CIRJE-F-446 "Growth Patterns of Two Types of Macro-Models: Limiting Behavior of One-and Two-Parameter Poisson-Dirichlet Models"
Author Name Aoki, Masanao
Date October 2006
Full Paper PDF file
Remarks "Nonself Averaging Phenomenons in Macroeconomics Examples", proc. of SPIE2007 Conference on Fluctuation and Noise., vol. 6602, 2007.
Abstract

This paper uses novel growth models composed of clusters of heterogeneous agents, and shows that limiting behavior of one-andtwo-parameter Poisson-Dirichlet models are qualitatively very different. As model sizes grow unboundedly, the coefficients of variations of extensive variables, such as the number of total clusters, and the numbers of clusters of specified sizes all approach zero in the one-parameter models, but not in the two-parameter models. In the calculations of the coefficients of variations Mittag-Leffler distributions arise naturally. We show that the distributions of the numbers of the clusters in the models havepower-law behavior.