A simple mechanism leading to first-order phase transitions in a model of tax evasion

Abstract

In this work we study a dynamics of tax evasion. We considered a fully-connected population divided in three compartments, namely honest tax payers, tax evaders and susceptibles, a class that is composed by honest tax payers that can become evaders. We consider a contagion model where the transitions among the compartments are governed by probabilities. Such probabilities represent the possible interactions among the indiviudals, as well as the government's fiscalization. We show by analytical and numerical calculations that the emergence of tax evaders in the population is associated with an active-absorbing nonequilibrium first-order phase transition. In the absorbing phase only honest tax payers survive in the steady states of the model, and we observe a coexistence of the three subpopulations in the active phase.

12 pages, 3 figures, to appear in IJMPC. arXiv admin note: text overlap with arXiv:1609.04338

References in corpus (14)

• Sociophysics: A review of Galam models
• On the Role of Zealotry in the Voter Model
• The role of inflexible minorities in the breaking of democratic opinion dynamics
• Van Kampen's expansion approach in an opinion formation model
• The influence of contrarians in the dynamics of opinion formation
• Models of Opinion Formation: Influence of Opinion Leaders
• Nonequilibrium phase transition in an open quantum spin system with long-range interaction
• A three-state kinetic agent-based model to analyze tax evasion dynamics
• Probing into the effectiveness of self-isolation policies in epidemic control
• Discontinuous phase transition in an open-ended Naming Game
• Mathematical models describing the effects of different tax evasion behaviors
• Tax evasion study in a society realized as a diluted Ising model with competing interactions
• Do the right thing
• Discontinuous transitions can survive to quenched disorder in a 2-dimensional nonequilibrium system

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