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Correlation between risk aversion and wealth distribution

Author

Listed:
  • Iglesias, J.R.
  • Gonçalves, S.
  • Abramson, G.
  • Vega, J.L.

Abstract

Different models of capital exchange among economic agents have been recently proposed trying to explain the emergence of Pareto's wealth power-law distribution. One important factor to be considered is the existence of risk aversion. In this paper, we study a model where agents possess different levels of risk aversion, going from a uniform to a random distribution. In all cases the risk aversion level for a given agent is constant during the simulation. While for uniform and constant risk aversion the system self-organizes in a distribution that goes from an unfair “one takes all” distribution to a Gaussian one, a random risk aversion can produce distributions going from exponential to log-normal and power-law. Besides, interesting correlations between wealth and risk aversion are found.

Suggested Citation

  • Iglesias, J.R. & Gonçalves, S. & Abramson, G. & Vega, J.L., 2004. "Correlation between risk aversion and wealth distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 186-192.
    • Handle: RePEc:eee:phsmap:v:342:y:2004:i:1:p:186-192
    DOI: 10.1016/j.physa.2004.04.077
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    Citations

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    Cited by:

    1. Patriarca, Marco & Chakraborti, Anirban & Germano, Guido, 2006. "Influence of saving propensity on the power-law tail of the wealth distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 723-736.
    2. Marius Leckelt & Johannes König & David Richter & Mitja D. Back & Carsten Schröder, 2022. "The personality traits of self-made and inherited millionaires," Palgrave Communications, Palgrave Macmillan, vol. 9(1), pages 1-12, December.
    3. Fuentes, Miguel A. & Kuperman, M. & Iglesias, J.R., 2006. "Living in an irrational society: Wealth distribution with correlations between risk and expected profits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(1), pages 112-117.
    4. Max Greenberg & H. Oliver Gao, 2024. "Twenty-five years of random asset exchange modeling," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(6), pages 1-27, June.
    5. Sitabhra Sinha, 2005. "The Rich Are Different!: Pareto Law from asymmetric interactions in asset exchange models," Papers physics/0504197, arXiv.org.
    6. Neñer, Julian & Laguna, María Fabiana, 2021. "Optimal risk in wealth exchange models: Agent dynamics from a microscopic perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    7. J. R. Iglesias & R. M. C. de Almeida, 2011. "Entropy and equilibrium state of free market models," Papers 1108.5725, arXiv.org.
    8. Rong-Wei Chu & Jun Nie & Bei Zhang, 2014. "Wealth distribution with state-dependent risk aversion," Research Working Paper RWP 13-9, Federal Reserve Bank of Kansas City.

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