Multi-agent systems, Equiprobability, Gamma distributions and other Geometrical questions
Chaotic Dynamics
2007-09-03 v2 Statistical Mechanics
Multiagent Systems
Physics and Society
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.
Cite
@article{arxiv.0708.3761,
title = {Multi-agent systems, Equiprobability, Gamma distributions and other Geometrical questions},
author = {Ricardo Lopez-Ruiz and Jaime Sanudo and Xavier Calbet},
journal= {arXiv preprint arXiv:0708.3761},
year = {2007}
}
Comments
15 pages, 3 figures