Pareto and Boltzmann-Gibbs behaviors in a
deterministic economic model
Authors: M.G. Cosenza, J. González-Estévez, R. López-Ruiz, O. Alvarez-Llamoza
Abstract
A deterministic system of interacting
agents is considered as a model for economic
dynamics. The dynamics of the system is
described by a coupled map lattice with
nearest neighbor interactions. The evolution
of each agent results from the competition
between two factors: the agent.s own tendency
to grow and the environmental influence that
moderates this growth. Depending on the values
of the parameters that control these factors,
the system can display Pareto or Boltzmann.
Gibbs statistical behaviors in its asymptotic
dynamical regime. The regions where these
behaviors appear are calculated on the space
of parameters of the system. Other statistical
properties, such as the mean wealth, the
standard deviation, and the Gini coefficient
characterizing the degree of equity in the
wealth distribution are also calculated
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