SOME TOPICS IN TWO-PERSON GAMES

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Abstract:

Several loosely-related essays on the theory of finite, two-person games are presented. The topics covered are 1 the block decomposition of symmetric games 2 saddle points in matrices having submatrices with saddle points 3 generalized saddle points and order matrices 4 the existence of values in games with almost perfect information and 5 the nonconvergence of fictitious play in non-zero-sum games. Throughout, there is an emphasis on features of the theory that depend only on the ordering of the payoffs, as opposed to their numerical values.

Author(s):
Shapley, Lloyd S.
Author Organization(s):
RAND CORP SANTA MONICA CA
Pagination:
0048

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
RM-3672-PR
Monitor Series:
AFRDC
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_1_Force Support; JCA_3.2_Engagement; JCA_3_Force Application; JCA_3.2.1_Kinetic Means
Modernization Areas:
Fully Networked C3
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*GAME THEORY, MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), DETERMINANTS(MATHEMATICS)
Field(s)/Group(s):
Operations Research
Keyword(s):
TWO PERSON GAMES
Report Date:
1963 Jun 01