Transition from Pareto to Boltzmann-Gibbs behavior in a deterministic economic model

Autor:	Gonzalez-Estevez, J., Cosenza, M. G., Alvarez-Llamoza, O., Lopez-Ruiz, R.
Rok vydání:	2008
Předmět:	Quantitative Finance - General Finance Condensed Matter - Statistical Mechanics Nonlinear Sciences - Adaptation and Self-Organizing Systems Physics - Physics and Society
Druh dokumentu:	Working Paper
DOI:	10.1016/j.physa.2009.04.031
Popis:	The one-dimensional deterministic economic model recently studied by Gonzalez-Estevez et al. [Physica A 387, 4367 (2008)] is considered on a two-dimensional square lattice with periodic boundary conditions. In this model, the evolution of each agent is described by a map coupled with its nearest neighbors. The map has two factors: a linear term that accounts for the agent's own tendency to grow and an exponential term that saturates this growth through the control effect of the environment. The regions in the parameter space where the system displays Pareto and Boltzmann-Gibbs statistics are calculated for the cases of von Neumann and of Moore's neighborhoods. It is found that, even when the parameters in the system are kept fixed, a transition from Pareto to Boltzmann-Gibbs behavior can occur when the number of neighbors of each agent increases. Comment: 10 pages, 14 figures. Submitted to Physica A
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0811.1064 Zobrazit plný text záznamu View this record from Arxiv