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Exchanges in complex networks: income and wealth distributions

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  • T. Di Matteo
  • T. Aste
  • S. T. Hyde

Abstract

We investigate the wealth evolution in a system of agents that exchange wealth through a disordered network in presence of an additive stochastic Gaussian noise. We show that the resulting wealth distribution is shaped by the degree distribution of the underlying network and in particular we verify that scale free networks generate distributions with power-law tails in the high-income region. Numerical simulations of wealth exchanges performed on two different kind of networks show the inner relation between the wealth distribution and the network properties and confirm the agreement with a self-consistent solution. We show that empirical data for the income distribution in Australia are qualitatively well described by our theoretical predictions.

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  • T. Di Matteo & T. Aste & S. T. Hyde, 2003. "Exchanges in complex networks: income and wealth distributions," Papers cond-mat/0310544, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0310544
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    Cited by:

    1. Kerim Eser Afc{s}ar & Mehmet Ozyi~git & Yusuf Yuksel & Umit Ak{i}nc{i}, 2021. "Testing the Goodwin Growth Cycles with Econophysics Approach in 2002-2019 Period in Turkey," Papers 2106.02546, arXiv.org.
    2. Arnab Chatterjee & Bikas K Chakrabarti, 2005. "Ideal-Gas Like Markets: Effect of Savings," Papers physics/0507136, arXiv.org, revised Jul 2005.
    3. Kemp, Jordan T. & Bettencourt, Luís M.A., 2022. "Statistical dynamics of wealth inequality in stochastic models of growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    4. Wright, Ian, 2009. "Implicit Microfoundations for Macroeconomics," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-27.
    5. Gogas, Periklis & Gupta, Rangan & Miller, Stephen M. & Papadimitriou, Theophilos & Sarantitis, Georgios Antonios, 2017. "Income inequality: A complex network analysis of US states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 423-437.
    6. Wright, Ian, 2005. "The social architecture of capitalism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 589-620.
    7. F. Clementi & M. Gallegati, 2005. "Pareto's Law of Income Distribution: Evidence for Germany, the United Kingdom, and the United States," Papers physics/0504217, arXiv.org, revised Mar 2006.
    8. Periklis Gogas & Rangan Gupta & Stephen M. Miller & Theophilos Papadimitriou & Georgios Antonios Sarantitis, 2015. "Income Inequality: A State-by-State Complex Network Analysis," Working Papers 201534, University of Pretoria, Department of Economics.
    9. T. Di Matteo & T. Aste & M. Gallegati, 2005. "Innovation flow through social networks: productivity distribution in France and Italy," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(3), pages 459-466, October.
    10. Stefan, F.M. & Atman, A.P.F., 2023. "Asymmetric rate of returns and wealth distribution influenced by the introduction of technical analysis into a behavioral agent-based model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).

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