Title
Multi-agent systems, Equiprobability, Gamma distributions and other Geometrical questions
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
Venue
Keywords
2007
Clinical Orthopaedics and Related Research
equiprobability,multi-agent systems,gamma distributions,economic models,economic model,multi agent system,phase space,gamma distribution,asymptotic distribution
Field
DocType
Volume
Statistical physics,Mathematical optimization,Equiprobability,Mathematical analysis,Phase space,Multi-agent system,Gamma distribution,Mathematics,Generalized gamma distribution,Asymptotic distribution
Journal
abs/0708.3
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Ricardo López-ruiz110927.16
Jaime Sanudo2269.86
Xavier Calbet311319.95