TITLE:
Tax Evasion Dynamics via Non-Equilibrium Model on Complex Networks
AUTHORS:
Francisco W. S. Lima
KEYWORDS:
Opinion Dynamics, Sociophysics, Majority Vote, Non-Equilibrium
JOURNAL NAME:
Theoretical Economics Letters,
Vol.5 No.6,
December
29,
2015
ABSTRACT: The Zaklan model has
become an excellent mechanism to control the tax evasion fluctuations (TEF) in
a people- or agent-based community. Initially, the equilibrium Ising model (IM)
had been used as a dynamic of temporal
evolution of the Zaklan model near the critical point of the IM. On some
complex network the IM presents no critical points or well-defined phase
transitions. Then, through Monte Carlo simulations we study the
recurring problem of the TEF control using the version of non-equilibrium
Zaklan model as a control mechanism for TEF via agent-based non-equilibrium
majority-vote model (MVM). Here we study the TEF on directed Barabási-Albert
(BAD) and Apollonian (ANs) networks where the IM is not applied. We show that
the Zaklan model can be also studied using non-equilibrium dynamics through of
the non-equilibrium MVM on complex topologies cited above, giving the behavior
of the TEF regardless of dynamic or topology used here.