Title
Equiprobability, Entropy, Gamma Distributions and Other Geometrical Questions in Multi-Agent Systems
Abstract
A set of many identical interacting agents obeying a global additive constraint is considered. Under the hypothesis of equiprobability in the high-dimensional volume delimited in phase space by the constraint, the statistical behavior of a generic agent over the ensemble is worked out. The asymptotic distribution of that statistical behavior is derived from geometrical arguments. This distribution is related with the Gamma distributions found in several multi-agent economy models. The parallelism with all these systems is established. Also, as a collateral result, a formula for the volume of high-dimensional symmetrical bodies is proposed.
Year
DOI
Venue
2009
10.3390/e11040959
ENTROPY
Keywords
DocType
Volume
multi-agent systems,equiprobability,economic models,Gamma distributions
Journal
11
Issue
ISSN
Citations 
4
1099-4300
2
PageRank 
References 
Authors
0.65
3
3
Name
Order
Citations
PageRank
Ricardo López-ruiz110927.16
Jaime Sanudo2269.86
Xavier Calbet311319.95