VALUES OF NON-ATOMIC GAMES, PART II: THE RANDOM ORDER APPROACH,
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1969
- Accession Number
- AD0692452
Entities
People
- Lloyd Shapley
- Robert Aumann
Organizations
- RAND Corporation