Accession Number:

AD0711036

Title:

VALUES OF NON-ATOMIC GAMES, III: VALUES AND DERIVATIVES,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1970-06-01

Pagination or Media Count:

45.0

Abstract:

A non-atomic game is a special kind of infinite-person game, in which no individual player has significance such games have recently attracted attention as models for mass phenomena in economics. In this Memorandum, the characteristic function of the game is extended to a space that includes not only the ordinary coalitions measurable sets of players, but also certain ideal coalitions--intuitively, sets to which a player can belong at any intensity between 0 and 1. The value of the game is then redefined in terms of the derivatives of this extended function, following the principle that a players value is based upon his incremental worth to coalitions. The close relation between this definition and those previously considered is established. Author

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE