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 Barabasi-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.
Highlights
IntroductionThe social and economic behavior of a community of people has been successfully studied using the Ising model close to its critical points [1]-[5], see [6]-[9]
The social and economic behavior of a community of people has been successfully studied using the Ising model close to its critical points [1]-[5], see [6]-[9].According [10] [12]-[14], the tax evasion in a community of people remains a major cause of concern for governments
We study the behavior of the tax evasion on an agent community of honest citizens and tax evaders, where the agents are positioned on sites of complex networks, but using a version of non-equilibrium of the Zaklan model proposed by Lima [18] [19]
Summary
The social and economic behavior of a community of people has been successfully studied using the Ising model close to its critical points [1]-[5], see [6]-[9]. [7] [8] developed an economics model to study the problem of tax evasion dynamics on a people community. Zaklan et al [8] have studied the implications of conditional cooperation in a multi-agent-based framework They considered a large number of agents (people) who interact locally with each other and base their decision whether to evade taxes or not on the behavior of their neighbors. We study the behavior of the tax evasion on an agent community of honest citizens and tax evaders, where the agents are positioned on sites of complex networks, but using a version of non-equilibrium of the Zaklan model proposed by Lima [18] [19]. The motivation of this work is to study tax evasion on complex networks via a nonequilibrium dynamics model (MVM) with the objective to make this model as realistic as possible
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