Transition from Pareto to Boltzmann-Gibbs behavior in a
deterministic economic model
Autores: J. González-Estévez, M.G. Cosenza, O. Alvarez-Llamoza, R. López-Ruiz
Referencia: Physica A, 388, 3521, (2009)
Abstract
The one-dimensional deterministic economic
model recently studied by González-Estévez
et al. [Physica A \textbf{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
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