Pareto and Boltzmann-Gibbs behaviors in a
deterministic multi-agent system
Autores: J. González-Estévez, M.G. Cosenza, R. López-Ruiz,
J. R. Sánchez
Referencia: Physica A, 387, 4637, (2008)
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 near 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 on the space of parameters of
the system
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