Abstract
Within the context of agent-based Monte-Carlo simulations, we study the well-known majority-vote model (MVM) with noise applied to tax evasion on simple square lattices (LS), Honisch-Stauffer (SH), directed and undirected Bara-basi-Albert (BAD, BAU) networks. In to control the fluctuations for tax evasion in the economics model proposed by Zaklan, MVM is applied in the neighborhod of the noise critical qc to evolve the Zaklan model. The Zaklan model had been studied recently using the equilibrium Ising model. Here we show that the Zaklan model is robust because this can be studied using equilibrium dynamics of Ising model also through the nonequilibrium MVM and on various topologies cited above giving the same behavior regardless of dynamic or topology used here.
Highlights
The Ising model [1,2] has become a excellent tool for to study other models of social application
We show that the Zaklan model is robust because this can be studied using equilibrium dynamics of Ising model through the nonequilibrium majority-vote model (MVM) and on various topologies cited above giving the same behavior regardless of dynamic or topology used here
We do not live in a social equilibrium, any rumor or gossip can lead to a government or market chaos and we believe that nothing is better than a nonequilibrium model (MVM) to explain events of nonequilibrium
Summary
The Ising model [1,2] has become a excellent tool for to study other models of social application. We aim here is to extend the study of Zaklan et al [16], which illustrates how different levels of enforcement affect the tax evasion over time, to dynamics of MVM as an alternative model of nonequilibrium to the Ising model that is capable of reproduce the same results for analysis and control of the tax evasion fluctuations.
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