Title | ||
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Multi-agent systems, Equiprobability, Gamma distributions and other Geometrical questions |
Abstract | ||
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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 |
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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-ruiz | 1 | 109 | 27.16 |
Jaime Sanudo | 2 | 26 | 9.86 |
Xavier Calbet | 3 | 113 | 19.95 |