Controlling the Tax Evasion Dynamics via Majority-Vote Model on Various Topologies

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 Barabasi-Albert (BAD, BAU) networks. In to control the fluctuations for tax evasion in the economics model proposed by Zaklan, MVM is applied in the neighborhood 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.

A three-state kinetic agent-based model to analyze tax evasion dynamics

“…In another work, the dynamics of the model was also controlled by another two-state model, namely the majority-vote model with noise [19], where the noise q plays the role of the temperature. In this case, similar results were found [16], suggesting that the results of the Zaklan model are robust.…”

“…[20]. As usually occurs in Zaklan-like models [13][14][15][16], we have considered that initially all agents are honest, i.e., we have s i (t = 0) = +1 for all individuals i. In this case, we broke the above-mentioned symmetry of the stationary states of the ordered phase: for q < q c the majority of agents will be in the honest state s i = +1.…”

“…Models of tax evasion were firstly studied by economists [8][9][10][11][12], and more recently physicists became also interested in the subject [13][14][15][16][17][18] (for recent reviews, see…”

Tax Evasion Dynamics via Equilibrium and Non-Equilibrium Models on Solomon Networks

“…On Solomon networks a person or agent-based can be influenced by two types of neighbourhood, where the neighbours at home differ from the neighbours in the workplace except when everybody works at home. The Zaklan model of tax evasion can be evolved by dynamic equilibrium as the Ising model [1,2] and non-equilibrium Majority-vote [4] model and also on various topologies [11]. The Zaklan model incorporates concepts from econophysics; we argue here that Solomon networks are a good framework for simulating Zaklan model where taxpayers always make a prior consultation with their neighbours before making any final decisions.…”

Tax Evasion Dynamics via Non-Equilibrium Model on Directed Small-World Networks

“…Lima [17] proposed non-equilibrium model where each agent or person did have an opinion in the presence of a social noise (q) as in the original Majority-Vote Model (MVM) [18] [19]. This model is based on the knowledge that people do not live in a social equilibrium, and any rumor or gossip can lead to a government or market chaos.…”