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In this paper we present a simplified model of a proportional taxation system where citizens decide whether to pay taxes or evade them. We initially derive a dynamic equation for the fraction of evaders and then present both its critical…

Physics and Society · Physics 2022-06-17 Alessio Emanuele Biondo , Giulio Burgio , Alessandro Pluchino , Damiano Puglisi

We develop a model of tax evasion based on the Ising model. We augment the model using an appropriate enforcement mechanism that may allow policy makers to curb tax evasion. With a certain probability tax evaders are subject to an audit. If…

General Finance · Quantitative Finance 2008-12-02 Georg Zaklan , Frank Westerhoff , Dietrich Stauffer

This paper presents a simple agent-based model of an economic system, populated by agents playing different games according to their different view about social cohesion and tax payment. After a first set of simulations, correctly…

General Finance · Quantitative Finance 2018-09-24 L. S. Di Mauro , A. Pluchino , A. E. Biondo

A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in which also tax evasion and auditing processes occur. The focus…

General Finance · Quantitative Finance 2017-05-03 M. L. Bertotti , G. Modanese

We analyze income tax evasion dynamics in a standard model of statistical mechanics, the Ising model of ferromagnetism. However, in contrast to previous research, we use an inhomogeneous multi-dimensional Ising model where the local degrees…

Physics and Society · Physics 2011-12-02 Michael Pickhardt , Goetz Seibold

In this work we study the problem of tax evasion on a fully-connected population. For this purpose, we consider that the agents may be in three different states, namely honest tax payers, tax evaders and undecided, that are individuals in…

Physics and Society · Physics 2014-08-13 Nuno Crokidakis

We incorporate the behaviour of tax evasion into the standard two-dimensional Ising model and augment it by providing policy-makers with the opportunity to curb tax evasion via an appropriate enforcement mechanism. We discuss different…

Physics and Society · Physics 2008-05-08 Frank Westerhoff , Welington Lima , Georg Zaklan

In this work we study a model of tax evasion. We considered a fixed population divided in three compartments, namely honest tax payers, tax evaders and a third class between the mentioned two, which we call \textit{susceptibles} to become…

Physics and Society · Physics 2017-05-24 Rafael M. Brum , Nuno Crokidakis

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…

Physics and Society · Physics 2022-09-26 Nuno Crokidakis

This paper introduces a novel stochastic framework for modelling tax evasion dynamics by extending the deterministic model of Bertotti and Modanese (2018) through the use of Piecewise Deterministic Markov Processes (PDMPs). A key limitation…

Physics and Society · Physics 2026-05-26 Jonas Mayr , Amira Meddah , Irene Tubikanec

Tax evasion, usually the largest component of an informal economy, is a persistent challenge over history with significant socio-economic implications. Many socio-economic studies investigate its dynamics, including influencing factors, the…

Information Retrieval · Computer Science 2025-09-03 Teddy Lazebnik , Labib Shami

We investigate the effect of tax evasion on the income distribution and the inequality index of a society through a kinetic model described by a set of nonlinear ordinary differential equations. The model allows to compute the global…

General Finance · Quantitative Finance 2014-08-25 Maria Letizia Bertotti , Giovanni Modanese

Microscopic models describing a whole of economic interactions in a closed society are considered. The presence of a tax system combined with a redistribution process is taken into account, as well as the occurrence of tax evasion. In…

General Finance · Quantitative Finance 2017-01-11 M. L. Bertotti , G. Modanese

We investigate an inhomogeneous Ising model in the context of tax evasion dynamics where different types of agents are parametrized via local temperatures and magnetic fields. In particular, we analyse the impact of backauditing and…

Physics and Society · Physics 2015-06-05 G. Seibold , M. Pickhardt

An agent-based model for firms' dynamics is developed. The model consists of firm agents with identical characteristic parameters and a bank agent. Dynamics of those agents is described by their balance sheets. Each firm tries to maximize…

General Finance · Quantitative Finance 2009-01-14 Hiroshi Iyetomi , Hideaki Aoyama , Yoshi Fujiwara , Yuichi Ikeda , Wataru Souma

We provide conditions for stable equilibrium in Cournot duopoly models with tax evasion and time delay. We prove that our conditions actually imply asymptotically stable equilibrium and delay independence. Conditions include the same…

Optimization and Control · Mathematics 2020-09-01 Raul Villafuerte-Segura , Eduardo Alvarado-Santos , Benjamin A. Itza-Ortiz

We embed the behaviour of tax evasion into the standard two-dimensional Ising model. In the presence of an external magnetic field, the Ising model is able to generate the empirically observed effect of tax morale, i.e. the phenomenon that…

Physics and Society · Physics 2008-06-03 G. Zaklan , F. W. S. Lima , F. Westerhoff

We propose a simple model that describes the dynamics of efficiencies of competing agents. Agents communicate leading to increase of efficiencies of underachievers, and an efficiency of each agent can increase or decrease irrespectively of…

Statistical Mechanics · Physics 2009-10-31 S. N. Majumdar , P. L. Krapivsky

In contemporary society, the effective utilization of public resources remains a subject of significant concern. A common issue arises from defectors seeking to obtain an excessive share of these resources for personal gain, potentially…

Dynamical Systems · Mathematics 2024-04-02 Lichen Wang , Yuyuan Liu , Ruqiang Guo , Liang Zhang , Linjie Liu , Shijia Hua

In multiagent dynamical systems, privacy protection corresponds to avoid disclosing the initial states of the agents while accomplishing a distributed task. The system-theoretic framework described in this paper for this scope, denoted…

Systems and Control · Computer Science 2020-12-16 Claudio Altafini
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