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Abstract: A set of many identical interacting agents obeying a global additiveconstraint is considered. Under the hypothesis of equiprobability in thehigh-dimensional volume delimited in phase space by the constraint, thestatistical behavior of a generic agent over the ensemble is worked out. Theasymptotic distribution of that statistical behavior is derived fromgeometrical arguments. This distribution is related with the Gammadistributions found in several multi-agent economy models. The parallelism withall these systems is established. Also, as a collateral result, a formula forthe volume of high-dimensional symmetrical bodies is proposed.



Autor: Ricardo Lopez-Ruiz, Jaime Sanudo, Xavier Calbet

Fuente: https://arxiv.org/







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