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Tax Evasion And Nonequilibrium Model On Apollonian Networks

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  • F. W. S. LIMA

    (Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do, Piauí, Teresina, Piauí 64049-550, Brasil)

Abstract

The Zaklan model had been proposed and studied recently using the equilibrium Ising model on square lattices (SLs) by [G. Zaklan, F. Westerhoff and D. Stauffer,J. Econ. Interact. Coord.4, 1 (2008), arXiv:0801.2980; G. Zaklan, F. W. S. Lima and F. Westerhoff,Physica A387, 5857 (2008)], near the critical temperature of the Ising model presenting a well-defined phase transition; but on normal and modified Apollonian networks (ANs), [J. S. Andrade, Jr., H. J. Herrmann, R. F. S. Andrade, and L. R. da Silva,Phys. Rev. Lett.94, 018702 (2005); R. F. S. Andrade, J. S. Andrade Jr. and H. J. Herrmann,Phys. Rev. E79, 036105 (2009)] studied the equilibrium Ising model. They showed the equilibrium Ising model not to present on ANs a phase transition of the type for the 2D Ising model. Here, using agent-based Monte Carlo simulations, we study the Zaklan model with the well-known majority-vote model (MVM) with noise and apply it to tax evasion on ANs, to show that differently from the Ising model the MVM on ANs presents a well-defined phase transition. To control the tax evasion in the economics model proposed by Zaklanet al., MVM is applied in the neighborhood of the critical noiseqcto the Zaklan model. Here we show that the Zaklan model is robust because this can also be studied, besides using equilibrium dynamics of Ising model, through the nonequilibrium MVM and on various topologies giving the same behavior regardless of dynamic or topology used here.

Suggested Citation

  • F. W. S. Lima, 2012. "Tax Evasion And Nonequilibrium Model On Apollonian Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(11), pages 1-8.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:11:n:s0129183112500799
    DOI: 10.1142/S0129183112500799
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    References listed on IDEAS

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    1. Pickhardt, Michael & Seibold, Goetz, 2014. "Income tax evasion dynamics: Evidence from an agent-based econophysics model," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 147-160.
    2. ., 2006. "Physical and Social Indicators," Chapters, in: Middle East Oil Exporters, chapter 5, Edward Elgar Publishing.
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    Cited by:

    1. Giraldo-Barreto, Julian & Restrepo, J., 2021. "Tax evasion study in a society realized as a diluted Ising model with competing interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).

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