ON THE DIRECT SUM AND TENSOR PRODUCT OF MATRIX GAMES,

reportActive / Technical Report | Accession Number: AD0622079 | Need Help?

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

Author(s):
Mond, Bertram
Author Organization(s):
AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO
Supplementary Note:
Pub. in Naval Research Logistics Quarterly v11 n2/3 Jun/Sep 1964.
Annotation:
Reprint: On the direct sum and tensor product of matrix games.
Pagination:
0012

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
ARL-65-221
Monitor Series:
65-221
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*MATRICES(MATHEMATICS), GAME THEORY), (*TENSOR ANALYSIS, MATRICES(MATHEMATICS)), (*LINEAR PROGRAMMING, GAME THEORY)
Keyword(s):
TENSOR PRODUCT
Report Date:
1964 Jan 01