Multi-agent systems, Equiprobability, Gamma distributions and other Geometrical questions

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dc.creatorLopez-Ruiz, Ricardo
dc.creatorSanudo, Jaime
dc.creatorCalbet, Xavier
dc.date2007-08-28
dc.date2007-09-03
dc.date.accessioned2026-07-07T08:26:50Z
dc.date.available2026-07-07T08:26:50Z
dc.descriptionA 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.
dc.description15 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0708.3761
dc.identifierhttp://arxiv.org/abs/0708.3761
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137075
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.subjectMultiagent Systems
dc.subjectPhysics and Society
dc.titleMulti-agent systems, Equiprobability, Gamma distributions and other Geometrical questions
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