
  • Matrix Games
  • Military Research

Readers

  • Game Theory.
  • Graph Algorithms and Convex Optimization.