IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-01222500.html
   My bibliography  Save this paper

A Simple Probabilistic Approach of the Yard-Sale Model

Author

Listed:
  • Christophe Chorro

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

We propose in the present paper a probabilistic approach of the so-called Hayes (2002) Yard-Sale model using classical diffusion approximations of Markov chains. We partly recover, at the very least for small and high frequency transactions, recent results of Boghosian (2014) and Boghosian et al. (2015) concerning both wealth condensation in the absence of redistribution mechanisms and steady state distributions when a uniform capital taxation is imposed.

Suggested Citation

  • Christophe Chorro, 2015. "A Simple Probabilistic Approach of the Yard-Sale Model," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01222500, HAL.
    • Handle: RePEc:hal:cesptp:halshs-01222500
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01222500
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-01222500/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jean-Philippe Bouchaud & Marc Mezard, 2000. "Wealth condensation in a simple model of economy," Science & Finance (CFM) working paper archive 500026, Science & Finance, Capital Fund Management.
    2. Nicolas Bouleau & Christophe Chorro, 2015. "The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process," Documents de travail du Centre d'Economie de la Sorbonne 15024, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Nicolas Bouleau & Christophe Chorro, 2015. "The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01162452, HAL.
    4. Bouchaud, Jean-Philippe & Mézard, Marc, 2000. "Wealth condensation in a simple model of economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(3), pages 536-545.
    5. Fernholz, Ricardo T., 2016. "A Model of economic mobility and the distribution of wealth," Journal of Macroeconomics, Elsevier, vol. 50(C), pages 168-192.
    6. S. Ispolatov & P.L. Krapivsky & S. Redner, 1998. "Wealth distributions in asset exchange models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 2(2), pages 267-276, March.
    7. Sitabhra Sinha, 2003. "Stochastic Maps, Wealth Distribution in Random Asset Exchange Models and the Marginal Utility of Relative Wealth," Papers cond-mat/0304324, arXiv.org.
    8. Nicolas Bouleau & Christophe Chorro, 2015. "The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process," Post-Print halshs-01162452, HAL.
    9. Fernholz, Ricardo & Fernholz, Robert, 2014. "Instability and concentration in the distribution of wealth," Journal of Economic Dynamics and Control, Elsevier, vol. 44(C), pages 251-269.
    10. Nicolas Bouleau & Christophe Chorro, 2015. "The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process," Documents de travail du Centre d'Economie de la Sorbonne 15024r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jul 2015.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Christophe Chorro, 2015. "A Simple Probabilistic Approach of the Yard-Sale Model," Documents de travail du Centre d'Economie de la Sorbonne 15062, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. Christophe Chorro, 2015. "A Simple Probabilistic Approach of the Yard-Sale Model," Post-Print halshs-01222500, HAL.
    3. Chorro, Christophe, 2016. "A simple probabilistic approach of the Yard-Sale model," Statistics & Probability Letters, Elsevier, vol. 112(C), pages 35-40.
    4. Nicolas Bouleau & Christophe Chorro, 2015. "The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process," Documents de travail du Centre d'Economie de la Sorbonne 15024r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jul 2015.
    5. Nicolas Bouleau & Christophe Chorro, 2017. "The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01138383, HAL.
    6. Nicolas Bouleau & Christophe Chorro, 2017. "The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process," Post-Print hal-01138383, HAL.
    7. Nicolas Bouleau & Christophe Chorro, 2015. "The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process," Post-Print halshs-01162452, HAL.
    8. N. Bagatella-Flores & M. Rodriguez-Achach & H. F. Coronel-Brizio & A. R. Hernandez-Montoya, 2014. "Wealth distribution of simple exchange models coupled with extremal dynamics," Papers 1407.7153, arXiv.org.
    9. Bagatella-Flores, N. & Rodríguez-Achach, M. & Coronel-Brizio, H.F. & Hernández-Montoya, A.R., 2015. "Wealth distribution of simple exchange models coupled with extremal dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 168-175.
    10. Bouleau, Nicolas & Chorro, Christophe, 2017. "The impact of randomness on the distribution of wealth: Some economic aspects of the Wright–Fisher diffusion process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 379-395.
    11. Smerlak, Matteo, 2016. "Thermodynamics of inequalities: From precariousness to economic stratification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 40-50.
    12. 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.
    13. Braun, Dieter, 2006. "Nonequilibrium thermodynamics of wealth condensation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 714-722.
    14. Düring, Bertram & Matthes, Daniel & Toscani, Giuseppe, 2008. "A Boltzmann-type approach to the formation of wealth distribution curves," CoFE Discussion Papers 08/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    15. Düring, Bertram & Toscani, Giuseppe, 2008. "International and domestic trading and wealth distribution," CoFE Discussion Papers 08/02, University of Konstanz, Center of Finance and Econometrics (CoFE).
    16. 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.
    17. Düring, B. & Toscani, G., 2007. "Hydrodynamics from kinetic models of conservative economies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 493-506.
    18. J. R. Iglesias & R. M. C. de Almeida, 2011. "Entropy and equilibrium state of free market models," Papers 1108.5725, arXiv.org.
    19. Sam L. Polk & Bruce M. Boghosian, 2020. "The Nonuniversality of Wealth Distribution Tails Near Wealth Condensation Criticality," Papers 2006.15008, arXiv.org, revised Oct 2021.
    20. Li, Jie & Boghosian, Bruce M., 2018. "Duality in an asset exchange model for wealth distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 154-165.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:cesptp:halshs-01222500. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.