Accession Number:

AD0735067

Title:

Values of Non-Atomic Games, Part V: Monetary Economies

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

• Aumann, R. J.
• Shapley, L. S.

Report Date:

1971-08-01

Pagination or Media Count:

198.0

Abstract:

The report concludes a five-part series on the mathematical theory of non-atomic games. The term non-atomic, borrowed from measure theory and probability theory, signifies that in these games with infinitely many participants, no single individual is big enough to influence the outcome by himself. Such games have served as mathematical models for large-scale competitive systems in economics or politics. In this report the applications of the theory to a class of economics models are developed.

Descriptors:

• *ECONOMICS
• *GAME THEORY
• MATHEMATICAL MODELS
• PROBABILITY
• PRODUCTION CONTROL
• MONEY
• INEQUALITIES
• MEASURE THEORY
• BARGAINING
• SET THEORY
• PARTIAL DIFFERENTIAL EQUATIONS
• APPROXIMATION(MATHEMATICS)
• COMMERCE

Subject Categories:

• Economics and Cost Analysis
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE