Accession Number : AD0692452

Title :   VALUES OF NON-ATOMIC GAMES, PART II: THE RANDOM ORDER APPROACH,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Aumann,Robert ; Shapley,Lloyd

Report Date : JUL 1969

Pagination or Media Count : 84

Abstract : The paper reports the second study in a series concerned with the value of participation in a non-atomic game. A non-atomic game is a special type of infinite-person game in which no individual player has significant influence on the outcome. The work develops the concept of mixing value and presents a new approach based on mixing transformations. A program is outlined for imposing a probability measure on the space of all measurable orders. Some consideration is given to the asymptotic approach, in which a game with a continuum is treated as a limit of games with finitely many players. It is significant that all values defined in the axiomatic, mixing, and asymptotic approaches possess a common diagonal property.

Descriptors :   (*GAME THEORY, MEASURE THEORY), SET THEORY, DECISION THEORY, PROBABILITY, MAPPING(TRANSFORMATIONS), ECONOMICS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE